Fundamental Structures of Algebra and Discrete Mathematics

ISBN-13: 9780471571803 / Angielski / Twarda / 1994 / 344 str.

Stephen Foldes

Opis

This is a monograph on the algebraic notion of structure, referring to a structure resulting from either combining elementary objects of some kind, other objects of a similar kind, or from comparing numbers by magnitude. The author presents a basic theory of groups and rings, and other algebraic structures. This self-contained material constitutes an introduction to, and clarification of, the basic theories of the 12 kinds of structures and describes interrelationships between particular theories.

Spis treści

Sets.

Ordered Sets.

Groups.

Rings.

Fields.

Vector Spaces.

Graphs.

Lattices.

Matroids.

Topological Spaces.

Universal Algebras.

Categories.

Indexes.