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Viser: Number Fields
Number Fields
Daniel A. Marcus
(1995)
Sprog: Engelsk
Springer
710,00 kr.
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Detaljer om varen
- Paperback: 292 sider
- Udgiver: Springer (April 1995)
- ISBN: 9780387902791
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.
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.
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