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    Groups and Symmetry (Undergraduate Texts in Mathematics) (Hardback) By (author) Mark A. Armstrong

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    DescriptionThis 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.


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    Title
    Groups and Symmetry
    Authors and contributors
    By (author) Mark A. Armstrong
    Physical properties
    Format: Hardback
    Number of pages: 198
    Width: 160 mm
    Height: 239 mm
    Thickness: 18 mm
    Weight: 454 g
    Language
    English
    ISBN
    ISBN 13: 9780387966755
    ISBN 10: 0387966757
    Classifications

    BIC E4L: MAT
    B&T Book Type: NF
    Nielsen BookScan Product Class 3: S7.9T
    LC subject heading:
    B&T Merchandise Category: TXT
    B&T Modifier: Region of Publication: 01
    B&T Modifier: Academic Level: 01
    B&T General Subject: 710
    Ingram Subject Code: MA
    B&T Modifier: Text Format: 06
    DC22: 515.35
    LC subject heading:
    BISAC V2.8: MAT014000
    LC subject heading:
    BISAC V2.8: MAT007000
    B&T Approval Code: A53250000
    LC subject heading:
    BIC subject category V2: PBG
    LC subject heading: ,
    DC22: 512/.2
    B&T Approval Code: A51353000
    LC classification: QA171 .A76 1988
    LC subject heading: ,
    DC23: 510
    LC classification: QA1-939, QA174-183
    Thema V1.0: PBKJ, PBG
    Edition
    2
    Edition statement
    1st ed. 1988. Corr. 2nd printing 1997
    Illustrations note
    1, black & white illustrations
    Publisher
    Springer-Verlag New York Inc.
    Imprint name
    Springer-Verlag New York Inc.
    Publication date
    01 April 1997
    Publication City/Country
    New York, NY
    Review quote
    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
    Table of contents
    Preface. 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. 9: Matrix Groups. 10: Products. 11: Lagrange's Theorem. 12: Partitions. 13: Cauchy's Theorem. 14: Conjugacy. 15: Quotient Groups. 16: Homomorphisms. 17: Actions, Orbits, and Stabalizers. 18: Counting Orbits. 19: Finite Rotation 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. Bibliography. Index.