* Effective techniques for solving research problems in the real world. * A wealth of exercises illustrating concepts and their practical application. * A clear and concise treatment at an introductory level, tested in university courses. Classical algebraic areas of groups, rings, fields, and vector spaces are bolstered by such topics as ordered sets, monoids, monoid actions, quasigroups, loops, lattices, Boolean algebras, categories, and Heyting algebras. The book broadens the field of study to include algebraic structures and methods used in current and emerging mathematical research, and describes the powerful yet subtle techniques of universal algebra and category theory. Post-Modern Algebra offers a truly up-to-date alternative to the standard approach, explaining topics from an applications-based perspective rather than by abstract principles alone. 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. This volume takes an altogether new approach to advanced algebra. Advanced algebra in the service of contemporary mathematical research- a unique introduction.
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