Post-modern algebra

Post-modern algebra [electronic resource] / Jonathan D.H. Smith, Anna B. Romanowska.

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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 - it book that has dominated the field for nearly seventy years. Post-Modern Algebra offers a truly up-to-date al...

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Bibliographic Details
Online Access: Full Text (via Wiley)
Main Author: Smith, Jonathan D. H., 1949-
Other Authors: Romanowska, A. B. (Anna B.)
Format: Electronic eBook
Language:English
Published: New York : Wiley, ©1999.
Series:Pure and applied mathematics (John Wiley & Sons : Unnumbered)
Subjects:
Algebra.
Table of Contents:
  • Front Matter
  • Introduction
  • Groups and Quasigroups
  • Linear Algebra
  • Categories and Lattices
  • Universal Algebra
  • Index
  • Pure and Applied Mathematics.
  • 0. Introduction. 1. Modern and Post-Modern Algebra. 2. Algebra: The Central Discipline of Mathematics. 3. Sets with Structure and Sets without Structure. 4. Semigroups and Monoids
  • I. Groups and Quasigroups. 1. Monoid Actions. 2. Groups and Quasigroups. 3. Symmetry. 4. Loops, Nets and Isotopy
  • II. Linear Algebra. 1. General Algebra and Linear Algebra. 2. Vector Spaces and Modules. 3. Commutative Algebra
  • III. Categories and Lattices. 1. Posets, Monoids and Categories. 2. Limits and Lattices. 3. Adjoint Functors
  • IV. Universal Algebra. 1. Sets with Operations. 2. Varieties. 3. Algebraic Theories. 4. Monads.

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