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  3. Algebra and Tiling
  • Cited by 67
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    • Publisher:
      Mathematical Association of America
      Publication date:
      Invalid date
      June 2009
      ISBN:
      9780883850411
      DOI:
      https://doi.org/10.5948/UPO9781614440246
      Dimensions:
      Weight & Pages:
      Dimensions:
      Weight & Pages:
      00kg,
      • Subjects:
      Mathematics, Algebra
      Series:
      Carus Mathematical Monographs
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    Subjects:
    Mathematics, Algebra
    Series:
    Carus Mathematical Monographs
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    Book description

    Read what reviewers had to say about this excellent monograph: Algebra and Tiling is perfect for bringing alive an abstract algebra course. Intuitive but difficult problems of geometry are translated into algebraic problems more amenable to solution... Full of surprises, the book is a pleasure to read. Essential for collections that serve undergraduates. Choice The authors have arranged the text so that exercises are stated frequently throughout the chapters, rather than at the end, and they have presented as problems some questions that have not yet been answered. Historical background relating to tiling problems helps focus the reader on the mathematical discussions. The student or mathematician whose area of interest is algebra should enjoy this text. The Mathematics Teacher There are many questions about tilings which lend themselves nicely to the tools of modern algebra. This book is about several such questions. Each chapter is an independent instance of turning a tiling problem into a problem in algebra... This book is almost self-contained; a lot of time is spent describing carefully the relevant algebra. Zentralblatt für Mathematik Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper division algebra courses, but teachers, researchers, and professional mathematicians will find the book equally appealing. Beginners will find the exercises and the appendices especially useful. The unsolved problems will challenge both beginners and experts. The book could serve as the basis of an undergraduate or graduate seminar or a source of applications to enrich an algebra or geometry course.

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