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140122 ||| eng |
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|a 9781468493566
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| 100 |
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|a Marcus, Daniel A.
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| 245 |
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|a Number Fields
|h Elektronische Ressource
|c by Daniel A. Marcus
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| 250 |
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|a 1st ed. 1977
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| 260 |
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|a New York, NY
|b Springer New York
|c 1977, 1977
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| 300 |
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|a 292 p. 1 illus
|b online resource
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| 505 |
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|a 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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| 653 |
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|a Number theory
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| 653 |
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|a Number Theory
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| 653 |
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|a Algebra
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| 653 |
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|a Algebra
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Universitext
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| 856 |
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|u https://doi.org/10.1007/978-1-4684-9356-6?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 512.7
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| 520 |
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|a 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
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