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P-adic Analysis Compared With Real (Student Mathematical Library) (Student Mathematical Library, 37) 🔍
Svetlana Katok American Mathematical Society ; Mathematics Advanced Study Semesters, The Student Mathematical Library, Student Mathematical Library 037, 2007
English [en] · DJVU · 1.5MB · 2007 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/upload/zlib · Save
description
The book gives an introduction to $p$-adic numbers from the point of view of number theory, topology, and analysis. Compared to other books on the subject, its novelty is both a particularly balanced approach to these three points of view and an emphasis on topics accessible to undergraduates. In addition, several topics from real analysis and elementary topology which are not usually covered in undergraduate courses (totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, surjectivity of isometries of compact metric spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and $p$-adic contexts of the book. The book is based on an advanced undergraduate course given by the author. The choice of the topic was motivated by the internal beauty of the subject of $p$-adic analysis, an unusual one in the undergraduate curriculum, and abundant opportunities to compare it with its much more familiar real counterpart. The book includes a large number of exercises. Answers, hints, and solutions for most of them appear at the end of the book. Well written, with obvious care for the reader, the book can be successfully used in a topic course or for self-study.
Alternative filename
lgli/75/M_Mathematics/MA_Algebra/Katok S. p-adic analysis compared with real (STML037, AMS, 2007)(ISBN 9780821842201)(600dpi)(T)(O)(170s)_MA_.djvu
Alternative filename
lgrsnf/75/M_Mathematics/MA_Algebra/Katok S. p-adic analysis compared with real (STML037, AMS, 2007)(ISBN 9780821842201)(600dpi)(T)(O)(170s)_MA_.djvu
Alternative filename
lgli/M_Mathematics/MA_Algebra/Katok S. p-adic analysis compared with real (STML037, AMS, 2007)(ISBN 9780821842201)(600dpi)(T)(O)(170s)_MA_.djvu
Alternative filename
nexusstc/𝑝-adic Analysis Compared with Real/21b5f1a688f13e7ca8edf8428272cb2c.djvu
Alternative author
Katok, Svetlana
Alternative publisher
Education Development Center, Incorporated
Alternative edition
Student mathematical library -- v. 37, Providence, R.I, [University Park, PA], Rhode Island, 2007
Alternative edition
Student mathematical library, volume 37, Providence, R.I, 2007
Alternative edition
Student mathematical library (Online), Providence (R.I.), 2012
Alternative edition
American Mathematical Society, Providence, R.I., 2007
Alternative edition
United States, United States of America
Alternative edition
New Edition, 2007
metadata comments
kolxoz -- 75
metadata comments
lg1415107
metadata comments
{"container_title":"The Student Mathematical Library","isbns":["082184220X","1470421488","9780821842201","9781470421489"],"issns":["1520-9121"],"last_page":170,"publisher":"American Mathematical Society","series":"Student Mathematical Library 037"}
metadata comments
Includes bibliographical references (p. 149-150) and index.
Alternative description
"The book gives an introduction to p-adic numbers from the point of view of number theory, topology, and analysis. Compared to other books on the subject, its novelty is both a particularly balanced approach to these three points of view and an emphasis on topics accessible to undergraduates. In addition, several topics from real analysis and elementary topology which are not usually covered in undergraduate courses (totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, surjectivity isometries of compact metric spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and p-adic contexts of the book." "The book includes a large number of exercises. Answers, hints, and solutions for most of them appear at the end of the book. The book can be successfully used in a topic course or for self-study."--BOOK JACKET
date open sourced
2015-12-12
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