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Visual group theory /

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 demonst...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Carter, Nathan C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Washington, D.C.] : Mathematical Association of America, ©2009.
Colección:Classroom resource materials.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Visual group theory /  |c Nathan C. Carter. 
260 |a [Washington, D.C.] :  |b Mathematical Association of America,  |c ©2009. 
300 |a 1 online resource (xiii, 297 pages) :  |b illustrations (some color) 
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504 |a Includes bibliographical references (pages 285-286) and index. 
505 0 |a 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. 
588 0 |a Print version record. 
520 |a 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.--  |c Provided by publisher. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Group theory. 
650 6 |a Théorie des groupes. 
650 7 |a MATHEMATICS  |x Group Theory.  |2 bisacsh 
650 7 |a Group theory  |2 fast 
650 7 |a Gruppentheorie  |2 gnd 
650 7 |a Gruppe  |x (Math.)  |v Lehrmittel.  |2 idsbb 
655 4 |a Einführung. 
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830 0 |a Classroom resource materials. 
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