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
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The item A first course in abstract algebra : rings, groups, and fields, Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.This item is available to borrow from 1 library branch.
Resource Information
The item A first course in abstract algebra : rings, groups, and fields, Marlow Anderson, Colorado College, Colorado Springs, USA, Todd Feil, Denison University, Granville, Ohio, USA represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Edition
 Third edition
 Extent
 1 online resource
 Note
 "A CRC title."
 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
 Isbn
 9781482245530
 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
 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
 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
 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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