{"product_id":"friendly-introduction-to-number-theory-a-9781292027098","title":"Friendly Introduction to Number Theory A","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface\u003c\/p\u003e \u003cp\u003eFlowchart of Chapter Dependencies\u003c\/p\u003e \u003cp\u003eIntroduction\u003c\/p\u003e \u003cp\u003e1. What Is Number Theory?\u003c\/p\u003e \u003cp\u003e2. Pythagorean Triples\u003c\/p\u003e \u003cp\u003e3. Pythagorean Triples and the Unit Circle\u003c\/p\u003e \u003cp\u003e4. Sums of Higher Powers and Fermat’s Last Theorem\u003c\/p\u003e \u003cp\u003e5. Divisibility and the Greatest Common Divisor\u003c\/p\u003e \u003cp\u003e6. Linear Equations and the Greatest Common Divisor\u003c\/p\u003e \u003cp\u003e7. Factorization and the Fundamental Theorem of Arithmetic\u003c\/p\u003e \u003cp\u003e8. Congruences\u003c\/p\u003e \u003cp\u003e9. Congruences, Powers, and Fermat’s Little Theorem\u003c\/p\u003e \u003cp\u003e10. Congruences, Powers, and Euler’s Formula\u003c\/p\u003e \u003cp\u003e11. Euler’s Phi Function and the Chinese Remainder Theorem\u003c\/p\u003e \u003cp\u003e12. Prime Numbers\u003c\/p\u003e \u003cp\u003e13. Counting Primes\u003c\/p\u003e \u003cp\u003e14. Mersenne Primes\u003c\/p\u003e \u003cp\u003e15. Mersenne Primes and Perfect Numbers\u003c\/p\u003e \u003cp\u003e16. Powers Modulo \u003ci\u003em\u003c\/i\u003e and Successive Squaring\u003c\/p\u003e \u003cp\u003e17. Computing \u003ci\u003ek\u003csup\u003eth\u003c\/sup\u003e\u003c\/i\u003e Roots Modulo \u003ci\u003em\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e18. Powers, Roots, and “Unbreakable” Codes\u003c\/p\u003e \u003cp\u003e19. Primality Testing and Carmichael Numbers\u003c\/p\u003e \u003cp\u003e20. Squares Modulo p\u003c\/p\u003e \u003cp\u003e21. Quadratic Reciprocity\u003c\/p\u003e \u003cp\u003e22. Proof of Quadratic Reciprocity\u003c\/p\u003e \u003cp\u003e23. Which Primes Are Sums of Two Squares?\u003c\/p\u003e \u003cp\u003e24.Which Numbers Are Sums of Two Squares?\u003c\/p\u003e \u003cp\u003e25. Euler’s Phi Function and Sums of Divisors\u003c\/p\u003e \u003cp\u003e26. Powers Modulo p and Primitive Roots\u003c\/p\u003e \u003cp\u003e27. Primitive Roots and Indices\u003c\/p\u003e \u003cp\u003e28. The Equation \u003ci\u003eX\u003c\/i\u003e\u003csup\u003e4\u003c\/sup\u003e + \u003ci\u003eY\u003c\/i\u003e\u003csup\u003e4\u003c\/sup\u003e = \u003ci\u003eZ\u003c\/i\u003e\u003csup\u003e4\u003c\/sup\u003e\u003c\/p\u003e \u003cp\u003e29. Square–Triangular Numbers Revisited\u003c\/p\u003e \u003cp\u003e30. Pell’s Equation\u003c\/p\u003e \u003cp\u003e31. Diophantine Approximation\u003c\/p\u003e \u003cp\u003e32. Diophantine Approximation and Pell’s Equation\u003c\/p\u003e \u003cp\u003e33. Number Theory and Imaginary Numbers\u003c\/p\u003e \u003cp\u003e34. The Gaussian Integers and Unique Factorization\u003c\/p\u003e \u003cp\u003e35. Irrational Numbers and Transcendental Numbers\u003c\/p\u003e \u003cp\u003e36. Binomial Coefficients and Pascal’s Triangle\u003c\/p\u003e \u003cp\u003e37. Fibonacci’s Rabbits and Linear Recurrence Sequences\u003c\/p\u003e \u003cp\u003e38. Cubic Curves and Elliptic Curves\u003c\/p\u003e \u003cp\u003e39. Elliptic Curves with Few Rational Points\u003c\/p\u003e \u003cp\u003e40. Points on Elliptic Curves Modulo \u003ci\u003ep\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e41. Torsion Collections Modulo \u003ci\u003ep\u003c\/i\u003e and Bad Primes\u003c\/p\u003e \u003cp\u003e42. Defect Bounds and Modularity Patterns\u003c\/p\u003e \u003cp\u003e43. Elliptic Curves and Fermat’s Last Theorem\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003eIndex\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e*47. The Topsy-Turvey World of Continued Fractions [online]\u003c\/p\u003e \u003cp\u003e*48. Continued Fractions, Square Roots, and Pell’s Equation [online]\u003c\/p\u003e \u003cp\u003e*49. Generating Functions [online]\u003c\/p\u003e \u003cp\u003e*50. Sums of Powers [online]\u003c\/p\u003e \u003cp\u003e*A. Factorization of Small Composite Integers [online]\u003c\/p\u003e \u003cp\u003e*B. A List of Primes [online]\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e*These chapters are available online\u003c\/p\u003e","brand":"Pearson Education Limited","offers":[{"title":"Default Title","offer_id":48866510471511,"sku":"9781292027098","price":70.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781292027098.jpg?v=1722279003","url":"https:\/\/bookcurl.com\/products\/friendly-introduction-to-number-theory-a-9781292027098","provider":"Book Curl","version":"1.0","type":"link"}