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| TITLE: |
A guide to elementary number theory / Underwood Dudley. |
| AUTHOR: |
Dudley, Underwood. |
| SERIES: |
Dolciani mathematical expositions ; 41 |
| SERIES: |
MAA guides ; no. 5 |
| PUBLISHED: |
Washington, DC : Mathematical Association of America, 2009. |
| DESCRIPTION: |
x, 141 p. ; 23 cm. |
| EDITION: |
1st ed. |
| NOTES: |
Includes index. |
| NOTES: |
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 -- |
| NOTES: |
20. Pythagorean triangles -- 21. x^(4) + y^(4) [not equal] z^(4) -- 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: |
Number theory. |
| ADDED ENTRY: |
Mathematical Association of America |
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Title Information
