SUMMARY: Interior designer and ambassador's daughter Paige Favreau has never been what you'd call reckless, wild, or even mildly daring. Always the good girl, now Paige finally has something to divulge at the club's regular dinnertime dishing--Zach Reed. Zach: a hot guitar player whose every sensual word and movement are just the things Paige has stayed away from her entire life. But this time she can't. With only each other on the menu, Paige and Zach may never get enough!

Volume 1 of Collected Papers of G. H. Hardy, including joint papers with J. E. Littlewood and others, edited by a committee appointed by the London Mathematical Society.This volume includes papers about:1. Diophantine approximation.2. Additive number theory. (a) Combinatory analysis and sums of squares, (b) Waring's Problem, (c) Goldbach's Problem, (d) Inaugural Lecture (Oxford, 1920).

Before the year 1923 the literature dealing with generalizedhypergeometric series was somewhat scattered, but in that yearProfessor G. H. Hardy published his paper ''A chapter from Ra-manujan's note-book" in which he gave an account and proofs ofthe results then known, most of which had been rediscovered byRamanujan. Since then numerous papers have been written onthe subject, and it seems desirable that the mass of special results,obtained by one method or another, should be collected together.This is the primary object of this tract.No attempt has been made to give a complete account of theordinary hypergeometric series. In fact the first chapter simplygives the minimum required for the succeeding chapters. Again,all parts of the subject, such as asymptotic expansions, whichdefinitely belong to function theory, have been deliberatelyignored.Although the main part of the work deals with generalizedhypergeometric series, there are also short accounts of Heine'sbasic hypergeometric series and Appell's hypergeometric func-tions of two variables ..My thanks are due to Professor G. H. Hardy who made valuablesuggestions regarding the general plan of the work, and toProfessor L. J. Mordell who suggested the desirability of a tracton this subject.

Volume 7 of Collected Papers of G. H. Hardy, including joint papers with J. E. Littlewood and others, edited by a committee appointed by the London Mathematical Society.This volume includes papers about:1. Integral equations and integral transforms.2. Miscellaneous papers.3. Questions from the Educational Times4. Obituary notices by G. H. Hardy5. Book reviews by G. H. Hardy6. List of other writings7. Obituary notices of G. H. Hardy and other writings concerning his life and work

