Number Fields
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...
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| Hlavný autor: | |
|---|---|
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | English |
| Vydavateľské údaje: |
Cham :
Springer International Publishing,
2018.
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| Vydanie: | 2nd ed. 2018. |
| Edícia: | Universitext,
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| Predmet: | |
| ISBN: | 9783319902333 |
| ISSN: | 0172-5939 |
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|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618101931.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 180705s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319902333 | ||
| 024 | 7 | |a 10.1007/978-3-319-90233-3 |2 doi | |
| 035 | |a CVTIDW12223 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Marcus, Daniel A. |4 aut | |
| 245 | 1 | 0 | |a Number Fields |h [electronic resource] / |c by Daniel A. Marcus. |
| 250 | |a 2nd ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XVIII, 203 p. |b online resource. | ||
| 490 | 1 | |a Universitext, |x 0172-5939 | |
| 500 | |a Mathematics and Statistics | ||
| 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. | |
| 516 | |a text file PDF | ||
| 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. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-90233-3 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE09503 | ||
| 919 | |a 978-3-319-90233-3 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 238783 |d 238783 | ||