© 1976

Introduction to Analytic Number Theory


Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Tom M. Apostol
    Pages 1-12
  3. Tom M. Apostol
    Pages 13-23
  4. Tom M. Apostol
    Pages 52-73
  5. Tom M. Apostol
    Pages 106-128
  6. Tom M. Apostol
    Pages 129-145
  7. Tom M. Apostol
    Pages 157-177
  8. Tom M. Apostol
    Pages 204-223
  9. Tom M. Apostol
    Pages 224-248
  10. Tom M. Apostol
    Pages 249-277
  11. Tom M. Apostol
    Pages 278-303
  12. Tom M. Apostol
    Pages 304-328
  13. Back Matter
    Pages 329-340

About this book


Analytische Zahlentheorie Prime Prime number Riemann zeta function calculus number theory

Authors and affiliations

  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

Bibliographic information

  • Book Title Introduction to Analytic Number Theory
  • Authors Tom M. Apostol
  • Series Title Undergraduate Texts in Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York 1976
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-90163-3
  • Softcover ISBN 978-1-4419-2805-4
  • eBook ISBN 978-1-4757-5579-4
  • Series ISSN 0172-6056
  • Edition Number 1
  • Number of Pages XII, 340
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
  • Buy this book on publisher's site
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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."


“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)