Visual Group Theory

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Abstract algebra made beautifully visible

If group theory has ever felt slippery or overly symbolic, this book gives you something to actually see and play with. Readers often love how Cayley diagrams turn intimidating ideas like homomorphisms, quotients, and Sylow theory into patterns that suddenly click. It feels less like grinding through proofs and more like building real intuition for how groups behave.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

Visual Group Theory

Regular price
Unit price
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ISBN: 9780883857571
Authors: Nathan Carter
Date of Publication: 2009-04-09
Format: Hardcover
Related Collections: Science
Related Topics: Education, Mathematics, Computers
Goodreads rating: 4.46
(rated by 92 readers)

Description

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. This book is ideal as a supplement for a first course in group theory or alternatively as recreational reading.
 

Abstract algebra made beautifully visible

If group theory has ever felt slippery or overly symbolic, this book gives you something to actually see and play with. Readers often love how Cayley diagrams turn intimidating ideas like homomorphisms, quotients, and Sylow theory into patterns that suddenly click. It feels less like grinding through proofs and more like building real intuition for how groups behave.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.