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Groups and Symmetry

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 344/5 ( reviews)

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Book Synopsis Groups and Symmetry by : Mark A. Armstrong

Download or read book Groups and Symmetry written by Mark A. Armstrong. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.

Groups and Symmetry

1997-02-27 Mathematics
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Release : 1997-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 755/5 ( reviews)

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Book Synopsis Groups and Symmetry by : Mark A. Armstrong

Download or read book Groups and Symmetry written by Mark A. Armstrong. This book was released on 1997-02-27. Available in PDF, EPUB and Kindle. Book excerpt: This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.

Groups and Symmetry

1988 Mathematics
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Release : 1988
Genre : Mathematics
Kind : eBook
Book Rating : 753/5 ( reviews)

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Book Synopsis Groups and Symmetry by : Mark Anthony Armstrong

Download or read book Groups and Symmetry written by Mark Anthony Armstrong. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Throughout the book, emphasis is placed on concrete examples, often geometrical in nature, so that finite rotation groups and the 17 wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using groups actions on trees. There are more than 300 exercises and approximately 60 illustrations to help develop the student's intuition.

Groups and Symmetry

2021-11-17 Mathematics
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Release : 2021-11-17
Genre : Mathematics
Kind : eBook
Book Rating : 081/5 ( reviews)

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Book Synopsis Groups and Symmetry by : Bijan Davvaz

Download or read book Groups and Symmetry written by Bijan Davvaz. This book was released on 2021-11-17. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow’s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.

Groups and Symmetry: A Guide to Discovering Mathematics

1996 Mathematics
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Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 502/5 ( reviews)

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Book Synopsis Groups and Symmetry: A Guide to Discovering Mathematics by : David W. Farmer

Download or read book Groups and Symmetry: A Guide to Discovering Mathematics written by David W. Farmer. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.

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