p adic Analysis Compared with Real is popular PDF and ePub book, written by Svetlana Katok in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, p adic Analysis Compared with Real can be Read Online from any device for your convenience.
p adic Analysis Compared with Real Book PDF Summary
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.
Detail Book of p adic Analysis Compared with Real PDF
- Author : Svetlana Katok
- Release : 01 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821842201
- Genre : Mathematics
- Total Page : 170 pages
- Language : English
- PDF File Size : 17,6 Mb
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