Custom cover image
Custom cover image

Number Fields / by Daniel A. Marcus

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Universitext | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer, 2018Edition: Second editionDescription: 1 Online-Ressource (xviii, 203 Seiten) : IllustrationenISBN:
  • 9783319902333
Subject(s): Additional physical formats: 9783319902326 | Erscheint auch als: Number fields. Druck-Ausgabe Second edition. Cham : Springer, 2018. xviii, 203 SeitenDDC classification:
  • 512.7
MSC: MSC: *11-01 | 11Rxx | 11R04 | 11R27 | 11R29 | 11R37 | 11R44RVK: RVK: SK 180LOC classification:
  • QA241-247.5
DOI: DOI: 10.1007/978-3-319-90233-3Online resources: Summary: Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights key arguments. There are several hundred exercises, providing a wealth of both computational and theoretical practice, as well as appendices summarizing the necessary background in algebra. Now in a newly typeset edition including a foreword by Barry Mazur, this highly regarded textbook will continue to provide lecturers and their students with an invaluable resource and a compelling gateway to a beautiful subject. From the reviews: “A thoroughly delightful introduction to algebraic number theory” - Ezra Brown in the Mathematical Reviews “An excellent basis for an introductory graduate course in algebraic number theory” - Harold Edwards in the Bulletin of the American Mathematical SocietySummary: 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 A: Commutative Rings and Ideals -- Appendix B: Galois Theory for Subfields of C -- Appendix C: Finite Fields and Rings -- Appendix D: Two Pages of Primes -- Further Reading -- Index of Theorems -- List of SymbolsPPN: PPN: 102803394XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
No physical items for this record

Reproduktion. (Springer eBook Collection. Mathematics and Statistics)

KIT – The Research University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT