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Undergraduate Texts in Mathematics Ser.: Groups and Symmetry by Mark A. Armstrong (1997, Hardcover)

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Groups and Symmetry, Hardcover by Armstrong, M. A., ISBN 0387966757, ISBN-13 9780387966755, Brand New, Free shipping in the US Textbook introduces the vocabulary and some highlights of elementary group theory. Emphasis is placed on concrete examples so that finite rotation groups and the 17 wallpaper groups are treated in detail alongside theoretical results. Over 300 exercises and some 60 illustrations. Annotation copyright Book News, Inc. Portland, Or.

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Product Information

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to 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, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen 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 group actions on trees. There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387966757
ISBN-13
9780387966755
eBay Product ID (ePID)
628815

Product Key Features

Number of Pages
Xi, 187 Pages
Language
English
Publication Name
Groups and Symmetry
Publication Year
1997
Subject
Algebra / Abstract, General
Type
Textbook
Subject Area
Mathematics
Author
Mark A. Armstrong
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.3 in
Item Weight
36.7 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
89-021765
Dewey Edition
19
Reviews
M.A. ArmstrongGroups and Symmetry"This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author's plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed."-MATHEMATICAL REVIEWS, M.A. Armstrong Groups and Symmetry "This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the authora's plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed . "a? MATHEMATICAL REVIEWS, M.A. Armstrong Groups and Symmetry "This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author's plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed."--MATHEMATICAL REVIEWS, M.A. Armstrong Groups and Symmetry "This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author's plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed."-MATHEMATICAL REVIEWS
Number of Volumes
1 Vol.
Illustrated
Yes
Dewey Decimal
512/.2
Lc Classification Number
Qa174-183
Table of Content
1 Symmetries of the Tetrahedron.- 2 Axioms.- 3 Numbers.- 4 Dihedral Groups.- 5 Subgroups and Generators.- 6 Permutations.- 7 Isomorphisms.- 8 Plato's Solids and Cayley's Theorem.- 10 Products.- 11 Lagrange's Theorem.- 12 Partitions.- 13 Cauchy's Theorem.- 14 Conjugacy.- 15 Quotient Groups.- 16 Homomorphisms.- 17 Actions, Orbits, and Stabilizers.- 18 Counting Orbits.- 19 Groups.- 20 The Sylow Theorems.- 21 Finitely Generated Abelian Groups.- 22 Row and Column Operations.- 23 Automorphisms.- 24 The Euclidean Group.- 25 Lattices and Point Groups.- 26 Wallpaper Patterns.- 27 Free Groups and Presentations.- 28 Trees and the Nielsen-Schreier Theorem.
Copyright Date
1988

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item 1 Groups and Symmetry Hardcover Mark A. Armstrong
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item 2 Groups and Symmetry Hardcover Mark A. Armstrong
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item 3 Groups and Symmetry - Hardcover, by Armstrong Mark A. - Acceptable
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item 4 Groups and Symmetry (Undergraduate - Hardcover, by Armstrong Mark A. - Good
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item 5 Groups and Symmetry [Undergraduate Texts in Mathematics]
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Undergraduate Texts in Mathematics Ser.: Groups and Symmetry by Mark A. Armstrong (1997, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

All listings for this product

item 1 Groups and Symmetry Hardcover Mark A. Armstrong

item 2 Groups and Symmetry Hardcover Mark A. Armstrong

item 3 Groups and Symmetry - Hardcover, by Armstrong Mark A. - Acceptable

item 4 Groups and Symmetry (Undergraduate - Hardcover, by Armstrong Mark A. - Good

item 5 Groups and Symmetry [Undergraduate Texts in Mathematics]

item 6 Groups and Symmetry (Undergraduate Texts in Mathematics) - ACCEPTABLE

item 7 Groups and Symmetry by Mark A Armstrong: Used

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