Number Fields. 2nd ed. 2018
- 種類:
- 電子ブック
- 責任表示:
- by Daniel A. Marcus
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2018
- 著者名:
- シリーズ名:
- Universitext ;
- ISBN:
- 9783319902333 [3319902334]
- 注記:
- 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.
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. - ローカル注記:
- 学内専用E-BOOKS (local access only)
類似資料:
Springer-Verlag Berlin Heidelberg |
Springer-Verlag Berlin Heidelberg |
Springer New York |
Birkhäuser Boston |
Springer Science+Business Media, Inc. |
Birkhäuser Boston |
Springer International Publishing : Imprint: Springer |
Springer Science+Business Media, LLC |
Springer Science+Business Media, Inc. |
Springer Berlin Heidelberg |
Springer-Verlag Berlin Heidelberg |
Springer Berlin Heidelberg : Imprint: Springer |