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Elementary Number Theory

Elementary Number Theory - 2nd edition

ISBN13: 978-0716700760

Cover of Elementary Number Theory 2ND 78 (ISBN 978-0716700760)
ISBN13: 978-0716700760
ISBN10: 071670076X
Cover type:
Edition/Copyright: 2ND 78
Publisher: W.H. Freeman
Published: 1978
International: No

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Elementary Number Theory - 2ND 78 edition

ISBN13: 978-0716700760

Underwood Dudley

ISBN13: 978-0716700760
ISBN10: 071670076X
Cover type:
Edition/Copyright: 2ND 78
Publisher: W.H. Freeman

Published: 1978
International: No
Summary

Designed for a first course in number theory with minimal prerequisites, the book is designed to stimulates curiosity about numbers and their properties. Includes almost a thousand imaginative exercises and problems.

Table of Contents

  1. Integers
  2. Unique Factorization
  3. Linear Diophantine Equations
  4. Congruences
  5. Linear Congruences
  6. Fermat's and Wilson's Theorems
  7. The Divisors of an Integer
  8. Perfect Numbers
  9. Euler's Theorem and Function
  10. Primitive Roots
  11. Quadratic Congruences
  12. Quadratic Reciprocity
  13. Numbers in Other Bases
  14. Duodecimals
  15. Decimals
  16. Pythagorean Triangles
  17. Infinite Descent and Fermat's Conjecture
  18. Sums of Two Squares
  19. Sums of Four Square
  20. x2 - Ny2 = 1
  21. Bounds for p (x)
  22. Formulas for Primes
  23. Additional Problems

Appendices
References
Answers
Index

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