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ia/electromagneticr0009jgem.pdf

Electromagnetic Radiation in Space J. G. Emming Springer-Verlag New York Inc., Volume 9, 1967

English [en] · PDF · 17.7MB · 1967 · 📗 Book (unknown) · 🚀/ia · Save

ia/recentresultsinc0003vari.pdf

Recent results in cancer research Various Springer-verlag new york, Heidelberg, berlin 1969 1969 Various Springer-verlag new york, Inc. 1966, Volume 3, 1966

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duxiu/initial_release/Regular Structures Lectures in Pattern Theory Volume III_40399703.zip

Regular Structures : Lectures in Pattern Theory Volume III Ulf Grenander, U. Grenander Springer-Verlag New York,Inc, Softcover reprint of the original 1st ed. 1981, January 1981

Applied Mathematical Sciences Erscheinungsdatum: 04.05.1981

English [en] · PDF · 173.6MB · 1981 · 📗 Book (unknown) · 🚀/duxiu/zlibzh · Save

ia/bwb_P8-ABT-535.pdf

THE NUMERICAL TREATMENT OF DIFFERENTIAL EQUATIONS DR. LOTHAR COLLATZ SPRINGER-VERLAG NEW YORK INC., 1966

English [en] · PDF · 27.9MB · 1966 · 📗 Book (unknown) · 🚀/ia · Save

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ia/thymus0000dona.pdf

the thymus donald metcalf springer-verlag new york, inc., 1966

English [en] · PDF · 12.5MB · 1966 · 📗 Book (unknown) · 🚀/ia · Save

ia/virologymonograp0005aska.pdf

virology monographs a. s. kaplan springer-verlag new york inc., Volume 5, 1969

English [en] · PDF · 10.5MB · 1969 · 📗 Book (unknown) · 🚀/ia/zlib · Save

lgli/Thomas W. Hungerford - Algebra 73(1974, Springer-Verlag New York, Inc.).pdf

This book is intended to serve as a basic text for an algebra course at the beginning graduate level. Its writing was begun several years ago when I was unable to find a one-volume text which I considered suitable for such a course. My criteria for "suitability," which I hope are met in the present book, are as follows.(i) A conscious effort has been made to produce a text which an average (but reasonably prepared) graduate student might read by himself without undue diffi- culty. The stress is on clarity rather than brevity.(ii) For the reader's convenience the book is essentially self-contained. Con- sequently it includes much undergraduate level material which may be easily omitted by the better prepared reader.(iii) Since there is no universal agreement on the content of a first year graduate algebra course we have included more material than could reasonably be covered in a single year. The major areas covered are treated in sufficient breadth and depth for the first year graduate level. Unfortunately reasons of space and economics ha ve forced the omission of certain topics, such as valuation theory. For the most part these omitted subjects are those which seem to be least likely to be covered in a one year course.(iv) The text is arranged to provide the instructor with maximum flexibility in the choice, order and degree of coverage of topics. without sacrificing readability for the student.(v) There is an unusually large number of exercises.NOTE: The PDF version is electronically friendly and contains table of contents

English [en] · PDF · 74.5MB · 1974 · 📘 Book (non-fiction) · 🚀/lgli/zlib · Save

ia/glossaryofgeneti0000rigo.pdf

a glossary of genetics and cytogenetics classical and molecular Rigomar Rieger, Arnd Michaelis, Melvin M. Green Springer- Verlag New York INc., 1968

English [en] · PDF · 31.1MB · 1968 · 📗 Book (unknown) · 🚀/ia · Save

ia/virologymonograp0003jbha.pdf

virology monographs J.B. Hanshaw, W. Plowright, K.E. Weiss Springer-Verlag, New York Inc., Volume 3, 1968

English [en] · PDF · 11.2MB · 1968 · 📗 Book (unknown) · 🚀/ia/zlib · Save

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ia/transmissionofin0000henn.pdf

Transmission of information by orthogonal functions Henning F. Harmuth Springer-Verlag New York inc., New York, New York State, 1969

English [en] · PDF · 16.2MB · 1969 · 📗 Book (unknown) · 🚀/ia · Save

ia/linearturningpoi0000waso.pdf

Linear Turning Point Theory (Applied Mathematical Sciences (54)) Wolfgang Richard Wasow New York: Springer-Verlag, Springer Nature, New York, NY, 2012

My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task, I have concentrated, in this exposi tion, on the aspects of the asymptotic theory with which I have been particularly concerned during those 20 years, which is the nature and structure of turning points. As in Chapter VIII of my previous book, only linear analytic differential equations are considered, but the inclusion of important new ideas and results, as well as the development of the neces sary background material have made this an exposition of book length. The formal theory of linear analytic differential equations without a parameter near singularities with respect to the independent variable has, in recent years, been greatly deepened by bringing to it methods of modern algebra and topology. It is very probable that many of these ideas could also be applied to the problems concerning singularities with respect to a parameter, and I hope that this will be done in the near future. It is less likely, however, that the analytic, as opposed to the formal, aspects of turning point theory will greatly benefit from such an algebraization. Erscheinungsdatum: 07.01.1985

English [en] · PDF · 12.0MB · 2012 · 📗 Book (unknown) · 🚀/ia · Save

duxiu/initial_release/a_40501723.zip

Theory of Functional Differential Equations (Applied Mathematical Sciences, Vol 3) JACK HALE, Hale, Jack K., Jack K Hale, J. K. Hale SPRINGER-VERLAG NEW YORK INC., 1977, 1977

Jack Hale. First Ed. Published In 1971 Under Title: Functional Differential Equations. Includes Index. Bibliography: P. 343-360.

