A guide to elementary number theory / Underwood Dudley
- Author
- Dudley, Underwood
- Published
- [Washington, D.C.] : Mathematical Association of America, [2009]
- Copyright Date
- ©2009
- Physical Description
- x, 141 pages ; 24 cm.
- Additional Creators
- Mathematical Association of America
- Series
- Contents
- 1. Greatest common divisors -- 2. Unique factorization -- 3. Linear Diophantine equations -- 4. Congruences -- 5. Linear congruences -- 6. The Chinese remainder theorem -- 7. Fermat's theorem -- 8. Wilson's theorem -- 9. The number of divisors of an integer -- 10. The sum of the divisors of an integer -- 11. Amicable numbers -- 12. Perfect numbers -- 13. Euler's theorem and function -- 14. Primitive roots and orders -- 15. Decimals -- 16. Quadratic congruences -- 17. Gauss's lemma -- 18. The quadratic reciprocity theorem -- 19. The Jacobi symbol -- 20. Pythagorean triangles -- 21. x⁴ + y⁴ [not equal] z⁴ -- 22. Sums of two squares -- 23. Sums of three squares -- 24. Sums of four squares -- 25. Waring's problem -- 26. Pell's equation -- 27. Continued fractions -- 28. Multigrades -- 29. Carmichael numbers -- 30. Sophie Germain primes -- 31. The group of multiplicative functions -- 32. Bounds for [pi](x) -- 33. The sum of the reciprocals of the primes -- 34. The Riemann hypothesis -- 35. The prime number theorem -- 36. The abc conjecture -- 37. Factorization and testing for primes -- 38. Algebraic and transcendental numbers -- 39. Unsolved problems.
- Subject(s)
- ISBN
- 0883853477
9780883853474 - Note
- Includes index.
View MARC record | catkey: 6434407