Number Fields
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments. Read...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1977, 1977
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| Edition: | 1st ed. 1977 |
| Series: | Universitext
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1: A Special Case of Fermat’s Conjecture
- 2: Number Fields and Number Rings
- 3: Prime Decomposition in Number Rings
- 4: Galois Theory Applied to Prime Decomposition
- 5: The Ideal Class Group and the Unit Group
- 6: The Distribution of Ideals in a Number Ring
- 7: The Dedekind Zeta Function and the Class Number Formula
- 8: The Distribution of Primes and an Introduction to Class Field Theory
- Appendix 1: Commutative Rings and Ideals
- Appendix 2: Galois Theory for Subfields of C
- Appendix 3: Finite Fields and Rings
- Appendix 4: Two Pages of Primes
- Further Reading
- Index of Theorems
- List of Symbols