A book of abstract algebra
By: Charles C. Pinter.
Edition: 2nd ed.
Series: International series in pure and applied mathematics
Publisher: McGraw-Hill
Published: 1990
Place of publication: New York
Language: eng
Format: Hardcover
Number of pages: 384
ISBN-13: 9780070501386
Copyright date: 1990
Subjects: Algebra, Abstract.
Notes: Includes index.
Table of contents: title: Why abstract algebra?; title: Operations; title: The definition of groups; title: Elementary properties of groups; title: Subgroups; title: Functions; title: Groups of permutations; title: Permutations of a finite set; title: Isomorphism; title: Order of group elements; title: Cyclic groups; title: Partitions and equivalence relations; title: Counting cosets; title: Homomorphisms; title: Quotient groups; title: The fundamental homomorphism theorem; title: Rings: definitions and elementary properties; title: Ideals and homomorphisms; title: Quotient rings; title: Integral domains; title: The integers; title: Factoring into primes; title: Elements of number theory (optional); title: Rings of polynomials; title: Factoring polynomials; title: Substitution in polynomials; title: Extensions of fields; title: Vector spaces; title: Degrees of field extensions; title: Ruler and compass; title: Galois theory: preamble; title: Galoir theory: the heart of the matter; title: Solving equations by radicals; title: Appendixes.; title: Review of set theory; title: Review of the integers; title: Review of mathematical induction; title: Answers to selected exercises