Title
Padic Analysis Compared With Real (Student Mathematical Library) (Student Mathematical Library, 37),Used
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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 selfstudy.
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- Q: What is the main focus of 'P-adic Analysis Compared With Real'? A: The book focuses on introducing $p$-adic numbers through the lenses of number theory, topology, and analysis.
- Q: Who is the author of this book? A: The author of 'P-adic Analysis Compared With Real' is Svetlana Katok.
- Q: What is the condition of the book? A: The book is listed as 'New' condition.
- Q: How many pages does the book have? A: This book contains 152 pages.
- Q: What type of binding does the book have? A: The book has a paperback binding.
- Q: When was 'P-adic Analysis Compared With Real' published? A: The book was published on April 5, 2007.
- Q: Is this book suitable for undergraduate students? A: Yes, the book emphasizes topics accessible to undergraduates, making it suitable for them.
- Q: Does the book include exercises and solutions? A: Yes, it includes a large number of exercises, with answers, hints, and solutions provided at the end.
- Q: What topics from real analysis does the book cover? A: The book covers topics such as totally disconnected spaces, Cantor sets, and the Baire Category Theorem.
- Q: Can this book be used for self-study? A: Yes, the book is well-written and can be effectively used for self-study.