Preface Acknowledgements Editorial Note Contents of Volume I Godfrey Harold Hardy, by E. C. TITCHMARSH 1. DIOPHANTINE APPROXIMATION Introduction 1912, 4 (with J. E. Littlewood). Some problems of Diophantine approximation. Proceedings of the 5th International Congress of Mathematicians, Cambridge, 1912, i. 223-9. Published 1913. 1914, 2 (with J.E. Littlewood). Some problems of Diophantine approximation. I. The fractional part of n^k θ. Acta Mathematica, 37, 155-91. 1914, 3 (with J.E. Littlewood). Some problems of Diophantine approximation. II. The trigonometrical series associated with the elliptic θ-functions. Acta Mathematica, 37, 193-238. 1916, 3 (with J.E. Littlewood). Some problems of Diophantine approximation: A remarkable trigonometrical series. Proceedings of the National Academy of Sciences, 2, 583-6. 1916, 9 (with J.E. Littlewood). Some problems of Diophantine approximation: The series ∑ e(λ_n) and the distribution of the points (λ_n α). Proceedings of the National Academy of Sciences, 3, 84-88. Published 1917. 1919, 4. A problem of Diophantine approximation. Journal of the Indian Mathematical Society, 11, 162-6. 1922, 5 (with J.E. Littlewood). Some problems of Diophantine approximation: A further note on the trigonometrical series associated with the elliptic thetafunctions. Proceedings of the Cambridge Philosophical Society, 21, 1-5. 1922, 6 (with J.E. Littlewood). Some problems of Diophantine approximation: The lattice-points of a right-angled triangle. Proceedings of the London Mathematieal Society, (2) 20, 15-36. 1922, 9 (with J.E. Littlewood). Some problems of Diophantine approximation: The lattice-points of a right-angled triangle. (Second memoir.) Abhandlungen aus dem Mathematischen Seminar der Hamburgischen Universität, 1, 212-49. Published 1921. 1923, 3 (with J.E. Littlewood). Some problems of Diophantine approximation: The analytic character of the sum of a Dirichlet's series considered by Hecke. Abhandlungen aus dem Mathernatischen Seminar der Hamburgischen Universität, 3, 57-68. 1923, 4 (with J.E. Littlewood). Some problems of Diophantine approximation: The analytic properties of certain Dirichlet's series associated with the distribution of numbers to modulus unity. Transactions of the Cambridge Philosophical Society, 22, 519- 33. 1925, 4 (with J.E. Littlewood). Some problems of Diophantine approximation: An additional note on the trigonometrical series associated with the elliptic theta-functions. Acta Mathematica, 47, 189-98. Published 1926. 1930, 3 (with J. E. Littlewood). Some problems of Diophantine approximation: A series of cosecants. Bulletin of the Calcatta Mathematical Society, 20, 251-66. 1946, 1 (with J. E. Littlewood). Notes on the theory of series (XXIV): A curious power series. Proceedings of the Cambridge Philosophical Society, 42, 85-90. 2. ADDITIVE NUMBER THEORY (a) Combinatory analysis and sums of squares Introduction 1916, 10. Asymptotic formulae in combinatory analysis. Quatrième Congrès des Mathématiciens Scandinaves, Stockholm, 1916, 45-53. Published 1920. 1917, 1 (with S. Ramanujan). Une formule asymptotique pour le nombre des partitions de n. Comptes Rendus, 164, 35-38. 1917, 4 (with S. Ramanujan). Asymptotic formulae for the distribution of integers of various types. Proceedings of the London Mathematical Society, (2) 16, 112-32. 1918, 2 (with S. Ramanujan). On the coefficients in the expansions of certain modular functions. Proceedings of the Royal Society, A, 95, 144-55. 1918, 5 (with S. Ramanujan). Asymptotic formulae in combinatory analysis. Proceedings of the London Mathematical Society, (2) 17, 75-115. 1918, 10. On the representation of a number as the sum of any number of squares, and in particular of five or seven. Proceedings of the National Academy of Sciences, 4, 189-93. 1920, 10. On the representation of a number as the sum of any number of squares, and in particular of five. Transactions of the American Mathematical Society, 21, 255-84. (b) Waring's Problem Introduction 1920, 2 (with J. E. Littlewood). A new solution of Waring's Problem. Quarterly Journal of Mathematics, 4B, 272-93. 1920, 5 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': I. A new solution of Waring's Problem. Nachrichten von der K. Gesellschaft der Wissenschaften zu Göttingen, Math. -phys. Klasse, 1920, 33-54. 1921, 1 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': II. Proof that every large number is the sum of at most 21 biquadrates. Mathematische Zeitschrift, 9, 14-27. Published 1920. 1922, 4 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': IV. The singular series in Waring's Problem and the value of the number G(k). Mathematische Zeitschrift, 12, 161-88. 1925, 1 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': VI. Further researches in Waring's Problem. Mathematische Zeitschrift, 23, 1-37. 1928, 4 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': VIII. The number Γ(k) in Waring's Problem. Proceedings of the London Mathematical Society, (2) 28, 518-42. (c) Goldbach's Problem Introduction 1919, 1 (with J. E. Littlewood). Note on Messrs. Shah and Wilson's paper entitled: 'On an empirical formula connected with Goldbach's Theorem'. Proceedings of the Cambridge Philosophical Society, 19, 245-54. 1922, 1. Goldbach's Theorem. Matematisk Tidsskrift B, 1922, 1-16. 1922, 3 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': III. On the expression of a number as a sum of primes. Acta Mathematica, 44, 1-70. 1922, 8 (with J. E. Littlewood). Summation of a certain multiple series. Proceedings of the London Mathematical Society, (2) 20, xxx. Published 1921. 1924, 6 (with J. E. Littlewood). Some problems of 'Partitio Numerorum': V. A further contribution to the study of Goldbach's Problem. Proceedings of the London Mathematical Society, (2) 22, 46-56. Published 1923. (d) Inaugural Lecture (Oxford 1920) 1920, 11. Some famous problems of the Theory of Numbers and in particular Waring's Problem. Arrangement of the Volumes. Complete list of Hardy's mathematical papers.

