ISBN: 9780387406244
...This beautiful and eloquent text served to transform the graduate teaching of algebra, not only in Germany, but elsewhere in Europe and the United States. It formulated clearly and suc… Meer...
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2013, ISBN: 9780387406244
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Springer, Taschenbuch, Auflage: 1st ed. 1991. 2nd printing 2003, 280 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 12355507, 1.94 kg, Verkaufsrang: 342577… Meer...
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2003, ISBN: 9780387406244
[ED: Kartoniert / Broschiert], [PU: Springer New York], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Based in part on lectures by E. Ar… Meer...
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2003, ISBN: 0387406247
1st ed. 1991. 2nd printing 2003 Kartoniert / Broschiert Algebra, mit Schutzumschlag 11, [PU:Springer New York; Springer US]
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ISBN: 9780387406244
...This beautiful and eloquent text served to transform the graduate teaching of algebra, not only in Germany, but elsewhere in Europe and the United States. It formulated clearly and suc… Meer...
2013, ISBN: 9780387406244
pocketboek
Springer, Taschenbuch, Auflage: 1st ed. 1991. 2nd printing 2003, 280 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 12355507, 1.94 kg, Verkaufsrang: 342577… Meer...
2003
ISBN: 9780387406244
[ED: Kartoniert / Broschiert], [PU: Springer New York], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Based in part on lectures by E. Ar… Meer...
2003, ISBN: 0387406247
1st ed. 1991. 2nd printing 2003 Kartoniert / Broschiert Algebra, mit Schutzumschlag 11, [PU:Springer New York; Springer US]
ISBN: 9780387406244
paperback, [PU: Springer]
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Gedetalleerde informatie over het boek. - Algebra: Volume I
EAN (ISBN-13): 9780387406244
ISBN (ISBN-10): 0387406247
Gebonden uitgave
pocket book
Verschijningsjaar: 2004
Uitgever: Springer
265 Bladzijden
Gewicht: 0,423 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2007-03-09T04:47:02+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-03-05T14:13:59+01:00 (Amsterdam)
ISBN/EAN: 0387406247
ISBN - alternatieve schrijfwijzen:
0-387-40624-7, 978-0-387-40624-4
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: blum, schule, arti, artin, der bär, algebra, schulenberg, van der waerden bartel leendert, anonym, bart van, emmy noether
Titel van het boek: algebra modern, van der waerden, algebra eins, bartel
Gegevens van de uitgever
Auteur: B.L. van der Waerden
Titel: Algebra - Volume I
Uitgeverij: Springer; Springer US
265 Bladzijden
Verschijningsjaar: 2003-10-21
New York; NY; US
Gewicht: 0,880 kg
Taal: Engels
65,99 € (DE)
BC; Algebra; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Algebra
1 Numbers and Sets.- 1.1 Sets.- 1.2 Mappings. Cardinality.- 1.3 The Number Sequence.- 1.4 Finite and Countable (Denumerable) Sets.- 1.5 Partitions.- 2 Groups.- 2.1 The Concept of a Group.- 2.2 Subgroups.- 2.3 Complexes. Cosets.- 2.4 Isomorphisms and Automorphisms.- 2.5 Homomorphisms, Normal Subgroups, and Factor Groups.- 3 Rings and Fields.- 3.1 Rings.- 3.2 Homomorphism and Isomorphism.- 3.3 The Concept of a Field of Quotients.- 3.4 Polynomial Rings.- 3.5 Ideals. Residue Class Rings.- 3.6 Divisibility. Prime Ideals.- 3.7 Euclidean Rings and Principal Ideal Rings.- 3.8 Factorization.- 4 Vector Spaces and Tensor Spaces.- 4.1 Vector Spaces.- 4.2 Dimensional Invariance.- 4.3 The Dual Vector Space.- 4.4 Linear Equations in a Skew Field.- 4.5 Linear Transformations.- 4.6 Tensors.- 4.7 Antisymmetric Multilinear Forms and Determinants.- 4.8 Tensor Products, Contraction, and Trace.- 5 Polynomials.- 5.1 Differentiation.- 5.2 The Zeros of a Polynomial.- 5.3 Interpolation Formulae.- 5.4 Factorization.- 5.5 Irreducibility Criteria.- 5.6 Factorization in a Finite Number of Steps.- 5.7 Symmetric Functions.- 5.8 The Resultant of Two Polynomials.- 5.9 The Resultant as a Symmetric Function of the Roots.- 5.10 Partial Fraction Decomposition.- 6 Theory of Fields.- 6.1 Subfields. Prime Fields.- 6.2 Adjunction.- 6.3 Simple Field Extensions.- 6.4 Finite Field Extensions.- 6.5 Algebraic Field Extensions.- 6.6 Roots of Unity.- 6.7 Galois Fields (Finite Commutative Fields).- 6.8 Separable and Inseparable Extensions.- 6.9 Perfect and Imperfect Fields.- 6.10 Simplicity of Algebraic Extensions. Theorem on the Primitive Element.- 6.11 Norms and Traces.- 7 Continuation of Group Theory.- 7.1 Groups with Operators.- 7.2 Operator Isomorphisms and Operator Homomorphisms.- 7.1 The Two Laws of Isomorphism.- 7.4 Normal Series and Composition Series.- 7.5 Groups of Order pn.- 7.6 Direct Products.- 7.7 Group Characters.- 7.8 Simplicity of the Alternating Group.- 7.9 Transitivity and Primitivity.- 8 The Galois Theory.- 8.1 The Galois Group.- 8.2 The Fundamental Theorem of the Galois Theory.- 8.3 Conjugate Groups, Conjugate Fields, and Elements.- 8.4 Cyclotomic Fields.- 8.5 Cyclic Fields and Pure Equations.- 8.6 Solution of Equations by Radicals.- 8.7 The General Equation of Degree n.- 8.8 Equations of the Second, Third, and Fourth Degrees.- 8.9 Constructions with Ruler and Compass.- 8.10 Calculation of the Galois Group. Equations with a Symmetric Group.- 8.11 Normal Bases.- 9 Ordering and Well Ordering of Sets.- 9.1 Ordered Sets.- 9.2 The Axiom of Choice and Zorn’s Lemma.- 9.3 The Well-Ordering Theorem.- 9.4 Transfinite Induction.- 10 Infinite Field Extensions.- 10.1 Algebraically Closed Fields.- 10.2 Simple Transcendental Extensions.- 10.3 Algebraic Dependence and Independence.- 10.4 The Degree of Transcendency.- 10.5 Differentiation of Algebraic Functions.- 11 Real Fields.- 11.1 Ordered Fields.- 11.2 Definition of the Real Numbers.- 11.3 Zeros of Real Functions.- 11.4 The Field of Complex Numbers.- 11.5 Algebraic Theory of Real Fields.- 11.6 Existence Theorems for Formally Real Fields.- 11.7 Sums of Squares.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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