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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      05 September 1985
      ISBN:
      9781139163590
      9780521347938
      DOI:
      https://doi.org/10.1017/CBO9781139163590
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.349kg, 256 Pages
      • Subjects:
      Mathematics, Geometry and Topology, Algebra
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    Subjects:
    Mathematics, Geometry and Topology, Algebra
    Information

    Book description

    This book follows the same successful approach as Dr Burn's previous book on number theory. It consists of a carefully constructed sequence of questions which will enable the reader, through his or her own participation, to generate all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationship to three-dimensional isometries are covered, and the climax of the book is a study of crystallographic groups, with a complete analysis of these groups in two dimensions.

    Reviews

    ‘There is much here of value both for students and for those who are seeking a refresher course in modern group theory.’

    Source: The Times Higher Education Supplement

    ‘… the author is encouraging throughout and patiently leads his audience to an understanding of the interplay between group theory and the classical geometry of two and three dimensions … the author is a knowledgeable and considerate guide.’

    Source: Mathematical Gazette

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