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Number fields

Author: Daniel A Marcus
Publisher: Cham, Switzerland : Springer, 2018.
Series: Universitext
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Marcus, Daniel A., 1945-
Number fields.
Cham, Switzerland : Springer, 2018
(OCoLC)1029447664
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Daniel A Marcus
ISBN: 9783319902333 3319902334
OCLC Number: 1044745839
Description: 1 online resource (xviii, 203 pages)
Contents: 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 Symbols.
Series Title: Universitext
Responsibility: Daniel A. Marcus.

Abstract:

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and  Read more...

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"It is well structured and gives the reader lots of motivation to learn more about the subject. It is one of the rare books which can help students to learn new stuff by themselves by solving the Read more...

 
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