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＜電子ブック＞
Number Fields / by Daniel A. Marcus
(Universitext. ISSN:21916675)

版	1st ed. 1977.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1977
大きさ	292 p. 1 illus : online resource
著者標目	*Marcus, Daniel A author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Algebra FREE:Number Theory FREE:Algebra
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4684-9356-6

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