Algebra Graduate Texts in Mathematics Vol 73 Hungerford 1974 HC Springer

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“Algebra (Graduate Texts in Mathematics, 73). Springer, 1974. Vol. 73. Contains limited markings ”... Read moreabout condition
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eBay item number:116695510160
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Item specifics

Condition
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages. See all condition definitionsopens in a new window or tab
Seller Notes
“Algebra (Graduate Texts in Mathematics, 73). Springer, 1974. Vol. 73. Contains limited markings ...
Country of Origin
United States
Literary Movement
academic writing, formal logic, mathematical exposition, scholarl
Book Title
Algebra (Graduate Texts in Mathematics, 73)
Intended Audience
Adults
Era
1970s, 20th century, 1974
Personalize
No
Book Series
graduate texts in mathematics
Level
Advanced
Ex Libris
No
Educational Level
Adult & Further Education
Topic
Algebra
Features
hardcover, vintage, volume 73
Inscribed
No
Genre
academic nonfiction, instructional nonfiction, mathematics textbo
Personalized
No
Narrative Type
Nonfiction
Edition
1974
Vintage
No
Signed By
NA
Signed
No
Illustrator
NA
ISBN
9780387905181
Category

About this product

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
Author
Thomas W. Hungerford
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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