English [en] · PDF · 103.0MB · 1977 · 📗 Book (unknown) · 🚀/duxiu/zlibzh · Save

nexusstc/Bifurcation Theory of Functional Differential Equations/6aa4c274431c529849a687f9deabd82d.pdf

Bifurcation theory of functional differential equations : bizarre bodies of the solar system and beyond Shangjiang Guo, Jianhong Wu (auth.) Springer-Verlag New York Inc., Applied Mathematical Sciences, Applied Mathematical Sciences 184, 1, 2013

This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada). Erscheinungsdatum: 30.07.2013

English [en] · PDF · 3.1MB · 2013 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save

lgli/M_Mathematics/MC_Calculus/MCf_Functional analysis/Friedrichs K.O. Spectral theory of operators in Hilbert space (Springer, 1973)(ISBN 9780387900766)(T)(249s)_MCf_.djvu

Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9) Kurt O. Friedrichs Springer New York, Applied Mathematical Sciences, Applied Mathematical Sciences, 1, 1973

The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation. Erscheinungsdatum: 01.01.1973

English [en] · DJVU · 2.0MB · 1973 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save

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ia/propertiesofwate0000erns.pdf

Properties of Water and Steam in SI-Units Ernst Schmidt Springer - Verlag New York Inc., 1969

English [en] · Latin [la] · PDF · 16.2MB · 1969 · 📗 Book (unknown) · 🚀/ia · Save

lgli/P_Physics/PC_Classical physics/PCfm_Fluid mechanics/Courant R., Friedrichs K.O. Supersonic flows and shock waves (Interscience, 1948)(ISBN 0387902325)(T)(479s)_PCfm_.djvu

Supersonic flows and shock waves [By] Richard Courant and Kurt Otto Friedrichs Springer-Verlag, Applied Mathematical Sciences, 1977

The Springer edition of this book is an unchanged reprint of Courant and Friedrich's classical treatise which was first published in 1948. The basic research for it took place during World War II, but there are many aspects which still make the book interesting as a text and as a reference. It treats basic aspects of the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it accounts for classical as well as some fairly recent developments. The authors intend their audience to be engineers, physicists and mathematicians alike. Erscheinungsdatum: 03.02.1977

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duxiu/initial_release/a_40490671.zip

STOCHASTIC APPROXIMATION ALGORITHMS AND APPLICATIONS,HAROLD J.KUSHNER,G.GEORGE YIN,SPRINGER-VERLAG NEW YORK INC. 1997, 1997

English [en] · PDF · 121.3MB · 1997 · 📗 Book (unknown) · 🚀/duxiu/zlibzh · Save

nexusstc/Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences)/adca020573482fc419e900962cfb0b39.pdf

Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences (134)) Robert Vein, Paul Dale Springer US, Applied Mathematical Sciences, 1, 1998

This book, as usual by the excellent Springer publishers, continues the trend launched by the Clifford algebra people (Lounesto, Chisholm, Baylis, Pezzaglia, Okubo, Benn, etc. - see reviews of some of them), namely, to SIMPLIFY the mathematics of physics by using appropriate ALGEBRAIC techniques rather than geometry or calculus or other techniques. Both this book by Vein and Dale and the Clifford algebra books and papers use algebra in physics largely to replace hard to manipulate geometry and unwieldly matrices. A matrix is an algebraic quantity, but it is very hard to handle: it is essentially a table of numbers, for example a table of people's heights, or people's heights by weights. You add tables by adding corresponding positions in each table, and likewise for subtracting, while multiplication is much more complicated. However, as Vein and Dale show, you can replace many results in physics which involve matrices by DETERMINANTS. A determinant is a single number, typically, which is gotten by combining the numbers of the matrix table in a certain way given by a formula. Thus, replacing a matrix by a determinant means replacing a table by a single number. It turns out that the Einstein Equation(s) of general relativity can be solved in this way (for the axially symmetric field), and likewise for equations involving solitary waves (Kadomtsev-Petashvili equation), waves in a rotating fluid (Benjamin-Ono equation), etc. An important tool in this process is Backlund transformations, which are described in the appendix but are more thoroughly described in the 1989 book of Bluman and Kumei which (together with their journal publications) initiated much of the simplification of differential equations of the modern era. That book, as you may guess, was also published by Springer/Springer-Verlag.

English [en] · PDF · 2.1MB · 1998 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

lgli/D:\!Genesis\!!ForLG\!!!3\Gliklikh,.Global.Analysis.in.Mathematical.Physics-Geometric.and.Stochastic.Methods,.Springer,.1997,.227s._WPCBJ_.pdf

Global Analysis In Mathematical Physics: Geometric And Stochastic Methods (applied Mathematical Sciences (springer-verlag), 122) Yuri Gliklikh, Viktor L. Ginzburg Springer-Verlag, Springer-Verlag , 122, 1ST, 1997

This book gives a common treatment to three areas of application of Global analysis to Mathematical Physics previously considered quite distant from each other. These areas are the geometry of manifolds applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics.

