Analytic Number Theory (Graduate Texts in Mathematics, 177) - Softcover

Book 47 of 180: Graduate Texts in Mathematics

Newman, Donald J.

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9781475771657: Analytic Number Theory (Graduate Texts in Mathematics, 177)

Synopsis

Analytic Number Theory presents some of the central topics in number theory in a simple and concise fashion. It covers an amazing amount of material, despite the leisurely pace and emphasis on readability. The author's heartfelt enthusiasm enables readers to see what is magical about the subject. Topics included are: The Partition Function; The Erdös-Fuchs Theorem; Sequences without Arithmetic Professions; The Waring Problem; A "Natural" Proof of the Non-vanishing of L-Series, and a Simple Analytic Proof of the Prime Number Theorem - all presented in a surprisingly elegant and efficient manner with clever examples and interesting problems in each chapter. This text is suitable for a graduate course in analytic number theory.

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Review

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)

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Other Popular Editions of the Same Title

9780387983080: Analytic Number Theory (Graduate Texts in Mathematics, Vol. 177)

Featured Edition

ISBN 10:  0387983082 ISBN 13:  9780387983080
Publisher: Springer, 1997
Hardcover