Visual group theory

by Carter, Nathan C.

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Visual group theory / Nathan C. Carter.

Summary

This text approaches the learning of group theory visually. It allows the student to see groups, experiment with groups and understand their significance. It brings 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. Opening chapters anchor the reader's intuitions with puzzles and symmetrical objects, defining groups as collections of actions. This approach gives early access to Cayley diagrams, the visualization technique central to the book, due to its unique ability to make group structure visually evident.--

Edition Statements

Publication Date:©2009.

Publication Statements

Publisher(s):Mathematical Association of America
Place of Publication:Washington, D.C
Language:eng
Publication Date:©2009.

The Physical Object

Description:1 online resource (xiii, 297 pages) : : illustrations (some color)

Edition Identifiers

ISBN:9781614441021, 1614441022
oclc:ocn793206396
LC Classification:QA172.4
Dewey Decimal:512.2

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.