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Algebra and Geometry

Algebra and Geometry

Algebra and Geometry

Alan F. Beardon, University of Cambridge
June 2005
Available
Paperback
9780521890496

    This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry including groups of isometries, rotations, and spherical geometry. The emphasis is on the interaction among these topics. The text is divided into short sections, with exercises at the end of each section.

    • Unified approach gives students a better insight into the subjects
    • For ease of use, the text is divided into small chapters with exercises at the end of each
    • Supporting website contains enhanced electronic version of the text

    Reviews & endorsements

    "Beardon has written a fine introductory text...[he] outlines a beautiful course."
    MAA Reviews, Stephen Ahearn

    “Beardon has prepared a book that this reviewer will keep on his shelf as a reference. Highly recommended.”
    Choice

    See more reviews

    Product details

    June 2005
    Paperback
    9780521890496
    336 pages
    229 × 152 × 18 mm
    0.552kg
    40 b/w illus.
    Available

    Table of Contents

    • Preface
    • 1. Groups and permutations
    • 2. The real numbers
    • 3. The complex plane
    • 4. Vectors in three-dimensional space
    • 5. Spherical geometry
    • 6. Quaternions and isometries
    • 7. Vector spaces
    • 8. Linear equations
    • 9. Matrices
    • 10. Eigenvectors
    • 11. Linear maps of Euclidean space
    • 12. Groups
    • 13. Möbius transformations
    • 14. Group actions
    • 15. Hyperbolic geometry
    • Index.
    Resources for
    Type
    Files and Solutions
    Size: 2.94 MB
    Type: application/x-gtar
    Sign inThis resource is locked and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.
      Author
    • Alan F. Beardon , University of Cambridge