English [en] · PDF · 18.8MB · 1997 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

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upload/newsarch_ebooks_2025_10/2017/06/24/1441928340.pdf

Box Splines (Applied Mathematical Sciences, 98) Carl de Boor, Klaus Höllig, Sherman Riemenschneider (auth.) Springer-Verlag New York Inc, Applied Mathematical Sciences, 1. ed., softcover version of original hardcover edition 1993, New York, NY, 2010

Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur faces (in Computer Aided Geometric Design). Since they are compactly supported, their linear span has the needed flexibility to approximate at all, and the systems to be solved in the construction of approximations are 'banded'. The construction of compactly supported smooth piecewise polynomials becomes ever more difficult as the dimension, s, of their domain G ~ IRs, i. e. , the number of arguments, increases. In the univariate case, there is only one kind of cell in any useful partition, namely, an interval, and its boundary consists of two separated points, across which polynomial pieces would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num ber of smoothness conditions across such a breakpoint should not exceed the polynomial degree (since that would force the two joining polynomial pieces to coincide). In particular, on any partition, there are (nontrivial) compactly supported piecewise polynomials of degree ~ k and in C(k-l), of which the univariate B-spline is the most useful example. Erscheinungsdatum: 03.12.2010

English [en] · PDF · 17.8MB · 1993 · 📘 Book (non-fiction) · 🚀/lgli/scihub/upload · Save

nexusstc/Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields/f7fffd96ae4eb4a03537c7500e1e5ed3.pdf

Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields J. HOLMES, P. GUCKENHEIMER Springer-Verlag New York Inc., 2002

English [en] · PDF · 18.9MB · 2002 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

nexusstc/Partial Differential Equations/b3fe4d6a58313733871bb832c4e7ad86.pdf

Partial Differential Equations (Applied Mathematical Sciences Vol. 1) Fritz John Springer Spektrum. in Springer-Verlag GmbH, Applied Mathematical Sciences (Book 1), 4, 1991

This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy’s example of a linear equation without solutions.

English [en] · PDF · 47.9MB · 1991 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

lgli/A:\compressed\10.1007%2F978-0-387-21740-6.pdf

The Energy Method, Stability, and Nonlinear Convection (Applied Mathematical Sciences, 91) Brian Straughan (auth.) Springer-Verlag New York, Applied Mathematical Sciences, Applied Mathematical Sciences 91, 2, 2004

This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2-4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time. This volume is a completely revised version of the first edition published in 1992. In addition to an update of material from the first edition, six new chapters have been added, covering topics such as multi-component convection-diffusion, convection flows in a compressible fluid, models of penetrative convection, convection with temperature-dependent viscosity and thermal conductivity, and stability of ocean flows. The final chapter gives details of two very different but highly accurate and efficient methods for numerically solving eigenvalue problems that arise in hydrodynamic stability. The new methods developed during the last eleven years and presented here will be of use to many readers in applied mathematics, engineering, physics, and other mathematical disciplines.

English [en] · PDF · 9.2MB · 2004 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save

scihub/10.1007/978-1-4612-1118-1.pdf

[Applied Mathematical Sciences] Operational Calculus Volume 55 || K. Yosida (auth.) Springer New York : Imprint : Springer, 10.1007/97, 1984

In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. In his operational calculus, the operator of differentiation was denoted by the symbol "p". The explanation of this operator p as given by him was difficult to understand and to use, and the range of the validƯ ity of his calculus remains unclear still now, although it was widely noticed that his calculus gives correct results in general. In the 1930s, Gustav Doetsch and many other mathematicians began to strive for the mathematical foundation of Heaviside's operational calculus by virtue of the Laplace transform -pt e f(t)dt. (However, the use of such integrals naturally confronts restrictions conƯ cerning the growth behavior of the numerical function f(t) as t ~ ~. At about the midcentury, Jan Mikusinski invented the theory of conƯ volution quotients, based upon the Titchmarsh convolution theorem: If f(t) and get) are continuous functions defined on [O, ~) such that the convolution f~ f(t-u)g(u)du =0, then either f(t) =0 or get) =0 must hold. The convolution quotients include the operator of differentiation "s" and related operators. Mikusinski's operational calculus gives a satisfactory basis of Heaviside's operational calculus; it can be applied successfully to linear ordinary differential equations with constant coefficients as well as to the telegraph equation which includes both the wave and heat equaƯ tions with constant coefficients

English [en] · PDF · 15.4MB · 1984 · 📘 Book (non-fiction) · 🚀/lgli/scihub/zlib · Save

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lgli/O:\new\kolx\91\M_Mathematics\MC_Calculus\MCde_Differential equations\Kuznetsov Yu.A. Elements of applied bifurcation theory (AMS112, 3ed., Springer, 2004)(ISBN 9781441919519)(600dpi)(T)(648s)_MCde_.djvu

Elements of Applied Bifurcation Theory (Applied Mathematical Sciences, 112) Kuznetsov Yu.A. Springer New York : Imprint : Springer, Applied mathematical sciences (Springer-Verlag New York Inc.), v. 112, 3rd ed, New York, ©2004

