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Introduction to Analytic Number Theory Tom M. Apostol

Introduction to Analytic Number Theory By Tom M. Apostol

Introduction to Analytic Number Theory by Tom M. Apostol

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Summary

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.

Introduction to Analytic Number Theory Summary

Introduction to Analytic Number Theory by Tom M. Apostol

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

Introduction to Analytic Number Theory 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. (Alvaro Lozano-Robledo, The Mathematical Association of America, December, 2011)

Table of Contents

1: The Fundamental Theorem of Arithmetic. 2: Arithmetical Functions and Dirichlet Multiplication. 3: Averages of Arithmetical Function. 4: Some Elementary Theorems on the Distribution of Prime Numbers. 5: Congruences. 6: Finite Abelian Groups and Their Characters. 7: Cirichlet's Theorem on Primes in Arithmetic Progressions. 8: Periodic Arithmetical Functions and Gauss Sums. 9: Quadratic Residues and the Quadratic Reciprocity Law. 10: Primitive Roots. 11: Dirichlet Series and Euler Products. 12: The Functions. 13: Analytic Proof of the Prime Number Theorem. 14: Partitions.

Additional information

NLS9781441928054
9781441928054
1441928057
Introduction to Analytic Number Theory by Tom M. Apostol
Tom M. Apostol
Undergraduate Texts in Mathematics
New
Paperback
Springer-Verlag New York Inc.
2010-12-01
340
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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