Overview
- Written for undergraduate students and beginners
- More than 300 exercises, most with hints or solutions
- Teaches the use of open source mathematical software in number theory
Part of the book series: Universitext (UTX)
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About this book
This book is an elementary introduction to p-adic numbers. Most other books on the subject are written for more advanced students; this book provides an entryway to the subject for students with an undergraduate mathematics education. Readers who want to have an idea of and appreciation for the subject will probably find what they need in this book. Readers on the way to becoming experts can begin here before moving on to more advanced texts.
This third edition has been thoroughly revised to correct mistakes, make the exposition clearer, and call attention to significant aspects that are usually reserved for advanced books. The most important addition is the integration of mathematical software for computations with p-adic numbers and functions. A final chapter includes a selection of problems for further exploration.
From the reviews of the first and second editions:
"Perhaps the most suitable text for beginners" - The Mathematical Gazette
"This text perfectly fulfills what it proposes" - Mathematical Reviews
"An extraordinarily nice manner to introduce the uninitiated to the subject" - Mededelingen van het wiskundig genootschap
"If I had to recommend one book on the subject to a student – or even to a fully grown mathematician ...– it would still be this book" - MAA Reviews
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Table of contents (8 chapters)
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Bibliographic Information
Book Title: p-adic Numbers
Book Subtitle: An Introduction
Authors: Fernando Q. Gouvêa
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-030-47295-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-47294-8Published: 20 June 2020
eBook ISBN: 978-3-030-47295-5Published: 19 June 2020
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 3
Number of Pages: XIII, 366
Number of Illustrations: 19 b/w illustrations
Topics: Number Theory, Field Theory and Polynomials, Analysis