First Course in Abstract Algebra

Heftet / 2005 / Engelsk

Produktdetaljer

ISBN13
9780131862678
Publisert
2005
Utgave
3. utgave
Utgiver
Vendor
Pearson
Aldersnivå
06, P
Språk
Product language
Engelsk
Format
Product format
Heftet
Sider
640
Vekt
100 gr
Høyde
100 mm
Bredde
100 mm
Tykkelse
100 mm
Se alle
Forfatter

First Course in Abstract Algebra

Heftet / 2005 / Engelsk
This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each. KEY TOPICS: Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic Congruences; Dates and Days. Groups I: Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. Commutative Rings I: First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. Linear Algebra: Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. Fields: Classical Formulas; Insolvability of the General Quintic; Epilog. Groups II: Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. Commutative Rings III: Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases. MARKET: For all readers interested in abstract algebra.
Les mer
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.
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
Les mer
Nettpris:
1.083,-
Levering 3-20 dager

Produktdetaljer

ISBN13
9780131862678
Publisert
2005
Utgave
3. utgave
Utgiver
Vendor
Pearson
Aldersnivå
06, P
Språk
Product language
Engelsk
Format
Product format
Heftet
Sider
640
Vekt
100 gr
Høyde
100 mm
Bredde
100 mm
Tykkelse
100 mm
Se alle
Forfatter