The Theory of Classical Valuations: Springer Monographs in Mathematics
Autor Paulo Ribenboimen Limba Engleză Hardback – 21 mai 1999
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 646.43 lei 6-8 săpt. | |
Springer – 4 oct 2012 | 646.43 lei 6-8 săpt. | |
Hardback (1) | 650.04 lei 6-8 săpt. | |
Springer – 21 mai 1999 | 650.04 lei 6-8 săpt. |
Din seria Springer Monographs in Mathematics
- Preț: 252.65 lei
- 18% Preț: 753.21 lei
- 24% Preț: 777.43 lei
- 20% Preț: 758.01 lei
- 18% Preț: 969.93 lei
- 20% Preț: 574.69 lei
- 20% Preț: 818.27 lei
- 24% Preț: 740.02 lei
- 15% Preț: 607.33 lei
- 24% Preț: 1598.57 lei
- Preț: 614.96 lei
- 18% Preț: 793.14 lei
- Preț: 396.40 lei
- 15% Preț: 650.86 lei
- 18% Preț: 1236.19 lei
- 15% Preț: 499.77 lei
- Preț: 391.61 lei
- 18% Preț: 1404.30 lei
- 18% Preț: 797.24 lei
- 18% Preț: 916.25 lei
- Preț: 397.01 lei
- 15% Preț: 657.25 lei
- 15% Preț: 467.79 lei
- 15% Preț: 648.05 lei
- Preț: 406.25 lei
- Preț: 389.88 lei
- 15% Preț: 649.54 lei
- 15% Preț: 581.14 lei
- 15% Preț: 643.48 lei
- 15% Preț: 647.73 lei
- 18% Preț: 902.55 lei
- 15% Preț: 653.33 lei
- 18% Preț: 901.88 lei
- 18% Preț: 907.27 lei
- 18% Preț: 893.53 lei
- 15% Preț: 659.53 lei
- 18% Preț: 802.28 lei
- 15% Preț: 661.32 lei
- 15% Preț: 646.62 lei
- Preț: 384.48 lei
- 15% Preț: 704.36 lei
- 18% Preț: 1248.20 lei
- Preț: 409.13 lei
- 18% Preț: 1031.17 lei
- 18% Preț: 986.01 lei
- 15% Preț: 640.37 lei
- 15% Preț: 643.34 lei
- Preț: 388.72 lei
- 18% Preț: 965.34 lei
- 15% Preț: 648.89 lei
Preț: 650.04 lei
Preț vechi: 764.76 lei
-15% Nou
Puncte Express: 975
Preț estimativ în valută:
124.41€ • 129.54$ • 105.14£
124.41€ • 129.54$ • 105.14£
Carte tipărită la comandă
Livrare economică 10-24 martie
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9780387985251
ISBN-10: 0387985255
Pagini: 403
Ilustrații: XI, 403 p.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.69 kg
Ediția:1999
Editura: Springer
Colecția Springer
Seria Springer Monographs in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 0387985255
Pagini: 403
Ilustrații: XI, 403 p.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.69 kg
Ediția:1999
Editura: Springer
Colecția Springer
Seria Springer Monographs in Mathematics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Absolute Values of Fields.- 1.1. First Examples.- 1.2. Generalities About Absolute Values of a Field.- 1.3. Absolute Values of Q.- 1.4. The Independence of Absolute Values.- 1.5. The Topology of Valued Fields.- 1.6. Archimedean Absolute Values.- 1.7. Topological Characterizations of Valued Fields.- 2 Valuations of a Field.- 2.1. Generalities About Valuations of a Field.- 2.2. Complete Valued Fields and Qp.- 3 Polynomials and Henselian Valued Fields.- 3.1. Polynomials over Valued Fields.- 3.2. Henselian Valued Fields.- 4 Extensions of Valuations.- 4.1. Existence of Extensions and General Results.- 4.2. The Set of Extensions of a Valuation.- 5 Uniqueness of Extensions of Valuations and Poly-Complete Fields.- 5.1. Uniqueness of Extensions.- 5.2. Poly-Complete Fields.- 6 Extensions of Valuations: Numerical Relations.- 6.1. Numerical Relations for Valuations with Unique Extension.- 6.2. Numerical Relations in the General Case.- 6.3. Some Interesting Examples.- 6.4. Appendix on p-Groups.- 7 Power Series and the Structure of Complete Valued Fields.- 7.1. Power Series.- 7.2. Structure of Complete Discrete Valued Fields.- 8 Decomposition and Inertia Theory.- 8.1. Decomposition Theory.- 8.2. Inertia Theory.- 9 Ramification Theory.- 9.1. Lower Ramification Theory.- 9.2. Higher Ramification.- 10 Valuation Characterizations of Dedekind Domains.- 10.1. Valuation Properties of the Rings of Algebraic Integers.- 10.2. Characterizations of Dedekind Domains.- 10.3. Characterizations of Valuation Domains.- 11 Galois Groups of Algebraic Extensions of Infinite Degree.- 11.1. Galois Extensions of Infinite Degree.- 11.2. The Abelian Closure of Q.- 12 Ideals, Valuations, and Divisors in Algebraic Extensions of Infinite Degree over Q.- 12.1. Ideals.- 12.2. Valuations, Dedekind Domains, and Examples.- 12.3. Divisors of Algebraic Number Fields of Infinite Degree.- 13 A Glimpse of Krull Valuations.- 13.1. Generalities.- 13.2. Integrally Closed Domains.- 13.3. Suggestions for Further Study.- Appendix Commutative Fields and Characters of Finite Abelian Groups.- A.1. Algebraic Elements.- A.2. Algebraic Elements, Algebraically Closed Fields.- A.3. Algebraic Number Fields.- A.4. Characteristic and Prime Fields.- A.5. Normal Extensions and Splitting Fields.- A.6. Separable Extensions.- A.7. Galois Extensions.- A.8. Roots of Unity.- A.9. Finite Fields.- A.10. Trace and Norm of Elements.- A.11. The Discriminant.- A.12. Discriminant and Resultant of Polynomials.- A.13. Inseparable Extensions.- A.14. Perfect Fields.- A.15. The Theorem of Steinitz.- A.16. Orderable Fields.- A.17. The Theorem of Artin.- A.18. Characters of Finite Abelian Groups.
Recenzii
"It is well written, encyclopedic, and authoritative and probably belongs on the shelf of any commutative algebraist or algebraic number theorist."--MATHEMATICAL REVIEWS
Caracteristici
Area of great interest where there is no book to serve as a first introduction to the topic * Fully up-to-date as the author draws upon his long-standing experience * Ribenboim has written other successful Springer titles * Fills a niche in the literature and will serve as the ultimate resource on the subject