Book contents
- Frontmatter
- Preface
- Contents
- Leitfaden
- Notational conventions
- Chapter 1 Introduction
- Chapter 2 General properties
- Chapter 3 Archimedean valuations
- Chapter 4 Non archimedean valuations. Simple properties
- Chapter 5 Embedding theorem
- Chapter 6 Transcendental extensions. Factorization
- Chapter 7 Algebraic extensions (complete fields)
- Chapter 8 p-adic fields
- Chapter 9 Algebraic extensions (incomplete fields)
- Chapter 10 Algebraic number fields
- Chapter 11 Diophantine equations
- Chapter 12 Advanced analysis
- Chapter 13 A theorem of Borel and Dwork
- Appendix A Resultants and discriminants
- Appendix B Norms, traces and characteristic polynomials
- Appendix C Minkowski's convex body theorem
- Appendix D Solution of equations in finite fields
- Appendix E Zeta and L-functions at negative integers
- Appendix F Calculation of exponentials
- References
- Index
Chapter 1 - Introduction
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Preface
- Contents
- Leitfaden
- Notational conventions
- Chapter 1 Introduction
- Chapter 2 General properties
- Chapter 3 Archimedean valuations
- Chapter 4 Non archimedean valuations. Simple properties
- Chapter 5 Embedding theorem
- Chapter 6 Transcendental extensions. Factorization
- Chapter 7 Algebraic extensions (complete fields)
- Chapter 8 p-adic fields
- Chapter 9 Algebraic extensions (incomplete fields)
- Chapter 10 Algebraic number fields
- Chapter 11 Diophantine equations
- Chapter 12 Advanced analysis
- Chapter 13 A theorem of Borel and Dwork
- Appendix A Resultants and discriminants
- Appendix B Norms, traces and characteristic polynomials
- Appendix C Minkowski's convex body theorem
- Appendix D Solution of equations in finite fields
- Appendix E Zeta and L-functions at negative integers
- Appendix F Calculation of exponentials
- References
- Index
Summary

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- Local Fields , pp. 1 - 11Publisher: Cambridge University PressPrint publication year: 1986