Visual group theory / Nathan C. Carter.

Format:

Book

Author/Creator:

Carter, Nathan C.

Series:

Classroom resource materials (Unnumbered)

Classroom resource materials

Language:

English

Subjects (All):

Group theory.

Physical Description:

1 online resource (0 p.)

Edition:

1st ed.

Place of Publication:

[Washington, D.C.] : Mathematical Association of America, c2009.

Language Note:

English

Summary:

Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Contents:

What is a group?

What do groups look like?

Why study groups?

Algebra at last

Five families

Subgroups

Products and quotients

The power of homomorphisms

Sylow theory

Galois theory

Answers to selected exercises.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 285-286) and indexes.

Description based on print version record.

ISBN:

9781614441021

1-61444-102-2

OCLC:

939263521