The years that have passed since the publication of the first edition of this book proved that the basic principles used to select and present the material made sense. The idea was to write a simple text that could serve as a seri ous introduction to the subject. Of course, the meaning of'simplicity'varies from person to person and from country to country. The word'introduction'contains even more ambiguity. To start reading this book, only a moder ate knowledge of linear algebra and calculus is required. Other preliminaries, qualified as'elementary'in modern mathematics, are explicitly formulated in the book. These include the Fredholm Alternative for linear systems and the multidimensional Implicit Function Theorem. Using these very limited tools, a framewo:k of notions, results, and methods is gradually built that allows one to read (and possibly write) scientific papers on bifurcations of nonlinear dynamical systems. Among other things, progress in the sciences means that mathematical results and methods that once were new become standard and routinely used by the research and development community. Hopefully, this edition of the book will contribute to this process. The book's structure has been kept intact. Most of the changes introduced reflect recent theoretical and software developments in which the author was involved. Important changes in the third edition can be summarized as follows. A new section devoted to the fold-flip bifurcation for maps has appeared in Chapter 9.

English [en] · DJVU · 6.0MB · 2004 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

nexusstc/Partial Differential Equations/2cfec55d7b568d9a8c7a8ab6317a1e2a.pdf

Partial Differential Equations (Applied Mathematical Sciences Vol. 1) Fritz John Springer Spektrum. in Springer-Verlag GmbH, Applied Mathematical Sciences (Book 1), 4, 1991

This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy’s example of a linear equation without solutions.

English [en] · PDF · 46.9MB · 1991 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

lgli/A:/compressed/10.1007%2F978-1-4614-4942-3.pdf

Inverse Acoustic and Electromagnetic Scattering Theory Applied Mathematical Sciences David Colton, Rainer Kress (auth.) Springer-Verlag New York, Applied Mathematical Sciences, Applied Mathematical Sciences 93, 3, 2013

The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earlier editions: “Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.” SIAM Review, September 1994 “This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.” Mathematical Intelligencer, June 1994

English [en] · PDF · 3.5MB · 2013 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save

lgli/D:\!genesis\library.nu\21\_37945.21d08a67518a9420e66e767675222eca.pdf

Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9) Kurt O. Friedrichs Springer-Verlag, Applied mathematical sciences (Springer-Verlag New York Inc.), v. 9, New York, 1973

The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation. Erscheinungsdatum: 01.01.1973

English [en] · PDF · 2.6MB · 1973 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save

ia/spectraltheoryof0000frie.pdf

Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9) Kurt O. Friedrichs New York : Springer-verlag, 1973. -, Springer Nature, New York, NY, 2012

The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation. Erscheinungsdatum: 01.01.1973

English [en] · PDF · 11.4MB · 2012 · 📗 Book (unknown) · 🚀/ia · Save

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lgli/D:\HDD4\!genesis\SPR_NEW_2013-12\bok%3A978-1-4612-4462-2.pdf

Fluid Dynamics of Viscoelastic Liquids (Applied Mathematical Sciences, 84) Daniel D. Joseph (auth.) Springer-Verlag New York, Applied Mathematical Sciences, Applied Mathematical Sciences 84, 1, 1990

This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.

English [en] · PDF · 27.7MB · 1990 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save

ia/cssmasteryadvanc0000budd.pdf

CSS mastery advanced web standards solutions. - Description based on print version record. - Includes index Simon Collison; Andy Budd; Cameron Moll Apress L. P., Springer Nature, [Berkeley, Calif.], 2009

Building on what made the first edition a bestseller, CSS Mastery: Advanced Web Standards Solutions, Second Edition unites the disparate information on CSS-based design spread throughout the internet into one definitive, modern guide. Revised to cover CSS3, the book can be read from front to back, with each chapter building on the previous one. However, it can also be used as a reference book, dipping into each chapter or technique to help solve specific problems. In short, this is the one book on CSS that you need to have. This second edition contains: <ul> <li>New examples and updated browser support information</li> <li>New case studies from Simon Collison and Cameron Moll</li> <li>CSS3 examples, showing new CSS3 features, and CSS3 equivalents to tried and tested CSS2 techniques</li> </ul> What you’ll learn <ul> <li>The best practice concepts in CSS design.</li> <li>The most important (and tricky) parts of CSS</li> <li>Identify and fix the most common CSS problems</li> <li>How to deal with the most common bugs</li> <li>Completely up to date browser support information</li> <li>Covers CSS3 as well as CSS2 showing you the future of CSS</li> </ul> Who this book is for This book is aimed towards intermediate web designers/developers, although the examples are simple enough for novice designers/developers with a basic understanding of CSS to grasp. The CSS 2/3 content of the book is delivered in a way that enables you to learn CSS2 techniques that you can implement now in professional work, and then gem up on CSS3 techniques to start looking towards the future. Table of Contents <ol> <li>Setting the Foundations</li> <li>Getting Your Styles to Hit the Target</li> <li>Visual Formatting Model Overview</li> <li>Using Backgrounds for Effect</li> <li>Styling Links</li> <li>Styling Lists and Creating Nav Bars</li> <li>Styling Forms and Data Tables</li> <li>Layout</li> <li>Bugs and Bug Fixing</li> <li>Case Study: Roma Italia</li> <li>Case Study: Climb the Mountains</li> </ol>

