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A Course in Number Theory (Oxford Science Publications) (2nd Revised edition) ISBN: 0198523769 ISBN13: 9780198523765 A Course in Number Theory (Oxford Science Publications) (2nd Revised edition) By: H.E. Rose Publisher: Clarendon Press Format: Paperback Our Price: 35.00

  Table of contents:

The second edition of this undergraduate textbook is now available in paperback. Covering up-to-date as well as established material, it is the only textbook which deals with all the main areas of number theory, taught in the third year of a mathematics course. Each chapter ends with a collection of problems, and hints and sketch solutions are provided at the end of the book, together with useful tables.


Contents:

1

Divisibility
- 2

Multiplicative Functions
- 3

Congruence Theory
- 4

Quadratic Residues
- 5

Algebraic Topics
- 6

Sums of Squares and Gauss Sums
- 7

Continued Fractions
- 8

Transcendental Numbers
- 9

Quadratic Forms
- 10

Genera and the Class Group
- 11

Partitions
- 12

The Prime Numbers
- 13

Two Major Theorems on the Primes
- 14

Diophantine Equations
- 15

Elliptic Curves: Basic Theory
- 16

Elliptic Curves: Further Results and Applications
- Answers and Hints to Problems
- Tables
- Bibliography
- Index to Notation
- General Index


Brief Description:

This textbook, aimed at undergraduate mathematicians, covers the main topics in number theory: the properties of ordinary numbers and fractions. Many modern aspects are covered, including (briefly) the latest work on Fermat's last theorem.

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