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Algebra Vital Source e-bog
Thomas W. Hungerford
(2012)
Algebra Vital Source e-bog
Thomas W. Hungerford
(2012)
Algebra Vital Source e-bog
Thomas W. Hungerford
(2012)
Algebra
Thomas W. Hungerford
(1980)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (December 2012)
- ISBN: 9781461261018
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Detaljer om varen
- Vital Source 90 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2012)
- ISBN: 9781461261018R90
Bookshelf online: 90 dage fra købsdato.
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Detaljer om varen
- Vital Source 180 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2012)
- ISBN: 9781461261018R180
Bookshelf online: 180 dage fra købsdato.
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Detaljer om varen
- 8. Udgave
- Hardback: 528 sider
- Udgiver: Springer New York (December 1980)
- ISBN: 9780387905181
1. Logic.-
2. Sets and Classes.-
3. Functions.-
4. Relations and Partitions.-
5. Products.-
6. The Integers.-
7. The Axiom of Choice, Order and Zorn's Lemma.-
8. Cardinal Numbers.- I: Groups.-
1. Semigroups, Monoids and Groups.-
2. Homomorphisms and Subgroups.-
3. Cyclic Groups.-
4. Cosets and Counting.-
5. Normality, Quotient Groups, and Homomorphisms.-
6. Symmetric, Alternating, and Dihedral Groups.-
7. Categories: Products, Coproducts, and Free Objects.-
8. Direct Products and Direct Sums.-
9. Free Groups, Free Products, Generators & Relations.- II: The Structure of Groups.-
1. Free Abelian Groups.-
2. Finitely Generated Abelian Groups.-
3. The Kruli-Schmidt Theorem.-
4. The Action of a Group on a Set.-
5. The Sylow Theorems.-
6. Classification of Finite Groups.-
7. Nilpotent and Solvable Groups.-
8. Normal and Subnormal Series.- III: Rings.-
1. Rings and Homomorphisms.-
2. Ideals.-
3. Factorization in Commutative Rings.-
4. Rings of Quotients and Localization.-
5. Rings of Polynomials and Formal Power Series.-
6. Factorization in Polynomial Rings.- IV: Modules.-
1. Modules, Homomorphisms and Exact Sequences.-
2. Free Modules and Vector Spaces.-
3. Projective and Injective Modules.-
4. Horn and Duality.-
5. Tensor Products.-
6. Modules over a Principal Ideal Domain.-
7. Algebras.- V: Fields and Galois Theory.-
1. Field Extensions.-
2. The Fundamental Theorem.-
3. Splitting Fields, Algebraic Closure and Normality.-
4. The Galois Group of a Polynomial.-
5. Finite Fields.-
6. Separability.-
7. Cyclic Extensions.-
8. Cyclotomic Extensions.-
9. Radical Extensions.- VI: The Structure of Fields.-
1. Transcendence Bases.-
2. Linear Disjointness and Separability.- VII: Linear Algebra.-
1. Matrices and Maps.-
2. Rank andEquivalence.-
3. Determinants.-
4. Decomposition of a Single Linear Transformation and Similarity.-
5. The Characteristic Polynomial, Eigenvectors and Eigenvalues.- VIII: Commutative Rings and Modules.-
1. Chain Conditions.-
2. Prime and Primary Ideals.-
3. Primary Decomposition.-
4. Noetherian Rings and Modules.-
5. Ring Extensions.-
6. Dedekind Domains.-
7. The Hilbert Nullstellensatz.- IX: The Structure of Rings.-
1. Simple and Primitive Rings.-
2. The Jacobson Radical.-
3. Semisimple Rings.-
4. The Prime Radical; Prime and Semiprime Rings.-
5. Algebras.-
6. Division Algebras.- X: Categories.-
1. Functors and Natural Transformations.-
2. Adjoint Functors.-
3. Morphisms.- List of Symbols.