Solutions Manual for A Friendly Introduction to Number Theory 4th Edition by Silverman

Complete downloadable Solutions Manual for A Friendly Introduction to Number Theory 4th Edition by Silverman. INSTRUCTOR RESOURCE INFORMATION
TITLE: A Friendly Introduction to Number Theory
RESOURCE:Solutions Manual
EDITION: 4th Edition
AUTHOR: Silverman
PUBLISHER: Pearson

Table of content

1. What Is Number Theory?.
2. Pythagorean Triples.
3. Pythagorean Triples and the Unit Circle.
4. Sums of Higher Powers and Fermat’s Last Theorem.
5. Divisibility and the Greatest Common Divisor.
6. Linear Equations and the Greatest Common Divisor.
7. Factorization and the Fundamental Theorem of Arithmetic.
8. Congruences.
9. Congruences, Powers, and Fermat’s Little Theorem.
10. Congruences, Powers, and Euler’s Formula.
11. Euler’s Phi Function and the Chinese Remainder Theorem.
12. Prime Numbers.
13. Counting Primes.
14. Mersenne Primes.
15. Mersenne Primes and Perfect Numbers.
16. Powers Modulo m and Successive Squaring.
17. Computing kth Roots Modulo m.
18. Powers, Roots, and “Unbreakable” Codes.
19. Primality Testing and Carmichael Numbers.
20. Squares Modulo p.
21. Is -1 a Square Modulo p? Is 2?.
22. Quadratic Reciprocity.
23. Proof of Quadratic Reciprocity.
24. Which Primes Are Sums of Two Squares?.
25. Which Numbers Are Sums of Two Squares?.
26. As Easy as One, Two, Three.
27. Euler’s Phi Function and Sums of Divisors.
28. Powers Modulo p and Primitive Roots.
29. Primitive Roots and Indices.
30. The Equation X4 + Y4 = Z4.
31. Square–Triangular Numbers Revisited.
32. Pell’s Equation.
33. Diophantine Approximation.
34. Diophantine Approximation and Pell’s Equation.
35. Number Theory and Imaginary Numbers.
36. The Gaussian Integers and Unique Factorization.
37. Irrational Numbers and Transcendental Numbers.
38. Binomial Coefficients and Pascal’s Triangle.
39. Fibonacci’s Rabbits and Linear Recurrence Sequences.
40. Oh, What a Beautiful Function.
41. Cubic Curves and Elliptic Curves.
42. Elliptic Curves with Few Rational Points.
43. Points on Elliptic Curves Modulo p.
44. Torsion Collections Modulo p and Bad Primes.
45. Defect Bounds and Modularity Patterns.
46. Elliptic Curves and Fermat’s Last Theorem.

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