Reviews
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), 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. (Ã�lvaro Lozano-Robledo, The Mathematical Association of America, December, 2011), T.M. ApostolIntroduction 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." â€�MATHEMATICAL REVIEWS, From the reviews:T.M. ApostolIntroduction 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 REVIEWSAfter 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. (Ã�lvaro Lozano-Robledo, The Mathematical Association of America, December, 2011), 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 itsown 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)
Synopsis
This introductory textbook teaches undergraduates the basic ideas and techniques of number theory, with special attention 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., "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 REVIEWS, to Analytic Number Theory With 24 Illustrations ~Springer Tom M. Apostol Department of Mathematics California Institute ofTechnology Pasadena, California 91125 U.S.A. Editorial Board S. Axler F.W. Gehring K.A. Ribet Mathematics Department Mathematics Department Mathematics Department San Francisco State East Hali University of California, University University of Michigan at Berkeley San Francisco, CA 94132 Ann Arbor, MI 48109 Berkeley, CA 94720-3840 USA USA USA Mathematics Subject Classification (2000): 11-01, Il AXX Library of Congress Cataloging-in-Publication Data Apostol, Tom M. lntroduction to analytic number theory. (Undergraduate texts in mathematics) "Evolved from a course (Mathematics 160) offered at the California Institute ofTechnology during the last 25 years." Bibliography: p. 329. lncludes index. 1. Numbers, Theory of. 2. Arithmetic functions. 3. Numbers, Prime. !. Title. Printed on acid-frec paper. QA24l.A6 512 '73 75-3 7697 ISBN 978-1-4419-2805-4 ISBN 978-1-4757-5579-4 (eBook) DOI 10.1007/978-1-4757-5579-4 © 1976 Springer Science+Business Media New York Originally published by Springer Science+Business Media, Inc. in 1976 AII rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher Springer Science+Business Media, LLC, except for brief excerpts in connection with reviews or scho1arly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimi1ar methodology now known or hereafter developed is forbidden., 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.
