First Course in Abstract Algebra, A

von Joseph Rotman, Joseph J. Rotman

640 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Themen: Mathematik und Naturwissenschaften Mathematik Algebra
• ISBN: 9780131862678
• Sprache: Englisch
• Erscheinungsdatum: 10.10.2024
• Größe: 23.1 x 17.8 cm
• Verlag: Pearson Education Limited