First Course in Abstract Algebra, A

Häftad, Engelska, 2005

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2005-12-12
Mått:176 x 234 x 36 mm
Vikt:1 080 g
Format:Häftad
Språk:Engelska
Antal sidor:640
Upplaga:3
Förlag:Pearson Education
ISBN:9780131862678

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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