Analytic Number Theory

by Donald J. Newman

Overview

Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is magical about the subject. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.

Product Details

ISBN-13:	9781475771657
Publisher:	Springer New York
Publication date:	03/17/2013
Series:	Graduate Texts in Mathematics , #177
Edition description:	Softcover reprint of the original 1st ed. 1998
Pages:	80
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

The Idea of Analytic Number Theory.- The Partition Function.- The Erd?s-Fuchs Theorem.- Sequences without Arithmetic Progressions.- The Waring Problem.- A “Natural” Proof of the Nonvanishing of L-Series.- Simple Analytic Proof of the Prime Number Theorem.

Editorial Reviews

From the reviews:

D. J. Newman

Analytic Number Theory

"This book is remarkable . . . The author’s style remains pleasantly discursive throughout the book. Any of these chapters might be useful to a reader planning a lecture course in the relevant subject area . . . The student of analytic number theory would do well to find shelf-room for this book."—MATHEMATICAL

“Donald J. Newman was a noted problem-solver who believed that math should be fun and that beautiful theorems should have beautiful proofs. This short book collects brief, self-contained proofs of several well-known theorems in analytic number theory … .” (Allen Stenger, The Mathematical Association of America, November, 2010)

From the Publisher