Friendly Introduction to Number Theory, A (Classic Version) 4th Edition Joseph H. Silverman-Test Bank

Preface

Flowchart of Chapter Dependencies

Introduction

1. What Is Number Concept?
2. Pythagorean Triples
3. Pythagorean Triples and the Unit Circle
4. Sums of Elevated Powers and Fermat’s Ultimate Theorem
5. Divisibility and the Finest Frequent Divisor
6. Linear Equations and the Finest Frequent Divisor
7. Factorization and the Primary Theorem of Arithmetic
8. Congruences
9. Congruences, Powers, and Fermat’s Little Theorem
10. Congruences, Powers, and Euler’s Methodology
11. Euler’s Phi Carry out and the Chinese language language The remainder Theorem
12. Prime Numbers
13. Counting Primes
14. Mersenne Primes
15. Mersenne Primes and Good Numbers
16. Powers Modulo m and Successive Squaring
17. Computing okay^th Roots Modulo m
18. Powers, Roots, and “Unbreakable” Codes
19. Primality Testing and Carmichael Numbers
20. Squares Modulo p
21. Is -1 a Sq. 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 Carry out and Sums of Divisors
28. Powers Modulo p and Primitive Roots
29. Primitive Roots and Indices
30. The Equation X⁴ + Y⁴ = Z⁴
31. Sq. – Triangular Numbers Revisited
32. Pell’s Equation
33. Diophantine Approximation
34. Diophantine Approximation and Pell’s Equation
35. Number Concept and Imaginary Numbers
36. The Gaussian Integers and Distinctive 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 Carry out
41. Cubic Curves and Elliptic Curves
42. Elliptic Curves with Few Rational Components
43. Components on Elliptic Curves Modulo p
44. Torsion Collections Modulo p and Harmful Primes
45. Defect Bounds and Modularity Patterns
46. Elliptic Curves and Fermat’s Ultimate Theorem
47. The Topsy-Turvey World of Continued Fractions [online]
48. Continued Fractions, Sq. Roots, and Pell’s Equation [online]
49. Producing Options [online]
50. Sums of Powers [online]

Extra Learning

Index

A. Factorization of Small Composite Integers [online]

B. A Guidelines of Primes [online]