English [en] · PDF · 18.3MB · 2009 · 📗 Book (unknown) · 🚀/ia · Save

ia/nonlinearoscilla0042guck.pdf

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences (42)) John Guckenheimer, Philip Holmes, J. Guckenheimer, P. Holmes Springer-Verlag, Springer Nature, New York, NY, 1983

From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2 source: https://www.springer.com/gp/book/9780387908199

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lgli/M_Mathematics/MC_Calculus/MCde_Differential equations/Hale J. Theory of functional differential equations (AMS003,Springer,1977)(ISBN 0387902031)(600dpi)(T)(376s)_MCde_.djvu

Theory of Functional Differential Equations (Applied Mathematical Sciences, Vol 3) Jack K. Hale Springer-Verlag, Applied mathematical sciences ;, v. 3, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 3., 2d ed., New York, New York State, 1977

Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.

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lgli/978-1-4614-9593-2.epub

Linear Integral Equations (Applied Mathematical Sciences Book 82) Rainer Kress Springer New York, New York, NY, Applied Mathematical Sciences Book 82, 3, 2014

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, 2000) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract." (ZbMath, 1999)

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An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences) Kirsch, Andreas, 1953- New York: Springer, Applied mathematical sciences ;, v. 120, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 120., New York, New York State, 1996

This book introduces the reader to the area of inverse problems. A relatively new branch of Applied Mathematics, the study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed.

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Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences Book 152) Helge Holden, Nils Henrik Risebro, Nils H. Risebro Springer Berlin Heidelberg, Berlin, Heidelberg, Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2015

This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions, and the detailed solution of the Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews of the first edition: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations ... an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm

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Elementary Methods of Graph Ramsey Theory Yusheng Li, Qizhong Lin Springer International Publishing : Imprint: Springer, Applied Mathematical Sciences, Applied Mathematical Sciences, 211, 2022

This book is intended to provide graduate students and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents allow the text to be used in seminars. It is structured in thirteen chapters which are application-focused and largely independent, enabling readers to target specific topics and information to focus their study. The first chapter includes a true beginner's overview of elementary examples in graph Ramsey theory mainly using combinatorial methods. The following chapters progress through topics including the probabilistic methods, algebraic construction, regularity method, but that's not all. Many related interesting topics are also included in this book, such as the disproof for a conjecture of Borsuk on geometry, intersecting hypergraphs, Turán numbers and communication channels, etc.

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duxiu/initial_release/a_40352952.zip

Lectures in Pattern Theory, Volume II: Pattern Analysis Ulf Grenander Springer-verlag Berlin And Heidelberg Gmbh & Co. Kg, Applied Mathematical Sciences, 1978, 1976

Many persons have helped the author with comments and corrections, and I would like to mention D. E. McClure, I. Frolow, J. Silverstein, D. Town, and especially W. Freiberger for his helpful suggestions and encouragement. The work in Chapters 6 and 7 has been influenced and stimulated by discussions with other members of the Center for Neural Sciences, especially with L. Cooper and H. Kucera. I would like to thank F. John, J. P. LaSalle, L. Sirovich, and G. Whitham for accepting the manuscript for the series Applied Mathematical Sciences published by Springer-Verlag. This research project has been supported by the Division of Mathematical and Computer Sciences of the National Science Foundation and (the work on language abduction, pattern processors, and patterns in program behavior) by the Information Systems Program of the Office of Naval Research. I greatly appreciate the understanding and positive interest shown by John Pasta, Kent Curtiss, Bruce Barnes, Sally Sedelov vi PREFACE and Bob Agins of the Foundation, and by Marvin Denicoff of the Office of Naval Research. I am indebted to Mrs. E. Fonseca for her untiring and careful preparation of the manuscript, to Miss E. Addison for her skillful help with the many diagrams, and to S.V. Spinacci for the final typing. I gratefully acknowledge permission to reproduce figures, as mentioned in the text, from Cambridge University Press and from Hayden Book Company. Also, to Professor J. Carbury for permission to use his illustration on page 704. Erscheinungsdatum: 21.02.1978

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ia/bwb_P9-DRY-531.pdf

Manual of gynecologic surgery [edited] by Byron J. Masterson; Deanne McKeown, illustrator Springer-Verlag New York Inc., Comprehensive manuals of surgical specialties ; v. 4, New York, New York State, 1979

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Partial Differential Equations (Applied Mathematical Sciences Vol. 1) F. John (auth.) Springer International Publishing, Applied Mathematical Sciences 1, Softcover reprint of the original 2nd ed. 1975, 1975

Identifies significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. This book contains a chapter on Lewy's example of a linear equation without solutions.

