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Groups and Symmetry

1991 Mathematics
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Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 642/5 ( reviews)

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Book Synopsis Groups and Symmetry by : David W. Farmer

Download or read book Groups and Symmetry written by David W. Farmer. This book was released on 1991. 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.

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.

Knots and Surfaces

1996 Mathematics
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Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 510/5 ( reviews)

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Book Synopsis Knots and Surfaces by : David W. Farmer

Download or read book Knots and Surfaces written by David W. Farmer. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.

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

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.

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