G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician … the purest of the pure'. He was also (as C. P. Snow recounts in his Foreword to the 1967 edition) 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

v. : "Complete list of Hardy's mathematical papers": v. 1, p. 683-699; v. 3, p. 731-747 Includes bibliographical references

v. : "Complete list of Hardy's mathematical papers": v. 1, p. 683-699; v. 3, p. 731-747 Includes bibliographical references

v. : "Complete list of Hardy's mathematical papers": v. 1, p. 683-699; v. 3, p. 731-747 Includes bibliographical references

355 p. 24 cm

77 p

236 p. 24 cm Bibliography: p. [231]-236

<p><p><b>an Introduction To The Theory Of Numbers</b> By G. H. Hardy And E. M. Wright Is Found On The Reading List Of Virtually All Elementary Number Theory Courses And Is Widely Regarded As The Primary And Classic Text In Elementary Number Theory. Developed Under The Guidance Of D. R. Heath-brown, This Sixth Edition Of <b>an Introduction To The Theory Of Numbers</b> Has Been Extensively Revised And Updated To Guide Today's Students Through The Key Milestones And Developments In Number Theory.<p>updates Include A Chapter By J. H. Silverman On One Of The Most Important Developments In Number Theory &#151; Modular Elliptic Curves And Their Role In The Proof Of Fermat's Last Theorem &#151; A Foreword By A. Wiles, And Comprehensively Updated End-of-chapter Notes Detailing The Key Developments In Number Theory. Suggestions For Further Reading Are Also Included For The More Avid Reader.<p>the Text Retains The Style And Clarity Of Previous Editions Making It Highly Suitable For Undergraduates In Mathematics From The First Year Upwards As Well As An Essential Reference For All Number Theorists.</p>

vi, [2], 78 p. 22 cm Bibliography: p. viii

SUMMARY: Thea Mitchell has everything--almost. On the dance floor the gorgeous model-turned-dance-instructor abandons herself to the sensuous throb of the tango and...her imagination. But reality's a different matter. A disastrous affair has left her with cold feet in the bedroom and no juicy tidbits about her love life to serve up to her worried Supper Club friends. Until Brady McMillan tempts her to believe that the perfect partner really does exist...and proves that his moves--on and off the dance floor--are as hot as she can handle!