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Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences (134)) Robert Vein; Paul Dale Springer US, Springer Nature, New York, 1999

The last treatise on the theory of determinants, by T. Muir, revised and enlarged by W. H. Metzler, was published by Dover Publications Inc. in 1960. It is an unabridged and corrected republication of the edition ori- nally published by Longman, Green and Co. in 1933 and contains a preface by Metzler dated 1928. The Table of Contents of this treatise is given in Appendix 13. A small number of other books devoted entirely to determinants have been published in English, but they contain little if anything of importance that was not known to Muir and Metzler. A few have appeared in German and Japanese. In contrast, the shelves of every mathematics library groan under the weight of books on linear algebra, some of which contain short chapters on determinants but usually only on those aspects of the subject which are applicable to the chapters on matrices. There appears to be tacit agreement among authorities on linear algebra that determinant theory is important only as a branch of matrix theory. In sections devoted entirely to the establishment of a determinantal relation, many authors de?ne a determinant by ?rst de?ning a matrixM and then adding the words: “Let detM be the determinant of the matrix M” as though determinants have no separate existence. This belief has no basis in history. Erscheinungsdatum: 20.11.1998

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Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory (Applied Mathematical Sciences Book 149) Kiyohiro Ikeda, Kazuo Murota Springer International Publishing : Imprint : Springer, Applied Mathematical Sciences, Applied Mathematical Sciences 149, 3rd ed. 2019, 2019

This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice. Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided. Review of First Edition: "The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. ... These are studied statistically. ... The book is an excellent source of practical applications for mathematicians working in this field. ... A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists." Henry W. Haslach, Jr., Mathematical Reviews, 2003

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Numerical Methods for Stochastic Partial Differential Equations with White Noise (Applied Mathematical Sciences Book 196) Zhongqiang Zhang,George Em Karniadakis (auth.) Springer International Publishing : Imprint: Springer, Applied Mathematical Sciences, Applied mathematical sciences (Springer-Verlag New York Inc.) 196, 2017

This Book Covers Numerical Methods For Stochastic Partial Differential Equations With White Noise Using The Framework Of Wong-zakai Approximation. The Book Begins With Some Motivational And Background Material In The Introductory Chapters And Is Divided Into Three Parts. Part I Covers Numerical Stochastic Ordinary Differential Equations. Here The Authors Start With Numerical Methods For Sdes With Delay Using The Wong-zakai Approximation And Finite Difference In Time. Part Ii Covers Temporal White Noise. Here The Authors Consider Spdes As Pdes Driven By White Noise, Where Discretization Of White Noise (brownian Motion) Leads To Pdes With Smooth Noise, Which Can Then Be Treated By Numerical Methods For Pdes. In This Part, Recursive Algorithms Based On Wiener Chaos Expansion And Stochastic Collocation Methods Are Presented For Linear Stochastic Advection-diffusion-reaction Equations. In Addition, Stochastic Euler Equations Are Exploited As An Application Of Stochastic Collocation Methods, Where A Numerical Comparison With Other Integration Methods In Random Space Is Made. Part Iii Covers Spatial White Noise. Here The Authors Discuss Numerical Methods For Non-linear Elliptic Equations As Well As Other Equations With Additive Noise. Numerical Methods For Spdes With Multiplicative Noise Are Also Discussed Using The Wiener Chaos Expansion Method. In Addition, Some Spdes Driven By Non-gaussian White Noise Are Discussed And Some Model Reduction Methods (based On Wick-malliavin Calculus) Are Presented For Generalized Polynomial Chaos Expansion Methods. Powerful Techniques Are Provided For Solving Stochastic Partial Differential Equations. This Book Can Be Considered As Self-contained. Necessary Background Knowledge Is Presented In The Appendices. Basic Knowledge Of Probability Theory And Stochastic Calculus Is Presented In Appendix A. In Appendix B Some Semi-analytical Methods For Spdes Are Presented. In Appendix C An Introduction To Gauss Quadrature Is Provided. In Appendix D, All The Conclusions Which Are Needed For Proofs Are Presented, And In Appendix E A Method To Compute The Convergence Rate Empirically Is Included. In Addition, The Authors Provide A Thorough Review Of The Topics, Both Theoretical And Computational Exercises In The Book With Practical Discussion Of The Effectiveness Of The Methods. Supporting Matlab Files Are Made Available To Help Illustrate Some Of The Concepts Further. Bibliographic Notes Are Included At The End Of Each Chapter. This Book Serves As A Reference For Graduate Students And Researchers In The Mathematical Sciences Who Would Like To Understand State-of-the-art Numerical Methods For Stochastic Partial Differential Equations With White Noise. Preface; Contents; 1 Prologue; 1.1 Why Random And Brownian Motion (white Noise)?; What Colour Is The Noise?; Solutions To (1.1.2); 1.2 Modelling With Spdes; 1.3 Specific Topics Of This Book; 2 Brownian Motion And Stochastic Calculus; 2.1 Gaussian Processes And Their Representations; 2.2 Brownian Motion And White Noise; 2.2.1 Some Properties Of Brownian Motion; Regularity Of Brownian Motion; 2.2.2 Approximation Of Brownian Motion; 2.3 Brownian Motion And Stochastic Calculus; 2.4 Stochastic Chain Rule: Ito Formula; 2.5 Integration Methods In Random Space; 2.5.1 Monte Carlo Method And Its Variants Multilevel Monte Carlo Method; 2.5.2 Quasi-monte Carlo Methods; 2.5.3 Wiener Chaos Expansion Method; 2.5.4 Stochastic Collocation Method ; Smolyak's Sparse Grid; 2.5.5 Application To Sodes; 2.6 Bibliographic Notes; 2.7 Suggested Practice; 3 Numerical Methods For Stochastic Differential Equations; 3.1 Basic Aspects Of Sodes; 3.1.1 Existence And Uniqueness Of Strong Solutions; 3.1.2 Solution Methods; The Integrating Factor Method; Moment Equations Of Solutions; 3.2 Numerical Methods For Sodes; 3.2.1 Derivation Of Numerical Methods Based On Numerical Integration; 3.2.2 Strong Convergence 3.2.3 Weak Convergence; 3.2.4 Linear Stability; 3.2.5 Summary Of Numerical Sodes; 3.3 Basic Aspects Of Spdes; 3.3.1 Functional Spaces; 3.3.2 Solutions In Different Senses; 3.3.3 Solutions To Spdes In Explicit Form; 3.3.4 Linear Stochastic Advection-diffusion-reaction Equations; 3.3.5 Existence And Uniqueness; 3.3.6 Conversion Between Ito And Stratonovich Formulation; 3.4 Numerical Methods For Spdes; 3.4.1 Direct Semi-discretization Methods For Parabolic Spdes; Second-order Equations; Fourth-order Equations; 3.4.2 Wong-zakai Approximation For Parabolic Spdes 3.4.3 Preprocessing Methods For Parabolic Spdes; Splitting Methods; Integrating Factor (exponential Integrator) Techniques; 3.4.4 What Could Go Wrong? Examples Of Stochastic Burgers And Navier-stokes Equations; 3.4.5 Stability And Convergence Of Existing Numerical Methods; Weak Convergence; Pathwise Convergence; Stability; 3.4.6 Summary Of Numerical Spdes; 3.5 Summary And Bibliographic Notes; 3.6 Suggested Practice; Part I Numerical Stochastic Ordinary Differential Equations; 4 Numerical Schemes For Sdes With Time-delay Using The Wong-zakai Approximation; 4.1 Wong-zakai Approximation For Sodes 4.1.1 Wong-zakai Approximation For Sddes; 4.2 Derivation Of Numerical Schemes; 4.2.1 A Predictor-corrector Scheme; 4.2.2 The Mid-point Scheme; 4.2.3 A Milstein-like Scheme; 4.3 Linear Stability Of Some Schemes; Stability Region Of The Forward Euler Scheme; Stability Analysis Of The Predictor-corrector Scheme; Stability Analysis Of The Mid-point Scheme; 4.4 Numerical Results; 4.5 Summary And Bibliographic Notes; 4.6 Suggested Practice; 5 Balanced Numerical Schemes For Sdes With Non-lipschitz Coefficients; 5.1 A Motivating Example; 5.2 Fundamental Theorem; 5.2.1 On Application Of Theorem 5.2.3. Zhongqiang Zhang, George Em Karniadakis. Includes Bibliographical References (pages 359-390) And Index.

