Introduction to Analytic Number Theory, Volume 1

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Springer Science & Business Media, May 11, 1976 - Mathematics - 338 pages
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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 (c) 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.

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I've found this to be the best overall introduction to analytic number theory. I'm trained in physics, and interested in number theory, and this book really helped me to learn the basics. The problems are excellent as well.

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User Review  - Elizabeth SQ Goodman - Goodreads

I figure I need some grounding in analytic number theory, because I've always found it confusing. I read the first two chapters or so of this and that was fine. Read full review


Historical Introduction
The Fundamental Theorem of Arithmetic
The Euclidean algorithm
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 9
Primitive Roots
Chapter 11
Chapter 12
Chapter 13

Chapter 7
Periodic Arithmetical Functions and Gauss Sums

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About the author (1976)

Tom M. Apostol joined the California Institute of Technology faculty in 1950 and is now Professor of Mathematics, Emeritus. He is internationally known for his textbooks on Calculus, Analysis, and Analytic Number Theory, which have been translated into 5 languages, and for creating Project MATHEMATICS!, a series of video programs that bring mathematics to life with computer animation, live action, music, and special effects. The videos have won first-place honors at a dozen international video festivals, and have been translated into Hebrew, Portuguese, French, and Spanish. His list of publications includes 98 research papers, 46 of them published since he retired in 1992. He has received several awards for his research and teaching. In 1978 he was a visiting professor at the University of Patras in Greece, and in 2000 was elected a Corresponding Member of the Academy of Athens, where he delivered his inaugural lecture in Greek.

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