Field Theory

Authors:

ISBN: 978-0-387-27677-9 (Print) 978-0-387-27678-6 (Online)

Table of contents (16 chapters)

  1. Preliminaries

    1. No Access

      Book Chapter

      Pages 1-20

      Preliminaries

  2. Field Extensions

    1. Front Matter

      Pages 21-21

    2. No Access

      Book Chapter

      Pages 23-40

      Polynomials

    3. No Access

      Book Chapter

      Pages 41-71

      Field Extensions

    4. No Access

      Book Chapter

      Pages 73-92

      Embeddings and Separability

    5. No Access

      Book Chapter

      Pages 93-109

      Algebraic Independence

  3. Galois Theory

    1. Front Matter

      Pages 111-111

    2. No Access

      Book Chapter

      Pages 113-136

      Galois Theory I: An Historical Perspective

    3. No Access

      Book Chapter

      Pages 137-171

      Galois Theory II: The Theory

    4. No Access

      Book Chapter

      Pages 173-195

      Galois Theory III: The Galois Group of a Polynomial

    5. No Access

      Book Chapter

      Pages 197-209

      A Field Extension as a Vector Space

    6. No Access

      Book Chapter

      Pages 211-224

      Finite Fields I: Basic Properties

    7. No Access

      Book Chapter

      Pages 225-238

      Finite Fields II: Additional Properties

    8. No Access

      Book Chapter

      Pages 239-259

      The Roots of Unity

    9. No Access

      Book Chapter

      Pages 261-267

      Cyclic Extensions

    10. No Access

      Book Chapter

      Pages 269-286

      Solvable Extensions

  4. The Theory of Binomials

    1. Front Matter

      Pages 287-287

    2. No Access

      Book Chapter

      Pages 289-308

      Binomials

    3. No Access

      Book Chapter

      Pages 309-317

      Families of Binomials