Joseph Rotman,
Joseph J. Rotman
First Course in Abstract Algebra, A
Paperback Engels 2005 3e druk 9780131862678Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.
Specificaties
ISBN13:9780131862678
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:640
Uitgever:Pearson Education
Druk:3
Thema:
Lezersrecensies
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Inhoudsopgave
Chapter 1: Number Theory
Induction
Binomial Coefficients
Greatest Common Divisors
The Fundamental Theorem of Arithmetic
Congruences
Dates and Days
Chapter 2: Groups I
Some Set Theory
Permutations
Groups
Subgroups and Lagrange's Theorem
Homomorphisms
Quotient Groups
Group Actions
Counting with Groups
Chapter 3: Commutative Rings I
First Properties
Fields
Polynomials
Homomorphisms
Greatest Common Divisors
Unique Factorization
Irreducibility
Quotient Rings and Finite Fields
Officers, Magic, Fertilizer, and Horizons
Chapter 4: Linear Algebra
Vector Spaces
Euclidean Constructions
Linear Transformations
Determinants
Codes
Canonical Forms
Chapter 5: Fields
Classical Formulas
Insolvability of the General Quintic
Epilog
Chapter 6: Groups II
Finite Abelian Groups
The Sylow Theorems
Ornamental Symmetry
Chapter 7: Commutative Rings III
Prime Ideals and Maximal Ideals
Unique Factorization
Noetherian Rings
Varieties
Grobner Bases
Hints for Selected Exercises
Bibliography
Index
Induction
Binomial Coefficients
Greatest Common Divisors
The Fundamental Theorem of Arithmetic
Congruences
Dates and Days
Chapter 2: Groups I
Some Set Theory
Permutations
Groups
Subgroups and Lagrange's Theorem
Homomorphisms
Quotient Groups
Group Actions
Counting with Groups
Chapter 3: Commutative Rings I
First Properties
Fields
Polynomials
Homomorphisms
Greatest Common Divisors
Unique Factorization
Irreducibility
Quotient Rings and Finite Fields
Officers, Magic, Fertilizer, and Horizons
Chapter 4: Linear Algebra
Vector Spaces
Euclidean Constructions
Linear Transformations
Determinants
Codes
Canonical Forms
Chapter 5: Fields
Classical Formulas
Insolvability of the General Quintic
Epilog
Chapter 6: Groups II
Finite Abelian Groups
The Sylow Theorems
Ornamental Symmetry
Chapter 7: Commutative Rings III
Prime Ideals and Maximal Ideals
Unique Factorization
Noetherian Rings
Varieties
Grobner Bases
Hints for Selected Exercises
Bibliography
Index
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