A Classical Invitation to Algebraic Numbers and Class Fields

Bibliographic Details
Main Author: Cohn, Harvey
Format: eBook
Language:English
Published: New York, NY Springer New York 1978, 1978
Edition:1st ed. 1978
Series:Universitext
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 01791nmm a2200265 u 4500
001 EB000620812
003 EBX01000000000000000473894
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9781461299509 
100 1 |a Cohn, Harvey 
245 0 0 |a A Classical Invitation to Algebraic Numbers and Class Fields  |h Elektronische Ressource  |c by Harvey Cohn 
250 |a 1st ed. 1978 
260 |a New York, NY  |b Springer New York  |c 1978, 1978 
300 |a 328 p  |b online resource 
505 0 |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 
653 |a Number theory 
653 |a Number Theory 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Universitext 
028 5 0 |a 10.1007/978-1-4612-9950-9 
856 4 0 |u https://doi.org/10.1007/978-1-4612-9950-9?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 512.7