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## Undergraduate Texts in Mathematics: Introduction to Analytic Number Theory (Hardback)"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." — From the back cover ## $33.95 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in excellent condition with very few signs of use and wear.

## Description

The author recommends that this course be followed by *Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics) (v. 41)* from Springer-Verlag and available at our affiliate Amazon.com.

Continued from the back cover: “The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet’s theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Reimann zeta functions and Dirichlet L-functions. Also included is an introduction to partitions. 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 en chapters, with the exception of one section,a re accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including integration theory and residue calculus.”

**Chapters**

- The Fundamental Theorem of Arithmetic
- Arithmetical Functions and Dirichlet Multiplication
- Averages of Arithmetical Functions
- Some Elementary Theorems on the Distribution of Prime Numbers
- Congruences
- Finite Abelian Groups and Their Characters
- Dirichlet’s Theorem on Primes in Arithmetic Progressions
- Periodic Arithmetical Functions and Gauss Sums
- Quadratic Residues and the Quadratic Reciprocity Law
- Primitive Roots
- Dirichlet Series and Euler Products
- The Functions
*ζ(s)*and*L(s,χ)* - Analytic Proof of the Prime Number Theorem
- Partitions

The textbook ends with Bibliography, Index of Special Symbols, and Index.

## Details

- SKU:
- 2499
- Subject:
- Mathematics
- Author:
- Apostol, Tom M.
- Publisher:
- Springer
- Publish Date:
- 1995 (Corrected fourth printing)
- Format:
- Hardback
- Weight (pounds):
- 1.49
- Dimensions (W”xL”xH”):
- 6.3″x9.5″x0.9″
- ISBN-13:
- 9780387901633
- ISBN-10:
- 0387901639
- Grade Level:
- College
- Series:
- Springer Graduate Texts in Mathematics

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