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nexusstc/Interfacial Convection in Multilayer Systems/a1872ff963b910aeff16d7f1f5fe4ecd.pdf

Interfacial Convection in Multilayer Systems (Applied Mathematical Sciences Book 179) A. Nepomnyashchy, I. Simanovskii, J.C. Legros (auth.) Springer-Verlag New York, LLC, Applied Mathematical Sciences, Applied Mathematical Sciences 179, 2, 2012

This book gives a systematic investigation of convection in systems comprised of liquid layers with deformatable interfaces. This new edition includes completely updated and new material on flows in ultra thin films and brings up to date progress made in the technology on micro and nano scales. Also, this revised edition will reflect progress in the dynamics of complex fluids.

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Nonlinear Theory of Shallow Shells (Applied Mathematical Sciences (133)) Iosif I. Vorovich; Leonid P. Lebedev Springer US, Springer Nature, New York, 1999

This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis. Erscheinungsdatum: 04.12.1998

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lgli/P_Physics/PT_Thermodynamics, statistical physics/Ericksen J.L. Introduction to the thermodynamics of solids (Rev.Ed., Springer, 1998)(ISBN 0387983643)(600dpi)(S)(T)(203s)_PT_.djvu

Introduction to the Thermodynamics of Solids, Revised Edition (Applied Mathematical Sciences) Ericksen J.L. Springer, Applied mathematical sciences ;, v. 131, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 131., Rev. ed., New York, New York State, 1998

Bridging a gap in the literature, Professor Ericksen has drawn on his experience in research on solids to devise a series of lectures for graduates that introduce and illustrate uses of various important ideas with analysis which can be done using elementary mathematics. Simple strategies are discussed for thermoelastic bars and an ideal gas-solid mixture. Illustrative examples of thermodynamic stability theory include rudimentary analysis of cold-drawing in polymers, martensitic transformations in plates, instabilities in rubber balloons and sheets, peeling tapes, breaking bars, buckling of beams and instabilities produced by electromagnetic fields in liquid crystals. Non-equilibrium theory is illustrated by head conduction in rigid and deformable bars, including a fairly common way of using the Clausius-Duhem inequality to obtain thermodynamic restrictions on constitutive equations. Also covered is some elementary one-dimensional theory of shock waves and slower-moving phase boundaries. Finally, drawing on all these experiences, the last chapter treats general ideas in a more abstract way.

