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140122 ||| eng |
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|a 9781461299509
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| 100 |
1 |
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|a Cohn, Harvey
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| 245 |
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|a A Classical Invitation to Algebraic Numbers and Class Fields
|h Elektronische Ressource
|c by Harvey Cohn
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| 250 |
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|a 1st ed. 1978
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| 260 |
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|a New York, NY
|b Springer New York
|c 1978, 1978
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| 300 |
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|a 328 p
|b online resource
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| 505 |
0 |
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|a I. Preliminaries -- 1. Introductory Remarks on Quadratic Forms -- 2. Algebraic Background -- 3. Quadratic Euclidean Rings -- 4. Congruence Classes -- 5. Polynomial Rings -- 6. Dedekind Domains -- 7. Extensions of Dedekind Domains -- 8. Rational and Elliptic Functions -- II. Ideal Structure in Number Fields -- 9. Basis and Discriminant -- 10. Prime Factorization -- 11. Units -- 12. Geometry of Numbers -- 13. Finite Determination of Class Number -- III. Introduction to Class Field Theory -- 14. Quadratic Forms, Rings and Genera -- 15. Ray Class Structure and Fields, Hilbert Class Fields -- 16. Hilbert Sequences -- 17 Discriminant and Conductor -- 18. The Artin Isomorphism -- 19. The Zeta-Function -- Appendices (by Olga Taussky) -- Lectures on Class Field Theory by E. Artin (Göttingen 1932) Notes by O. Taussky -- into Connections Between Algebraic Number Theory and Integral Matrices (Appendix by Olga Taussky) -- Subject Matter Index
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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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| 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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| 028 |
5 |
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|a 10.1007/978-1-4612-9950-9
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| 856 |
4 |
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|u https://doi.org/10.1007/978-1-4612-9950-9?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 512.7
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