xvi, 396 p. ; 25 cm Includes bibliography

Cover......Page 1 Cambridge University Press, 1934......Page 2 Preface......Page 6 Contents......Page 8 1.1. Finite, infinite, and integral inequalities......Page 14 1.3. Positive inequalities......Page 15 1.4. Homogeneous inequalities......Page 16 1.5. The axiomatic basis of algebraic inequalities......Page 17 1.6. Comparable functions......Page 18 1.7. Selection of proofs......Page 19 1.8. Selection of subjects......Page 21 2.1. Ordinary means......Page 25 2.2. Weighted means......Page 26 2.3. Limiting cases of R_r(a)......Page 27 2.5. The theorem of the arithmetic and geometric means......Page 29 2.6. Other proofs of the theorem of the means......Page 31 2.7. Holder's inequality and its extensions......Page 34 2.8. Holder's inequality and its extensions (continued)......Page 37 2.9. General properties of the means R_r(a)......Page 39 2.10. The sums S_r(a)......Page 41 2.11. Minkowski's inequality......Page 43 2.13. Illustrations and applications of the fundamental inequalities......Page 45 2.14. Inductive proofs of the fundamental inequalities......Page 50 2.15. Elementary inequalities connected with Theorem 37......Page 52 2.16. Elementary proof of Theorem 3......Page 55 2.17. Tchebychef's inequality......Page 56 2.18. Muirhead's theorem......Page 57 2.19. Proof of Muirhead's theorem......Page 59 2.21. Further theorems on symmetrical means......Page 62 2.22. The elementary symmetric functions of n positive numbers......Page 64 2.23. A note on definite forms......Page 68 2.24. A theorem concerning strictly positive forms......Page 70 Miscellaneous theorems and examples......Page 73 3.1. Definitions......Page 78 3.2. Equivalent means......Page 79 3.3. A characteristic property of the means R_r......Page 81 3.4. Comparability......Page 82 3.5. Convex functions......Page 83 3.6. Continuous convex functions......Page 84 3.7. An alternative definition......Page 86 3.8. Equality in the fundamental inequalities......Page 87 3.9. Restatements and extensions of Theorem 85......Page 88 3.10. Twice differentiable convex functions......Page 89 3.11. Applications of the properties of twice differentiable convex functions......Page 90 3.12. Convex functions of several variables......Page 91 3.13. Generalisations of Holder's inequality......Page 94 3.14. Some theorems concerning monotonic functions......Page 96 3.15. Sums with an arbitrary function: generalisationsof Jensen's inequality......Page 97 3.16. Generalisations of Minkowski's inequality......Page 98 3.17. Comparison of sets......Page 101 3.18. Further general properties of convex functions......Page 104 3.19. Further properties of continuous convex functions......Page 107 3.20. Discontinuous convex functions......Page 109 Miscellaneous theorems and examples......Page 110 4.2. Applications of the mean value theorem......Page 115 4.3. Further applications of elementary differentialcalculus......Page 117 4.4. Maxima and minima of functions of one variable......Page 119 4.5. Use of Taylor's series......Page 120 4.6. Applicationsofthe theory of maxima and minima offunctions of several variables......Page 121 4.7. Comparison of series and integrals......Page 123 4.8. An inequality of Young......Page 124 5.1. Introduction......Page 127 5.2. The means R_r......Page 129 5.3. The generalisation of Theorems 3 and 9......Page 131 5.4. Holder's inequality and its extensions......Page 132 5.5. The means R_r (continued)......Page 134 5.6. The sums S_r......Page 135 5.9. A summary......Page 136 Miscellaneous theorems and examples......Page 137 6.1. Preliminary remarks on Lebesgue integrals......Page 139 6.2. Remarks on nul sets and nul functions......Page 141 6.3. Further remarks concerning integration......Page 142 6.4. Remarks on methods of proo......Page 144 6.5. Further remarks on method: the inequality ofSchwarz......Page 145 6.6. Definition of the means R_r(f) when r \ne 0......Page 147 6.7. The geometric mean of a function......Page 149 6.9. Holder's inequality for integrals......Page 152 6.10. General properties of the means R_r(f)......Page 156 6.11. General properties of the means R_r(f) (continued)......Page 157 6.12. Convexity of log R_r^r......Page 158 6.13. Minkowski's inequality for integrals......Page 159 6.14. Mean values depending on an arbitrary function......Page 163 6.15. The definition of the Stieltjes integral......Page 165 6.16. Special cases of the Stieltjes integral......Page 167 6.17. Extensions of earlier theorems......Page 168 6.18. The means R_r(f;phi)......Page 169 6.19. Distribution functions......Page 170 6.20. Characterisation of mean values......Page 171 6.21. Remarks on the characteristic properties......Page 173 6.22. Completion of the proof of Theorem 215......Page 174 Miscellaneous theorems and examples......Page 176 7.1. Some general remarks......Page 185 7.2. Object of the present chapter......Page 187 7.3. Example of an inequality corresponding to anunattained extremum......Page 188 7.4. First proof of Theorem 254......Page 189 7.5. Second proof of Theorem 254......Page 191 7.6. Further examples illustrative of variational methods......Page 195 7.7. Further examples: Wirtinger's inequality......Page 197 7.8. An example involving second derivatives......Page 200 Miscellaneous theorems and examples......Page 206 8.2. An inequality for multilinear forms with positive variables and coefficients......Page 209 8.3. A theorem of W. H. Young......Page 211 8.4. Generalisations and analogues......Page 213 8.5. Applications to Fourier series......Page 215 8.6. The convexity theorem for positive multilinear forms......Page 216 8.7. General bilinear forms......Page 217 8.8. Definition of a bounded bilinear form......Page 219 8.9. Some properties of bounded forms in [p, q]......Page 221 8.10. The Faltung of two forms in [p, p']......Page 223 8.11. Some special theorems on forms in [2, 2]......Page 224 8.12. Application to Hilbert's forms......Page 225 8.13. The convexity theorem for bilinear forms with complex variables and coefficients......Page 227 8.14. Further properties of a maximal set (x, y)......Page 229 8.15. Proof of Theorem 295......Page 230 8.16. Applications of the theorem of M. Riesz......Page 232 8.17. Applications to Fourier series......Page 233 Miscellaneous theorems and examples......Page 235 9.1. Hilbert's double series theorem......Page 239 9.2. A general class of bilinear forms......Page 240 9.3. The corresponding theorem for integrals......Page 242 9.4. Extensions of Theorems 318 and 319......Page 244 9.5. Best possible constants: proof of Theorem 317......Page 245 9.6. Further remarks on Hilbert's theorems......Page 247 9.7. Applications of Hilbert's theorems......Page 249 9.8. Hardy's inequality......Page 252 9.9. Further integral inequalities......Page 256 9.10. Further theorems concerning series......Page 259 9.11. Deduction of theorems on series from theorems on integrals......Page 260 9.12. Carleman's inequality......Page 262 9.13. Theorems with 0 <p < 1......Page 263 9.14. A theorem with two parameters p and q......Page 266 Miscellaneous theorems and examples......Page 267 10.1. Rearrangements of finite sets of variables......Page 273 10.2. A theorem concerning the rearrangements of two sets......Page 274 10.3. A second proof of Theorem 368......Page 275 10.4. Restatement of Theorem 368......Page 277 10.5. Theorems concerning the rearrangements of three sets......Page 278 10.6. Reduction of Theorem 373 to a special case......Page 279 10.7. Completion of the proof......Page 281 10.8. Another proof of Theorem 371......Page 283 10.9. Rearrangements of any number of sets......Page 285 10.10. A further theorem on the rearrangement of any number of sets......Page 287 10.12. The rearrangement of a function......Page 289 10.13. On the rearrangement of two functions......Page 291 10.14. On the rearrangement of three functions......Page 292 10.15. Completion of the proof of Theorem 379......Page 294 10.16. An alternative proof......Page 298 10.17. Applications......Page 301 10.18. Another theorem concerning the rearrangementof a function in decreasing order......Page 304 10.19. Proof of Theorem 384......Page 305 Miscellaneous theorems and examples......Page 308 Bibliography......Page 313

