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… Mehr…
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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… Mehr…
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1987, ISBN: 9780387966403
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1987, ISBN: 0387966404
1988 Kartoniert / Broschiert Algebra, Galoistheory; field; Matrices; Matrix; Torsion; Transformation, mit Schutzumschlag 11, [PU:Springer New York; Springer US]
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2013, ISBN: 9780387966403
360 Seiten; Taschenbuch 527432-2 Versandkostenfreie Lieferung Algebra & Zahlentheorie / Naturwissenschaften & Technik / Naturwissenschaften & Technik, [PU:Springer,]
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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… Mehr…
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… Mehr…
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… Mehr…
1987, ISBN: 0387966404
1988 Kartoniert / Broschiert Algebra, Galoistheory; field; Matrices; Matrix; Torsion; Transformation, mit Schutzumschlag 11, [PU:Springer New York; Springer US]
2013, ISBN: 9780387966403
360 Seiten; Taschenbuch 527432-2 Versandkostenfreie Lieferung Algebra & Zahlentheorie / Naturwissenschaften & Technik / Naturwissenschaften & Technik, [PU:Springer,]
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Detailangaben zum Buch - A Course in Constructive Algebra Ray Mines Author
EAN (ISBN-13): 9780387966403
ISBN (ISBN-10): 0387966404
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer New York Core >1 >T
360 Seiten
Gewicht: 0,533 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 2007-04-18T11:55:15+02:00 (Zurich)
Detailseite zuletzt geändert am 2024-02-23T10:54:13+01:00 (Zurich)
ISBN/EAN: 0387966404
ISBN - alternative Schreibweisen:
0-387-96640-4, 978-0-387-96640-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: mines, richman fred, ray, van der waerden
Titel des Buches: course constructive algebra
Daten vom Verlag:
Autor/in: Ray Mines; Fred Richman; Wim Ruitenburg
Titel: Universitext; A Course in Constructive Algebra
Verlag: Springer; Springer US
344 Seiten
Erscheinungsjahr: 1987-12-18
New York; NY; US
Sprache: Englisch
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.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
Neuestes ähnliches Buch:
9781441986405 Course in Constructive Algebra (Ray Mines; Fred Richman; Wim Ruitenburg)
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