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Number Theory

An Introduction to Mathematics

  • W.A. Coppel

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages 1-11
  2. W. A. Coppel
    Pages 1-82
  3. W. A. Coppel
    Pages 83-127
  4. W. A. Coppel
    Pages 129-178
  5. W. A. Coppel
    Pages 179-222
  6. W. A. Coppel
    Pages 223-259
  7. W. A. Coppel
    Pages 261-290
  8. W. A. Coppel
    Pages 291-326
  9. W. A. Coppel
    Pages 327-362
  10. W. A. Coppel
    Pages 363-398
  11. W. A. Coppel
    Pages 399-446
  12. W. A. Coppel
    Pages 447-492
  13. W. A. Coppel
    Pages 493-540
  14. W. A. Coppel
    Pages 541-586
  15. Back Matter
    Pages 1-24

About this book

Introduction

"Number Theory" is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.

 

The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse–Minkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions.

 

The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study.

 

From the reviews:

"This is a book which many mathematicians could enjoy browsing, and one which a good undergraduate could be encouraged to read to learn something of the interconnections, which exist between apparently disparate parts of mathematics."

—Canadian Mathematical Society

"As a source for information on the 'reach' of number theory into other areas of mathematics, it is an excellent work."

—Mathematical Association of America

Keywords

Prime Prime number continued fractions determinants diophantine equations elliptic functions introduction number theory quadratic forms

Authors and affiliations

  • W.A. Coppel
    • 1
  1. 1.GriffithAustralia

Bibliographic information

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