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Algebra and Geometry

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textbook
  • Date Published: June 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521890496

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About the Authors
  • 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
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    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

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    Product details

    • Date Published: June 2005
    • format: Paperback
    • isbn: 9780521890496
    • length: 336 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.552kg
    • contains: 40 b/w illus.
    • availability: 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

    Algebra and Geometry

    Alan F. Beardon

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    If you are having problems accessing these resources please contact lecturers@cambridge.org.

  • Instructors have used or reviewed this title for the following courses

    • Crystallography
    • Fundamentals of abstract Algebra
    • Math Methods for Undergraduate
    • Modern Algebra
  • Author

    Alan F. Beardon, University of Cambridge

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