1 (p1): I.THE SERIES OF PRIMES(1) 1 (p1-1): 1.1.Divisibility of integers 1 (p1-2): 1.2.Prime numbers 3 (p1-3): 1.3.Statement of the fundamental theorem of arithmetic 3 (p1-4): 1.4.The sequence of primes 5 (p1-5): 1.5.Some questions concerning primes 7 (p1-6): 1.6.Some notations 8 (p1-7): 1.7.The logarithmic function 9 (p1-8): 1.8.Statement of the prime number theorem 12 (p2): II.THE SERIES OF PRIMES(2) 12 (p2-1): 2.1.First proof of Euclid’s second theorem 12 (p2-2): 2.2.Further deductions from Euclid’s argument 13 (p2-3): 2.3.Primes in certain arithmetical progressions 14 (p2-4): 2.4.Second proof of Euclid’s theorem 14 (p2-5): 2.5.Fermat’s and Mersenne’s numbers 16 (p2-6): 2.6.Third proof of Euclid’s theorem 17 (p2-7): 2.7.Further remarks on formulae for primes 19 (p2-8): 2.8.Unsolved problems concerning primes 19 (p2-9): 2.9.Moduli of integers 21 (p2-10): 2.10.Proof of the fundamental theorem of arithmetic 21 (p2-11): 2.11.Another proof of the fundamental theorem 23 (p3): III.FAREY SERIES AND A THEOREM OF MINKOWSKI 23 (p3-1): 3.1.The definition and simplest properties of a Farey series 24 (p3-2): 3.2.The equivalence of the two characteristic properties 24 (p3-3): 3.3.First proof of Theorems 28 and 29 25 (p3-4): 3.4.Second proof of the theorems 26 (p3-5): 3.5.The integral lattice 27 (p3-6): 3.6.Some simple properties of the fundamental lattice 29 (p3-7): 3.7.Third proof of Theorems 28 and 29 29 (p3-8): 3.8.The Farey dissection of the continuum 31 (p3-9): 3.9.A theorem of Minkowski 32 (p3-10): 3.10.Proof of Minkowski’s theorem 34 (p3-11): 3.11.Developments of Theorem 37 38 (p4): IV.IRRATIONAL NUMBERS 38 (p4-1): 4.1.Some generalities 38 (p4-2): 4.2.Numbers known to be irrational 39 (p4-3): 4.3.The theorem of Pythagoras and its generalizations 41 (p4-4): 4.4.The use of the fundamental theorem in the proofs of Theorems 43-45...

