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Algebra and Geometry

Algebra and Geometry

£99.99

textbook
  • Date Published: May 2005
  • availability: Available
  • format: Hardback
  • isbn: 9780521813624

£ 99.99
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  • Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

    • 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

    'The presentation is traditional, informal, and relaxed.' Zentralblatt MATH

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    Product details

    • Date Published: May 2005
    • format: Hardback
    • isbn: 9780521813624
    • length: 340 pages
    • dimensions: 234 x 161 x 26 mm
    • weight: 0.67kg
    • 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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    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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  • 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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