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P-adic Analysis Compared With Real

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Svetlana Katok 作者
American Mathematical Society
譯者
2007-4-5 出版日期
152 頁數
USD 29.00 價格
Paperback
Student Mathematical Library 叢書系列
9780821842201 圖書編碼

P-adic Analysis Compared With Real 在線電子書 圖書標籤: 數學  其餘代數7   


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P-adic Analysis Compared With Real 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

P-adic Analysis Compared With Real 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

P-adic Analysis Compared With Real 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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P-adic Analysis Compared With Real 在線電子書 著者簡介

Svetlana Katok: Pennsylvania State University, University Park, PA


P-adic Analysis Compared With Real 在線電子書 著者簡介


P-adic Analysis Compared With Real 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

P-adic Analysis Compared With Real 在線電子書 圖書描述

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.

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