A Comprehensive Course in Number Theory
eBook - PDF

A Comprehensive Course in Number Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Comprehensive Course in Number Theory

About this book

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

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Yes, you can access A Comprehensive Course in Number Theory by Alan Baker in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. A Comprehensive Course in Number Theory
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. Introduction
  8. 1 Divisibility
  9. 2 Arithmetical functions
  10. 3 Congruences
  11. 4 Quadratic residues
  12. 5 Quadratic forms
  13. 6 Diophantine approximation
  14. 7 Quadratic fields
  15. 8 Diophantine equations
  16. 9 Factorization and primality testing
  17. 10 Number fields
  18. 11 Ideals
  19. 12 Units and ideal classes
  20. 13 Analytic number theory
  21. 14 On the zeros of the zeta-function
  22. 15 On the distribution of the primes
  23. 16 The sieve and circle methods
  24. 17 Elliptic curves
  25. Bibliography
  26. Index