Wow! eBook
INTRODUCTION TO NUMBER THEORY (Essential Textbooks in Mathematics)
Author(s): Richard Michael Hill (Author)
- Publisher: World Scientific Europe
- Publication Date: January 30, 2018
- Language: English
- Print length: 264 pages
- ISBN-10: 1786344718
- ISBN-13: 9781786344717
Book Description
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.
Readership: Students and educators in a university course on number theory.
Editorial Reviews
Editorial Reviews
Review
“An extraordinary feature of this book is its gentle style. Even proofs of advanced theorems are organized in such a way that each intermediate step is well-motivated, carries some interest in itself and is easy to understand. It is accessible to anyone with a basic knowledge of proof methods, group theory and, obviously, some general mathematical knowledge … The book is very well suited as a basis for an introductory course to algebra-flavored number theory.”
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zbMATH
