|
|
|
|
LEADER |
03240nam a2200469 4500 |
001 |
978-3-319-90233-3 |
003 |
DE-He213 |
005 |
20180829132326.0 |
007 |
cr nn 008mamaa |
008 |
180705s2018 gw | s |||| 0|eng d |
020 |
|
|
|a 9783319902333
|9 978-3-319-90233-3
|
024 |
7 |
|
|a 10.1007/978-3-319-90233-3
|2 doi
|
040 |
|
|
|d GrThAP
|
050 |
|
4 |
|a QA241-247.5
|
072 |
|
7 |
|a PBH
|2 bicssc
|
072 |
|
7 |
|a MAT022000
|2 bisacsh
|
072 |
|
7 |
|a PBH
|2 thema
|
082 |
0 |
4 |
|a 512.7
|2 23
|
100 |
1 |
|
|a Marcus, Daniel A.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
245 |
1 |
0 |
|a Number Fields
|h [electronic resource] /
|c by Daniel A. Marcus.
|
250 |
|
|
|a 2nd ed. 2018.
|
264 |
|
1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2018.
|
300 |
|
|
|a XVIII, 203 p.
|b online resource.
|
336 |
|
|
|a text
|b txt
|2 rdacontent
|
337 |
|
|
|a computer
|b c
|2 rdamedia
|
338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
347 |
|
|
|a text file
|b PDF
|2 rda
|
490 |
1 |
|
|a Universitext,
|x 0172-5939
|
505 |
0 |
|
|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 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.
|
520 |
|
|
|a 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 Society.
|
650 |
|
0 |
|a Number theory.
|
650 |
|
0 |
|a Algebra.
|
650 |
1 |
4 |
|a Number Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M25001
|
650 |
2 |
4 |
|a Algebra.
|0 http://scigraph.springernature.com/things/product-market-codes/M11000
|
710 |
2 |
|
|a SpringerLink (Online service)
|
773 |
0 |
|
|t Springer eBooks
|
776 |
0 |
8 |
|i Printed edition:
|z 9783319902326
|
776 |
0 |
8 |
|i Printed edition:
|z 9783319902340
|
830 |
|
0 |
|a Universitext,
|x 0172-5939
|
856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-90233-3
|z Full Text via HEAL-Link
|
912 |
|
|
|a ZDB-2-SMA
|
950 |
|
|
|a Mathematics and Statistics (Springer-11649)
|