Algebraic Number Theory, 2nd Edition

Algebraic Number Theory, 2nd Edition

by Richard A. Mollin
Released January 2011
Publisher(s): Chapman and Hall/CRC
ISBN: 9781439845998

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Book description

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding of challenging material. This edition also studies binary quadratic forms and compares the ideal and form class groups. The text includes convenient cross-referencing, a comprehensive index, and numerous exercises and applications.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. About the Author
  7. Suggested Course Outlines
  8. Course Outlines
  9. Chapter 1: Integral Domains, Ideals, and Unique Factorization (1/11)
  10. Chapter 1: Integral Domains, Ideals, and Unique Factorization (2/11)
  11. Chapter 1: Integral Domains, Ideals, and Unique Factorization (3/11)
  12. Chapter 1: Integral Domains, Ideals, and Unique Factorization (4/11)
  13. Chapter 1: Integral Domains, Ideals, and Unique Factorization (5/11)
  14. Chapter 1: Integral Domains, Ideals, and Unique Factorization (6/11)
  15. Chapter 1: Integral Domains, Ideals, and Unique Factorization (7/11)
  16. Chapter 1: Integral Domains, Ideals, and Unique Factorization (8/11)
  17. Chapter 1: Integral Domains, Ideals, and Unique Factorization (9/11)
  18. Chapter 1: Integral Domains, Ideals, and Unique Factorization (10/11)
  19. Chapter 1: Integral Domains, Ideals, and Unique Factorization (11/11)
  20. Chapter 2: Field Extensions (1/7)
  21. Chapter 2: Field Extensions (2/7)
  22. Chapter 2: Field Extensions (3/7)
  23. Chapter 2: Field Extensions (4/7)
  24. Chapter 2: Field Extensions (5/7)
  25. Chapter 2: Field Extensions (6/7)
  26. Chapter 2: Field Extensions (7/7)
  27. Chapter 3: Class Groups (1/11)
  28. Chapter 3: Class Groups (2/11)
  29. Chapter 3: Class Groups (3/11)
  30. Chapter 3: Class Groups (4/11)
  31. Chapter 3: Class Groups (5/11)
  32. Chapter 3: Class Groups (6/11)
  33. Chapter 3: Class Groups (7/11)
  34. Chapter 3: Class Groups (8/11)
  35. Chapter 3: Class Groups (9/11)
  36. Chapter 3: Class Groups (10/11)
  37. Chapter 3: Class Groups (11/11)
  38. Chapter 4: Applications: Equations and Sieves (1/9)
  39. Chapter 4: Applications: Equations and Sieves (2/9)
  40. Chapter 4: Applications: Equations and Sieves (3/9)
  41. Chapter 4: Applications: Equations and Sieves (4/9)
  42. Chapter 4: Applications: Equations and Sieves (5/9)
  43. Chapter 4: Applications: Equations and Sieves (6/9)
  44. Chapter 4: Applications: Equations and Sieves (7/9)
  45. Chapter 4: Applications: Equations and Sieves (8/9)
  46. Chapter 4: Applications: Equations and Sieves (9/9)
  47. Chapter 5: Ideal Decomposition in Number Fields (1/16)
  48. Chapter 5: Ideal Decomposition in Number Fields (2/16)
  49. Chapter 5: Ideal Decomposition in Number Fields (3/16)
  50. Chapter 5: Ideal Decomposition in Number Fields (4/16)
  51. Chapter 5: Ideal Decomposition in Number Fields (5/16)
  52. Chapter 5: Ideal Decomposition in Number Fields (6/16)
  53. Chapter 5: Ideal Decomposition in Number Fields (7/16)
  54. Chapter 5: Ideal Decomposition in Number Fields (8/16)
  55. Chapter 5: Ideal Decomposition in Number Fields (9/16)
  56. Chapter 5: Ideal Decomposition in Number Fields (10/16)
  57. Chapter 5: Ideal Decomposition in Number Fields (11/16)
  58. Chapter 5: Ideal Decomposition in Number Fields (12/16)
  59. Chapter 5: Ideal Decomposition in Number Fields (13/16)
  60. Chapter 5: Ideal Decomposition in Number Fields (14/16)
  61. Chapter 5: Ideal Decomposition in Number Fields (15/16)
  62. Chapter 5: Ideal Decomposition in Number Fields (16/16)
  63. Chapter 6: Reciprocity Laws (1/12)
  64. Chapter 6: Reciprocity Laws (2/12)
  65. Chapter 6: Reciprocity Laws (3/12)
  66. Chapter 6: Reciprocity Laws (4/12)
  67. Chapter 6: Reciprocity Laws (5/12)
  68. Chapter 6: Reciprocity Laws (6/12)
  69. Chapter 6: Reciprocity Laws (7/12)
  70. Chapter 6: Reciprocity Laws (8/12)
  71. Chapter 6: Reciprocity Laws (9/12)
  72. Chapter 6: Reciprocity Laws (10/12)
  73. Chapter 6: Reciprocity Laws (11/12)
  74. Chapter 6: Reciprocity Laws (12/12)
  75. Appendix A (1/6)
  76. Appendix A (2/6)
  77. Appendix A (3/6)
  78. Appendix A (4/6)
  79. Appendix A (5/6)
  80. Appendix A (6/6)
  81. Appendix B (1/2)
  82. Appendix B (2/2)
  83. Appendix C
  84. Appendix D
  85. Bibliography (1/2)
  86. Bibliography (2/2)
  87. Solutions to Odd-Numbered Exercises (1/9)
  88. Solutions to Odd-Numbered Exercises (2/9)
  89. Solutions to Odd-Numbered Exercises (3/9)
  90. Solutions to Odd-Numbered Exercises (4/9)
  91. Solutions to Odd-Numbered Exercises (5/9)
  92. Solutions to Odd-Numbered Exercises (6/9)
  93. Solutions to Odd-Numbered Exercises (7/9)
  94. Solutions to Odd-Numbered Exercises (8/9)
  95. Solutions to Odd-Numbered Exercises (9/9)

Product information

  • Title: Algebraic Number Theory, 2nd Edition
  • Author(s): Richard A. Mollin
  • Release date: January 2011
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781439845998