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Ray Mines:

A Course in Constructive Algebra - edizione con copertina flessibile

1987, ISBN: 0387966404

[EAN: 9780387966403], Neubuch, [PU: Springer New York Dez 1987], ALGEBRA; GALOISTHEORY; FIELD; MATRICES; MATRIX; TORSION; TRANSFORMATION, This item is printed on demand - it takes 3-4 day… Altro …

NEW BOOK. Costi di spedizione:Versandkostenfrei. (EUR 0.00) BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 4 (von 5)]
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Ray Mines:

A Course in Constructive Algebra - edizione con copertina flessibile

1987, ISBN: 0387966404

[EAN: 9780387966403], Neubuch, [SC: 0.0], [PU: Springer New York], ALGEBRA; GALOIS THEORY; FIELD; MATRICES; MATRIX; TORSION; TRANSFORMATION, Druck auf Anfrage Neuware - Printed after orde… Altro …

NEW BOOK. Costi di spedizione:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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A Course in Constructive Algebra - Ray Mines
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Ray Mines:
A Course in Constructive Algebra - edizione con copertina flessibile

1987

ISBN: 0387966404

[EAN: 9780387966403], Neubuch, [PU: Springer New York], ALGEBRA; GALOIS THEORY; FIELD; MATRICES; MATRIX; TORSION; TRANSFORMATION, Druck auf Anfrage Neuware - Printed after ordering - The … Altro …

NEW BOOK. Costi di spedizione:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Ray Mines:
A Course in Constructive Algebra - edizione con copertina flessibile

2018, ISBN: 9780387966403

[ED: Taschenbuch], [PU: Springer New York], Neuware - The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Fo… Altro …

Costi di spedizione:Versandkostenfrei, Versand nach Deutschland. (EUR 0.00) BuchWeltWeit Inh. Ludwig Meier e.K.
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A Course in Constructive Algebra Ray Mines Author - nuovo libro

ISBN: 9780387966403

The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Foundations of constructiue analysis in 1967, and by the… Altro …

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Dettagli del libro
A Course in Constructive Algebra Ray Mines Author

The constructive approach to mathematics has recently enjoyed a renaissance. This was caused largely by the appearance of Bishop's Foundations of Constructive Analysis, but also by the proliferation of powerful computers, which stimulated the development of constructive algebra for implementation purposes. In this book, the authors present the fundamental structures of modern algebra from a constructive point of view. Beginning with basic notions, the authors proceed to treat PID's, field theory (including Galois theory), factorisation of polynomials, noetherian rings, valuation theory, and Dedekind domains.

Informazioni dettagliate del libro - A Course in Constructive Algebra Ray Mines Author


EAN (ISBN-13): 9780387966403
ISBN (ISBN-10): 0387966404
Copertina flessibile
Anno di pubblicazione: 2007
Editore: Springer New York Core >1 >T
360 Pagine
Peso: 0,533 kg
Lingua: eng/Englisch

Libro nella banca dati dal 2007-04-18T11:55:15+02:00 (Zurich)
Pagina di dettaglio ultima modifica in 2024-03-22T17:08:01+01:00 (Zurich)
ISBN/EAN: 0387966404

ISBN - Stili di scrittura alternativi:
0-387-96640-4, 978-0-387-96640-3
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : mines, richman fred, ray, van der waerden
Titolo del libro: course constructive algebra


Dati dell'editore

Autore: Ray Mines; Fred Richman; Wim Ruitenburg
Titolo: Universitext; A Course in Constructive Algebra
Editore: Springer; Springer US
344 Pagine
Anno di pubblicazione: 1987-12-18
New York; NY; US
Lingua: Inglese
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XI, 344 p. 1 illus.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Galois theory; algebra; field; matrices; matrix; torsion; transformation; Algebra; EA

I. Sets.- 1. Constructive vs. classical mathematics.- 2. Sets, subsets and functions.- 3. Choice.- 4. Categories.- 5. Partially ordered sets and lattices.- 6. Well-founded sets and ordinals.- II. Basic Algebra.- 1. Groups.- 2. Rings and fields.- 3. Real numbers.- 4. Modules.- 5. Polynomial rings.- 6. Matrices and vector spaces.- 7. Determinants.- 8. Symmetric polynomials.- III. Rings And Modules.- 1. Quasi-regular ideals.- 2. Coherent and Noetherian modules.- 3. Localization.- 4. Tensor products.- 5. Flat modules.- 6. Local rings.- 7. Commutative local rings.- IV. Divisibility in Discrete Domains.- 1. Cancellation monoids.- 2. UFD's and Bézout domains.- 3. Dedekind-Hasse rings and Euclidean domains.- 4. Polynomial rings.- V. Principal Ideal Domains.- 1. Diagonalizing matrices.- 2. Finitely presented modules.- 3. Torsion modules, p-components, elementary divisors.- 4. Linear transformations.- VI. Field Theory.- 1. Integral extensions and impotent rings.- 2. Algebraic independence and transcendence bases.- 3. Splitting fields and algebraic closures.- 4. Separability and diagonalizability.- 5. Primitive elements.- 6. Separability and characteristic p.- 7. Perfect fields.- 8. Galois theory.- VII. Factoring Polynomials.- 1. Factorial and separably factorial fields.- 2. Extensions of (separably) factorial fields.- 3. Condition p.- 4. The fundamental theorem of algebra.- VIII. Commutative Noetherian Rings.- 1. The Hilbert basis theorem.- 2. Noether normalization and the Artin-Rees lemma.- 3. The Nullstellensatz.- 4. Tennenbaum' s approach to the Hilbert basis theorem.- 5. Primary ideals.- 6. Localization.- 7. Primary decomposition.- 8. Lasker-Noether rings.- 9. Fully Lasker-Noether rings.- 10. The principal ideal theorem.- IX. Finite Dimensional Algebras.- 1. Representations.- 2. The density theorem.- 3. The radical and summands.- 4. Wedderburn's theorem, part one.- 5. Matrix rings and division algebras.- X. Free Groups.- 1. Existence and uniqueness.- 2. Nielsen sets.- 3.Finitely generated subgroups.- 4. Detachable subgroups of finite-rank free groups.- 5. Conjugate subgroups.- XI. Abelian Groups.- 1. Finite-rank torsion-free groups.- 2. Divisible groups.- 3. Height functions on p-groups.- 4. Ulm's theorem.- 5. Construction of Ulm groups.- XII. Valuation Theory.- 1. Valuations.- 2. Locally precompact valuations.- 3. Pseudofactorial fields.- 4. Normed vector spaces.- 5. Real and complex fields.- 6. Hensel's lemma.- 7. Extensions of valuations.- 8. e and f.- XIII. Dedekind Domains.- 1. Dedekind sets of valuations.- 2. Ideal theory.- 3. Finite extensions.

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