Number Fields / by Daniel A. Marcus
(Universitext)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 1977 |
| 本文言語 | 英語 |
| 大きさ | 292 p. 1 illus : online resource |
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| 内容注記 | 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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| 一般注記 | 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. Readers are assumed to be able to fill in the details, which in many places are left as exercises |
| 著者標目 | *Marcus, Daniel A. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebra LCSH:Number theory FREE:Mathematics FREE:Number Theory FREE:Algebra |
| 分 類 | DC23:512.7 |
| 巻冊次 | ISBN:9781468493566 
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| ISBN | 9781468493566 |
| URL | http://dx.doi.org/10.1007/978-1-4684-9356-6 |
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