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Introduction To Number Theory.
・ISBN 978-1-78634-489-2 paper GB£ 51.00
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| 著者・編者 | Hill, Richard Michael, |
|---|---|
| シリーズ | Essential Textbooks in Mathematics |
| 出版社 | (World Scientific Europe Ltd, UK) |
| 出版年月 | 2018 |
| ページ数 | 264 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-14249> |
解説
"Probably its most significant distinguishing feature is that this book is more algebraically oriented than most undergraduate number theory texts."MAA ReviewsIntroduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers.The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions.Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.