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Algebra | Thomas W. Hungerford | Buch | Graduate Texts in Mathematics | xxiv - Thomas W. Hungerford
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Thomas W. Hungerford:

Algebra | Thomas W. Hungerford | Buch | Graduate Texts in Mathematics | xxiv - hardcover

1980, ISBN: 0387905189

Titel: Algebra | Medium: Buch | Autor: Thomas W. Hungerford | Einband: Gebunden | Inhalt: xxiv / 504 S. | Auflage: 1. A. (1974), korr. Nachdr. | Sprache: Englisch | Seiten: 504 | Reihe: G… More...

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Algebra - Thomas W. Hungerford
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Thomas W. Hungerford:

Algebra - new book

1974, ISBN: 0387905189

Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a … More...

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Hungerford, TW:
Algebra (Graduate Texts in Mathematics) (Volume 73) - hardcover

1974

ISBN: 9780387905181

Springer, 1974. Volume 73. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In fair condition, suit… More...

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Algebra (Graduate Texts in Mathematics) - Hungerford, Thomas W.
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Hungerford, Thomas W.:
Algebra (Graduate Texts in Mathematics) - hardcover

2003, ISBN: 0387905189

Binding : Gebundene Ausgabe, Edition : 1st ed. 1974. Corr. 5th printing 2003, Label : Springer, Publisher : Springer, NumberOfItems : 1, medium : Gebundene Ausgabe, numberOfPages : 509, p… More...

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Hungerford, Thomas W.:
Algebra (Graduate Texts in Mathematics, 73) - used book

ISBN: 9780387905181

Springer. 8. Good. Good. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported, Springer, 2.5

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Algebra: 73 (Graduate Texts in Mathematics, 73)
Author:
Title:
ISBN:

9780387905181


Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth. TOC:Prerequisites and Preliminaries.- Groups.- The Structure of Groups.- Rings.- Modules.- Fields and Galois Theory.- The Structure of Fields.- Linear Algebra.- Commutative Rings and Modules.- The Structure of Rings.- Categories.

Details of the book - Algebra: 73 (Graduate Texts in Mathematics, 73)


EAN (ISBN-13): 9780387905181
ISBN (ISBN-10): 0387905189
Hardcover
Paperback
Publishing year: 2003
Publisher: Springer
509 Pages
Weight: 0,918 kg
Language: eng/Englisch

Book in our database since 2007-06-05T19:26:11+01:00 (London)
Detail page last modified on 2024-03-29T20:35:14+00:00 (London)
ISBN/EAN: 9780387905181

ISBN - alternate spelling:
0-387-90518-9, 978-0-387-90518-1
Alternate spelling and related search-keywords:
Book author: schreiber, böhmer, kessler, von horn, roberto aloi, eisenschink bernd, troske, bode, burton, mittelholzer walter, thomas hungerford, willy kosak, friedli werner, thomas more, hunger
Book title: apfelsorten, anleitung zum bestimmen der mineralien, algebra graduate texts, alles, ammonites, alpenflug, als die lokomotiven, alpenbahnen, graduate text mathematics, the graduate, springer texts mathematics

Information from Publisher

Author: Thomas W. Hungerford
Title: Graduate Texts in Mathematics; Algebra
Publisher: Springer; Springer US
504 Pages
Publishing year: 1980-12-03
New York; NY; US
Language: English
53,85 € (DE)

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Adjoint functor; Coproduct; Galois theory; algebra; field; finite group; homomorphism; linear algebra; matrices; semigroup; transformation; Algebra; BC

Introduction: Prerequisites and Preliminaries.- 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.

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