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A Course in Constructive Algebra - Ray Mines
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Ray Mines:

A Course in Constructive Algebra - Pasta blanda

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… Más…

NEW BOOK. Gastos de envío: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 - Pasta blanda

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… Más…

NEW BOOK. Gastos de envío: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 - Pasta blanda

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 … Más…

NEW BOOK. Gastos de envío: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 - Pasta blanda

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… Más…

Gastos de envío: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
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A Course in Constructive Algebra Ray Mines Author - libro nuevo

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… Más…

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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.

Detalles del libro - A Course in Constructive Algebra Ray Mines Author


EAN (ISBN-13): 9780387966403
ISBN (ISBN-10): 0387966404
Tapa blanda
Año de publicación: 2007
Editorial: Springer New York Core >1 >T
360 Páginas
Peso: 0,533 kg
Idioma: eng/Englisch

Libro en la base de datos desde 2007-04-18T04:55:15-05:00 (Mexico City)
Página de detalles modificada por última vez el 2024-03-22T10:08:01-06:00 (Mexico City)
ISBN/EAN: 0387966404

ISBN - escritura alterna:
0-387-96640-4, 978-0-387-96640-3
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: mines, richman fred, ray, van der waerden
Título del libro: course constructive algebra


Datos del la editorial

Autor: Ray Mines; Fred Richman; Wim Ruitenburg
Título: Universitext; A Course in Constructive Algebra
Editorial: Springer; Springer US
344 Páginas
Año de publicación: 1987-12-18
New York; NY; US
Idioma: Inglés
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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