Number Theory

Volume I: Tools and Diophantine Equations

Authors:

ISBN: 978-0-387-49922-2 (Print) 978-0-387-49923-9 (Online)

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiii

  2. Introduction to Diophantine Equations

    1. No Access

      Book Chapter

      Pages 1-8

      Introduction to Diophantine Equations

  3. Tools

    1. Front Matter

      Pages 9-9

    2. No Access

      Book Chapter

      Pages 11-100

      Abelian Groups, Lattices, and Finite Fields

    3. No Access

      Book Chapter

      Pages 101-182

      Basic Algebraic Number Theory

    4. No Access

      Book Chapter

      Pages 183-283

      p-adic Fields

    5. No Access

      Book Chapter

      Pages 285-332

      Quadratic Forms and Local-Global Principles

  4. Diophantine Equations

    1. Front Matter

      Pages 333-333

    2. No Access

      Book Chapter

      Pages 335-464

      Some Diophantine Equations

    3. No Access

      Book Chapter

      Pages 465-516

      Elliptic Curves

    4. No Access

      Book Chapter

      Pages 517-614

      Diophantine Aspects of Elliptic Curves

  5. Back Matter

    Pages 615-653