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nexusstc/Topology, Geometry and Gauge fields: Interactions/60b7c9775ea845bc71beb95858dc3f61.pdf

Topology, Geometry and Gauge fields: Interactions (Applied Mathematical Sciences Book 141) Gregory L. Naber (auth.) Springer-Verlag New York, Applied Mathematical Sciences, Applied Mathematical Sciences 141, 2, 2011

This Volume Is Intended To Carry On The Program, Initiated In Topology, Geometry, And Gauge Fields: Foundations (springer, 2010), Of Exploring The Interrelations Between Particle Physics And Topology That Arise From Their Shared Notion Of A Gauge Field. The Text Begins With A Synopsis Of The Geometrical Background Assumed Of The Reader (manifolds, Lie Groups, Bundles, Connections, Etc.). There Follows A Lengthy, And Somewhat Informal Discussion Of A Number Of The Most Basic Of The Classical Gauge Theories Arising In Physics, Including Classical Electromagnetic Theory And Dirac Monopoles, The Klein-gordon And Dirac Equations And Su(2) Yang-mills-higgs Theory. The Real Purpose Here Is To Witness Such Things As Spacetime Manifolds, Spinor Structures, De Rham Cohomology, And Chern Classes Arise Of Their Own Accord In Meaningful Physics. All Of These Are Then Developed Rigorously In The Remaining Chapters.^ With The Precise Definitions In Hand, One Can, For Example, Fully Identify Magnetic Charge And Instanton Number With The Chern Numbers Of The Bundles On Which The Charge And Instanton Live, And Uncover The Obstruction To The Existence Of A Spinor Structure In The Form Of The Second Stiefel-whitney Class. This Second Edition Of The Book Includes, In An Appendix, A Much Expanded Sketch Of Seiberg-witten Gauge Theory, Including A Brief Discussion Of Its Origins In Physics And Its Implications For Topology. To Provide The Reader With The Opportunity To Pause En Route And Join In The Fun, There Are 228 Exercises, Each An Integral Part Of The Development And Each Located At Precisely The Point At Which It Can Be Solved With Optimal Benefit.^ Reviews Of First Edition: “naber’s Goal Is Not To Teach A Sterile Course On Geometry And Topology, But Rather To Enable Us To See The Subject In Action, Through Gauge Theory.” (siam Review) “the Presentation … Is Enriched By Detailed Discussions About The Physical Interpretations Of Connections, Their Curvatures And Characteristic Classes. I Particularly Enjoyed Chapter 2 Where Many Fundamental Physical Examples Are Discussed At Great Length In A Reader Friendly Fashion. No Detail Is Left To The Reader’s Imagination Or Interpretation. I Am Not Aware Of Another Source Where These Very Important Examples And Ideas Are Presented At A Level Accessible To Beginners.” (mathematical Reviews) Preface -- Acknowledgements -- Geometrical Background -- Physical Motivation -- Frame Bundles And Spacetime -- Differential Forms And Integration Introduction -- De Rham Cohomology Introduction -- Characteristic Classes -- Appendix -- References -- Symbols -- Index. Gregory L. Naber. Includes Bibliographical References And Index.

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Numerical Approximation of Hyperbolic Systems of Conservation Laws (Applied Mathematical Sciences, 118) Edwige Godlewski, Pierre-Arnaud Raviart Springer New York : Imprint: Springer, Applied Mathematical Sciences, Applied Mathematical Sciences, 118, 2, 2021

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation. Erscheinungsdatum: 29.08.2021

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[Applied Mathematical Sciences] Applications of Symmetry Methods to Partial Differential Equations Volume 168 || George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco (auth.) Springer New York : Imprint : Springer, 10.1007/97, 2010

This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether's theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. This book is a sequel to Symmetry and Integration Methods for Differential Equations (2002) by George W. Bluman and Stephen C. Anco. The emphasis in the present book is on how to find systematically symmetries (local and nonlocal) and conservation laws (local and nonlocal) of a given PDE system and how to use systematically symmetries and conservation laws for related applications

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Stability and Wave Motion in Porous Media (Applied Mathematical Sciences (165)) Brian Straughan Springer New York, Springer Nature, New York, 2008

This book presents an account of theories of ?ow in porous media which have proved tractable to analysis and computation. In particular, the t- ories of Darcy, Brinkman, and Forchheimer are presented and analysed in detail. In addition, we study the theory of voids in an elastic material due to J. Nunziato and S. Cowin. The range of validity of each theory is outlined and the mathematical properties are considered. The questions of structural stability, where the stability of the model itself is under cons- eration, and spatial stability are investigated. We believe this is the ?rst such account of these topics in book form. Throughout, we include several new results not published elsewhere. Temporal stability studies of a variety of problems are included, indic- ingpracticalapplicationsofeach.Bothlinearinstabilityanalysisandglobal nonlinear stability thresholds are presented where possible. The mundane, importantproblemofstabilityof?owinasituationwhereaporousmedium adjoins a clear ?uid is also investigated in some detail. In particular, the chapter dealing with this problem contains some new material only p- lished here. Since stability properties inevitably end up requiring to solve a multi-parameter eigenvalue problem by computational means, a separate chapter is devoted to this topic. Contemporary methods for solving such eigenvalue problems are presented in some detail. Erscheinungsdatum: 12.08.2008

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