1 (p1): I. THE SERIES OF PRIMES(1) 1 (p1-1): 1.1. Divisibility of integers 2 (p1-2): 1.2. Prime numbers 3 (p1-3): 1.3. Statement of the fundamental theorem of arithmetic 4 (p1-4): 1.4. The sequence of primes 6 (p1-5): 1.5. Some questions concerning primes 7 (p1-6): 1.6. Some notations 9 (p1-7): 1.7. The logarithmic function 10 (p1-8): 1.8. Statement of the prime number theorem 14 (p2): II. THE SERIES OF PRIMES(2) 14 (p2-1): 2.1. First proof of Euclid,s second theorem 14 (p2-2): 2.2. Further deductions from Euclid,s argument 15 (p2-3): 2.3. Primes in certain arithmetical progressions 17 (p2-4): 2.4. Second proof of Euclid,s theorem 18 (p2-5): 2.5. Fermat,s and Mersenne,s numbers 20 (p2-6): 2.6. Third proof of Euclid,s theorem 21 (p2-7): 2.7. Further results on formulae for primes 23 (p2-8): 2.8. Unsolved problems concerning primes 23 (p2-9): 2.9. Moduli of integers 25 (p2-10): 2.10. Proof of the fundamental theorem of arithmetic 26 (p2-11): 2.11. Another proof of the fundamental theorem 28 (p3): III. FAREY SERIES AND A THEOREM OF MINKOWSKI 28 (p3-1): 3.1. The definition and simplest properties of a Farey series 29 (p3-2): 3.2. The equivalence of the two characteristic properties 30 (p3-3): 3.3. First proof of Theorems 28 and 29 31 (p3-4): 3.4. Second proof of the theorems 32 (p3-5): 3.5. The integral lattice 33 (p3-6): 3.6. Some simple properties of the fundamental lattice 35 (p3-7): 3.7. Third proof of Theorems 28 and 29 36 (p3-8): 3.8. The Farey dissection of the continuum 37 (p3-9): 3.9. A theorem of Minkowski 39 (p3-10): 3.10. Proof of Minkowski,s theorem 40 (p3-11): 3.11. Developments of Theorem 37 45 (p4): IV. IRRATIONAL NUMBERS 45 (p4-1): 4.1. Some generalities 46 (p4-2): 4.2. Numbers known to be irrational 47 (p4-3): 4.3. The theorem of Pythagoras and its generalizations 49 (p4-4): 4.4. The use of the fundamental...

