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[BX0145N] A Friendly Introduction to Number Theory 4/E    首頁 > 英文圖書類 > Mathes
定價 : $ 1,350
特價 : $ 1,283
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Table of Contents:

  • 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. Quadratic Reciprocity

  • 22. Proof of Quadratic Reciprocity

  • 23. Which Primes Are Sums of Two Squares?

  • 24.Which Numbers Are Sums of Two Squares?

  • 25. Euler’s Phi Function and Sums of Divisors

  • 26. Powers Modulo p and Primitive Roots

  • 27. Primitive Roots and Indices

  • 28. The Equation X4 + Y4 = Z4

  • 29. Square–Triangular Numbers Revisited

  • 30. Pell’s Equation

  • 31. Diophantine Approximation

  • 32. Diophantine Approximation and Pell’s Equation

  • 33. Number Theory and Imaginary Numbers

  • 34. The Gaussian Integers and Unique Factorization

  • 35. Irrational Numbers and Transcendental Numbers

  • 36. Binomial Coefficients and Pascal’s Triangle

  • 37. Fibonacci’s Rabbits and Linear Recurrence Sequences

  • 38. Cubic Curves and Elliptic Curves

  • 39. Elliptic Curves with Few Rational Points

  • 40. Points on Elliptic Curves Modulo p

  • 41. Torsion Collections Modulo p and Bad Primes

  • 42. Defect Bounds and Modularity Patterns

  • 43. Elliptic Curves and Fermat’s Last Theorem

  • 44. The Topsy-Turvy World of Continud Fractions

  • 45. Continued Fractions and Pell’s Equation

  • 46. Generating Functions

  • 47. Sums of Powers

  • 48. Appendix: A List of Primes

 本書其它內容…

作(編/譯)者 : SILVERMAN 出版年份 : 2014
ISBN : 9781292027098 書號 : BX0145N
幾色 : 1 規格 : 平裝
發行公司 : PEARSON 英文書名中譯 : 數論學
版次 : 4E 頁數 : 480
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