Introduction to Analytic Number Theory

Tom M. Apostol

ISBN 10: 1441928057 / ISBN 13: 9781441928054

Published by Springer New York, Springer US Dez 2010, 2010

About this Item

Neuware -'This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages.'-¿MATHEMATICAL REVIEWSSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 356 pp. Englisch.

Seller Inventory # 9781441928054

Bibliographic Details

• Title: Introduction to Analytic Number Theory
• Publisher: Springer New York, Springer US Dez 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 1441928057
• ISBN 13: 9781441928054
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 279W x 210H x 20D millimeters 279 millimeters width by 210 millimeters height by 20 millimeters depth
• Weight: 868 grams

About this title

Synopsis

This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.

Review

From the reviews:

T.M. Apostol

Introduction to Analytic Number Theory

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages. The presentation is invariably lucid and the book is a real pleasure to read."

―MATHEMATICAL REVIEWS

“After reading Introduction to Analytic Number Theory one is left with the impression that the author, Tom M. Apostal, has pulled off some magic trick. ... I must admit that I love this book. The selection of topics is excellent, the exposition is fluid, the proofs are clear and nicely structured, and every chapter contains its own set of ... exercises. ... this book is very readable and approachable, and it would work very nicely as a text for a second course in number theory.” (Álvaro Lozano-Robledo, The Mathematical Association of America, December, 2011)