Volume 6 of Collected Papers of G. H. Hardy, including joint papers with J. E. Littlewood and others, edited by a committee appointed by the London Mathematical Society.This volume includes papers about:Theory of series

100 p

When a gang of twentysomething women get together, men are always on the menu! A makeover. A masked stranger. A master suite. When Trish Dawson's new look attracts the attention of a fellow costume-party guest, she decides to cut loose and go for it. When his mask comes off, not to mention his clothes, hot actor Ty Ramsay is revealed. Insisting this'll be a one-night-only performance, she's going to risk it all. But Ty has other ideas...ones that involve all-night make-out sessions, doing damage to the headboard and three-day getaways to the sexiest spots on earth. He might even be thinking long-term, Trish has him so wound up -- but she's not sure and may need a lot of convincing...Ty Ramsay style!

There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also (as C. P. Snow recounts in his Foreword to the 1967 edition) 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

A second chance for truth... Julia Covington can barely breathe. The moment she touches the ancient White Star amulet, she knows it's the real deal. Good thing she -- a serious antiquities expert -- doesn't believe in curses. In an instant, though, the piece is gone -- swiped while she's arguing with Alex Spencer. Their six-month fling was supposed to be over, but the museum's charismatic hot-blooded marketing director wants back in. Then Julia and Alex discover they've been trapped. Alone. Together. Underground. He thinks he's caught a second chance. But will forty-eight hours be enough time to convince her and save themselves?

The Integration of Functions of a Single Variable: Large Print By G. H. Hardy This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

Volume 3 of Collected Papers of G. H. Hardy, including joint papers with J. E. Littlewood and others, edited by a committee appointed by the London Mathematical Society.This volume includes papers about:1. Trigonometric series. (a) Convergence of a Fourier series or its conjugate, (b) Summability of a Fourier series or its conjugate, (c) The Young-Hausdorff inequalities, (d) Special trigonometric series, (e) Other papers on trigonometric series.2. Mean values of power series

G. H. Hardy Was One Of This Century's Finest Mathematical Thinkers, Renowned Among His Contemporaries As A 'real Mathematician … The Purest Of The Pure'. He Was Also, As C. P. Snow Recounts In His Foreword, 'unorthodox, Eccentric, Radical, Ready To Talk About Anything'. This 'apology', Written In 1940 As His Mathematical Powers Were Declining, Offers A Brilliant And Engaging Account Of Mathematics As Very Much More Than A Science; When It Was First Published, Graham Greene Hailed It Alongside Henry James's Notebooks As 'the Best Account Of What It Was Like To Be A Creative Artist'. C. P. Snow's Foreword Gives Sympathetic And Witty Insights Into Hardy's Life, With Its Rich Store Of Anecdotes Concerning His Collaboration With The Brilliant Indian Mathematician Ramanujan, His Aphorisms And Idiosyncrasies, And His Passion For Cricket. This Is A Unique Account Of The Fascination Of Mathematics And Of One Of Its Most Compelling Exponents In Modern Times. By G.h. Hardy ; With A Foreword By C.p. Snow. Includes Bibliographical References.

G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician … the purest of the pure'. He was also (as C. P. Snow recounts in his Foreword to the 1967 edition) 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.

Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, this classic, graduate-level text begins with a brief introduction to some generalities about trigonometrical series. Discussions of the Fourier series in Hilbert space lead to an examination of further properties of trigonometrical Fourier series, concluding with a detailed look at the applications of previously outlined theorems. Ideally suited for both individual and classroom study.

There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

v. : "Complete list of Hardy's mathematical papers": v. 1, p. 683-699; v. 3, p. 731-747 Includes bibliographical references