Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Long-considered one of the best-written titles on the subject, this text is aimed at the abstract or modern algebra course taken by junior and senior math majors and many secondary math education majors.
A BOOK OF ABSTRACT ALGEBRA
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.
Theorem 4.15.1 immediately yields the result that gn is irreducible over F(u1, . . . , an) (which is clearly equal to F(s1, . . . , sn)), and that G(E/F(u1, . . . , un)) is isomorphic to Sn. Since {t1,..., tn} is a transcendence set ...
This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields.
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index.
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks.
A. R. Wadsworth. 82 A. R. Wadsworth, Problems in Abstract Algebra, 2017 80 Matt DeVos and Deborah A. Kent, Game Theory, 2016 79 Kristopher Tapp, Matrix Groups for Undergraduates, Second Edition, 2016 78 Gail S. Nelson, A User-Friendly ...
... within a 4 x 4 square matrix : 2 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 a 0 0 0 0 0 0 0 10 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 10 0 a 1 0 0 0 1 0 0 0 1 0 0 0 2 The Jordan canonical form clarifies the difference ...