Description
Book SynopsisAdvanced algebra in the service of contemporary mathematical research-- a unique introduction. This volume takes an altogether new approach to advanced algebra. Its intriguing title, inspired by the term postmodernism, denotes a departure from van der Waerden's Modern Algebra--a book that has dominated the field for nearly seventy years.
Trade ReviewI found this an interesting book to read, and feel that anyone whoworks though it and works all the exercises, will obtain anexcellent grounding in algebraic concepts, praticularly those whichhave practical applications.(Zentralblatt Math, Volume 946, No 21,2000)
"...an interesting book anyone who works the exercises will obtainan excellent grounding algebraic concepts..." (Zentralblatt MATH,Vol. 946, No. 21)
Table of ContentsModern and Post-Modern Algebra.
Algebra: The Central Discipline of Mathematics.
Sets with Structure and Sets Without Structure.
Semigroups and Monoids.
GROUP AND QUASIGROUPS.
Monoid Actions.
Groups and Quasigroups.
Symmetry.
Loops, Nets and Isotopy.
LINEAR ALGEBRA.
General Algebra and Linear Algebra.
Vector Spaces and Modules.
Commutative Algebra.
CATEGORIES AND LATTICES.
Posets, Monoids and Categories.
Limits and Lattices.
Adjoint Functors.
UNIVERSAL ALGEBRA.
Sets with Operations.
Varieties.
Algebraic Theories.
Monads.
Index.
