Overview

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 Erdos-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.

Full Product Details

Author:   Donald J. Newman
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st ed. 1998. Corr. 2nd printing 2000
Volume:   177
Dimensions:   Width: 15.50cm , Height: 0.60cm , Length: 23.50cm
Weight:   0.325kg
ISBN:  

9780387983080

ISBN 10:   0387983082
Pages:   80
Publication Date:   19 December 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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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)

D. J. Newman <p>Analytic Number Theory <p> This book is remarkable . . . The authora (TM)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. a MATHEMATICAL

"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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