Fundamental Structures of Algebra and Discrete Mathematics

Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.

Spis treści:
Sets.
Ordered Sets.
Groups.
Rings.
Fields.
Vector Spaces.
Graphs.
Lattices.
Matroids.
Topological Spaces.
Universal Algebras.
Categories.
Indexes.