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The Resource A first course in abstract algebra : rings, groups, and fields, Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA

A first course in abstract algebra : rings, groups, and fields, Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA

Label
A first course in abstract algebra : rings, groups, and fields
Title
A first course in abstract algebra
Title remainder
rings, groups, and fields
Statement of responsibility
Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA
Creator
Contributor
Subject
Language
eng
Summary
Numbers, Polynomials, and Factoring The Natural Numbers The Integers Modular Arithmetic Polynomials with Rational CoefficientsFactorization of PolynomialsSection I in a NutshellRings, Domains, and Fields Rings Subrings and Unity Integral Domains and Fields Ideals Polynomials over a Field Section II in a NutshellRing Homomorphisms and Ideals Ring HomomorphismsThe Kernel Rings of Cosets The Isomorphism Theorem for Rings Maximal and Prime Ideals The Chinese Remainder Theorem Section III in a NutshellGroups Symmetries of Geometric Figures PermutationsAbstract Groups Subgroups Cyclic Groups Section
http://library.link/vocab/creatorDate
1950-
http://library.link/vocab/creatorName
Anderson, Marlow
Dewey number
512/.02
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1951-
http://library.link/vocab/relatedWorkOrContributorName
Feil, Todd
Series statement
Chapman & Hall Book
http://library.link/vocab/subjectName
Algebra, Abstract
Label
A first course in abstract algebra : rings, groups, and fields, Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA
Instantiates
Publication
Copyright
Note
"A CRC title."
Bibliography note
Includes bibliographical references and index
Contents
  • Front Cover; Contents; Preface; Part I: Numbers, Polynomials, and Factoring; Chapter 1: The Natural Numbers; Chapter 2: The Integers; Chapter 3: Modular Arithmetic; Chapter 4: Polynomials with Rational Coefficients; Chapter 5: Factorization of Polynomials; Section I: in a Nutshell; Part II: Rings, Domains, and Fields; Chapter 6: Rings; Chapter 7: Subrings and Unity; Chapter 8: Integral Domains and Fields; Chapter 9: Ideals; Chapter 10: Polynomials over a Field; Section II: in a Nutshell; Part III: Ring Homomorphisms and Ideals; Chapter 11: Ring Homomorphisms; Chapter 12: The Kernel
  • Chapter 13: Rings of CosetsChapter 14: The Isomorphism Theorem for Rings; Chapter 15: Maximal and Prime Ideals; Chapter 16: The Chinese Remainder Theorem; Section III: in a Nutshell; Part IV: Groups; Chapter 17: Symmetries of Geometric Figures; Chapter 18: Permutations; Chapter 19: Abstract Groups; Chapter 20: Subgroups; Chapter 21: Cyclic Groups; Section IV: in a Nutshell; Part V: Group Homomorphisms; Chapter 22: Group Homomorphisms; Chapter 23: Structure and Representation; Chapter 24: Cosets and Lagrange's Theorem; Chapter 25: Groups of Cosets
  • Chapter 26: The Isomorphism Theorem for GroupsSection V: in a Nutshell; Part VI: Topics from Group Theory; Chapter 27: The Alternating Groups; Chapter 28: Sylow Theory: The Preliminaries; Chapter 29: Sylow Theory: The Theorems; Chapter 30: Solvable Groups; Section VI: in a Nutshell; Part VII: Unique Factorization; Chapter 31: Quadratic Extensions of the Integers; Chapter 32: Factorization; Chapter 33: Unique Factorization; Chapter 34: Polynomials with Integer Coefficients; Chapter 35: Euclidean Domains; Section VII: in a Nutshell; Part VIII: Constructibility Problems
