Algebra by Thomas W. Hungerford (1980, Hardcover, Good)
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Algebra by Thomas W. Hungerford (1980, Hardcover, Good)
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Standort: Somerville, Massachusetts, USA
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eBay-Artikelnr.:116530513953
Artikelmerkmale
- Artikelzustand
- ISBN
- 9780387905181
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
0387905189
ISBN-13
9780387905181
eBay Product ID (ePID)
156930
Product Key Features
Number of Pages
Xxiv, 504 Pages
Publication Name
Algebra
Language
English
Subject
Algebra / General
Publication Year
1980
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.4 in
Item Weight
35.9 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
8
Intended Audience
Scholarly & Professional
LCCN
96-214823
Dewey Edition
21
Reviews
Thomas W. HungerfordAlgebra"An excellent text from which to teach the beginning graduate survey course in algebra and I would recommend it to anyone considering a text for such a course."-LINEAR AND MULTILINEAR ALGEBRA, Thomas W. Hungerford Algebra "An excellent text from which to teach the beginning graduate survey course in algebra and I would recommend it to anyone considering a text for such a course."--LINEAR AND MULTILINEAR ALGEBRA, Thomas W. Hungerford Algebra "An excellent text from which to teach the beginning graduate survey course in algebra and I would recommend it to anyone considering a text for such a course."a? LINEAR AND MULTILINEAR ALGEBRA
Series Volume Number
73
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512/.02
Table Of Content
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.
Synopsis
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., Here is a self-contained, one volume, graduate level algebra text that is readable by the average student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises., "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 accommodate a wide variety of instructors and course contents. It contains an unusually large number of illustrative exercises.
LC Classification Number
QA150-272
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- w***h (58)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe seller quickly sent me an extra photo of this book after my request. Book in very good shape, sturdy packaging, and fast shipping! Great seller!
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- t***r (82)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufBook arrived in excellent packaging, exactly as described. Thank you!Hacker's Delight by Henry S. Warren Jr. (2002, Hardcover, Very Good) (Nr. 116586696025)
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