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A Course in Constructive Algebra - Ray Mines
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Ray Mines:

A Course in Constructive Algebra - Paperback

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… More...

NEW BOOK. Shipping costs:Versandkostenfrei. (EUR 0.00) BuchWeltWeit Inh. Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 5 (von 5)]
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A Course in Constructive Algebra Ray Mines Author
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A Course in Constructive Algebra Ray Mines Author - new book

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… More...

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Mines, Ray, Richman, Fred, Ruitenburg, Wim:
A Course in Constructive Algebra (Universitext) - Paperback

1987

ISBN: 9780387966403

Springer, 1987. *Price HAS BEEN REDUCED by 10% until Monday, Oct. 16 (weekend sale)* 355 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our sto… More...

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A Course in Constructive Algebra - Mines, Ray; Ruitenburg, Wim; Richman, Fred
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Mines, Ray; Ruitenburg, Wim; Richman, Fred:
A Course in Constructive Algebra - new book

1987, ISBN: 0387966404

1988 Kartoniert / Broschiert Algebra, Galoistheory; field; Matrices; Matrix; Torsion; Transformation, mit Schutzumschlag 11, [PU:Springer New York; Springer US]

Shipping costs:Versandkostenfrei innerhalb der BRD. (EUR 0.00) MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien
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A Course in Constructive Algebra (Universitext) - Mines, Ray
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Mines, Ray:
A Course in Constructive Algebra (Universitext) - Paperback

2013, ISBN: 9780387966403

360 Seiten; Taschenbuch 527432-2 Versandkostenfreie Lieferung Algebra & Zahlentheorie / Naturwissenschaften & Technik / Naturwissenschaften & Technik, [PU:Springer,]

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Details of the book
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.

Details of the book - A Course in Constructive Algebra Ray Mines Author


EAN (ISBN-13): 9780387966403
ISBN (ISBN-10): 0387966404
Paperback
Publishing year: 2007
Publisher: Springer New York Core >1 >T
360 Pages
Weight: 0,533 kg
Language: eng/Englisch

Book in our database since 2007-04-18T05:55:15-04:00 (New York)
Detail page last modified on 2024-02-23T04:54:13-05:00 (New York)
ISBN/EAN: 0387966404

ISBN - alternate spelling:
0-387-96640-4, 978-0-387-96640-3
Alternate spelling and related search-keywords:
Book author: mines, richman fred, ray, van der waerden
Book title: course constructive algebra


Information from Publisher

Author: Ray Mines; Fred Richman; Wim Ruitenburg
Title: Universitext; A Course in Constructive Algebra
Publisher: Springer; Springer US
344 Pages
Publishing year: 1987-12-18
New York; NY; US
Weight: 1,120 kg
Language: English
96,29 € (DE)
98,99 € (AT)
106,50 CHF (CH)
POD
XI, 344 p. 1 illus.

BC; Algebra; 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.- Notes.- 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.- Notes.- 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.- Notes.- IV. Divisibility in Discrete Domains.- 1. Cancellation monoids.- 2. UFD's and Bézout domains.- 3. Dedekind-Hasse rings and Euclidean domains.- 4. Polynomial rings.- Notes.- V. Principal Ideal Domains.- 1. Diagonalizing matrices.- 2. Finitely presented modules.- 3. Torsion modules, p-components, elementary divisors.- 4. Linear transformations.- Notes.- 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.- Notes.- VII. Factoring Polynomials.- 1. Factorial and separably factorial fields.- 2. Extensions of (separably) factorial fields.- 3. Condition p.- 4. The fundamental theorem of algebra.- Notes.- 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.- Notes.- 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.- Notes.- 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.- Notes.- 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.- Notes.- 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.- Notes.- XIII. Dedekind Domains.- 1. Dedekind sets of valuations.- 2. Ideal theory.- 3. Finite extensions.

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Latest similar book:
9781441986405 Course in Constructive Algebra (Ray Mines; Fred Richman; Wim Ruitenburg)


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