  • Chapter 36: Constructions with Compass and StraightedgeChapter 37: Constructibility and Quadratic Field Extensions; Chapter 38: The Impossibility of Certain Constructions; Section VIII: in a Nutshell; Part IX: Vector Spaces and Field Extensions; Chapter 39: Vector Spaces I; Chapter 40: Vector Spaces II; Chapter 41: Field Extensions and Kronecker's Theorem; Chapter 42: Algebraic Field Extensions; Chapter 43: Finite Extensions and Constructibility Revisited; Section IX: in a Nutshell; Part X: Galois Theory; Chapter 44: The Splitting Field; Chapter 45: Finite Fields; Chapter 46: Galois Groups
  • Chapter 47: The Fundamental Theorem of Galois TheoryChapter 48: Solving Polynomials by Radicals; Section X: in a Nutshell; Hints and Solutions; Guide to Notation
Control code
ocn907663195
Dimensions
unknown
Edition
Third edition
Extent
1 online resource
Form of item
online
Isbn
9781482245530
Note
Taylor & Francis
Specific material designation
remote
System control number
(OCoLC)907663195
Label
A first course in abstract algebra : rings, groups, and fields, Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA
Publication
Copyright
Note
"A CRC title."
Bibliography note
Includes bibliographical references and index
Contents
  • Front Cover; Contents; Preface; Part I: Numbers, Polynomials, and Factoring; Chapter 1: The Natural Numbers; Chapter 2: The Integers; Chapter 3: Modular Arithmetic; Chapter 4: Polynomials with Rational Coefficients; Chapter 5: Factorization of Polynomials; Section I: in a Nutshell; Part II: Rings, Domains, and Fields; Chapter 6: Rings; Chapter 7: Subrings and Unity; Chapter 8: Integral Domains and Fields; Chapter 9: Ideals; Chapter 10: Polynomials over a Field; Section II: in a Nutshell; Part III: Ring Homomorphisms and Ideals; Chapter 11: Ring Homomorphisms; Chapter 12: The Kernel
  • Chapter 13: Rings of CosetsChapter 14: The Isomorphism Theorem for Rings; Chapter 15: Maximal and Prime Ideals; Chapter 16: The Chinese Remainder Theorem; Section III: in a Nutshell; Part IV: Groups; Chapter 17: Symmetries of Geometric Figures; Chapter 18: Permutations; Chapter 19: Abstract Groups; Chapter 20: Subgroups; Chapter 21: Cyclic Groups; Section IV: in a Nutshell; Part V: Group Homomorphisms; Chapter 22: Group Homomorphisms; Chapter 23: Structure and Representation; Chapter 24: Cosets and Lagrange's Theorem; Chapter 25: Groups of Cosets
  • Chapter 26: The Isomorphism Theorem for GroupsSection V: in a Nutshell; Part VI: Topics from Group Theory; Chapter 27: The Alternating Groups; Chapter 28: Sylow Theory: The Preliminaries; Chapter 29: Sylow Theory: The Theorems; Chapter 30: Solvable Groups; Section VI: in a Nutshell; Part VII: Unique Factorization; Chapter 31: Quadratic Extensions of the Integers; Chapter 32: Factorization; Chapter 33: Unique Factorization; Chapter 34: Polynomials with Integer Coefficients; Chapter 35: Euclidean Domains; Section VII: in a Nutshell; Part VIII: Constructibility Problems
  • Chapter 36: Constructions with Compass and StraightedgeChapter 37: Constructibility and Quadratic Field Extensions; Chapter 38: The Impossibility of Certain Constructions; Section VIII: in a Nutshell; Part IX: Vector Spaces and Field Extensions; Chapter 39: Vector Spaces I; Chapter 40: Vector Spaces II; Chapter 41: Field Extensions and Kronecker's Theorem; Chapter 42: Algebraic Field Extensions; Chapter 43: Finite Extensions and Constructibility Revisited; Section IX: in a Nutshell; Part X: Galois Theory; Chapter 44: The Splitting Field; Chapter 45: Finite Fields; Chapter 46: Galois Groups
  • Chapter 47: The Fundamental Theorem of Galois TheoryChapter 48: Solving Polynomials by Radicals; Section X: in a Nutshell; Hints and Solutions; Guide to Notation
Control code
ocn907663195
Dimensions
unknown
Edition
Third edition
Extent
1 online resource
Form of item
online
Isbn
9781482245530
Note
Taylor & Francis
Specific material designation
remote
System control number
(OCoLC)907663195

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