Algebraic Number Theory

Authors:

ISBN: 978-3-319-07544-0 (Print) 978-3-319-07545-7 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii

  2. No Access

    Chapter

    Pages 1-16

    Unique Factorisation in the Natural Numbers

  3. No Access

    Chapter

    Pages 17-37

    Number Fields

  4. No Access

    Chapter

    Pages 39-63

    Fields, Discriminants and Integral Bases

  5. No Access

    Chapter

    Pages 65-86

    Ideals

  6. No Access

    Chapter

    Pages 87-112

    Prime Ideals and Unique Factorisation

  7. No Access

    Chapter

    Pages 113-147

    Imaginary Quadratic Fields

  8. No Access

    Chapter

    Pages 149-168

    Lattices and Geometrical Methods

  9. No Access

    Chapter

    Pages 169-189

    Other Fields of Small Degree

  10. No Access

    Chapter

    Pages 191-206

    Cyclotomic Fields and the Fermat Equation

  11. No Access

    Chapter

    Pages 207-230

    Analytic Methods

  12. No Access

    Chapter

    Pages 231-255

    The Number Field Sieve

  13. Back Matter

    Pages 257-292