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  3. Matroids: A Geometric Introduction
  • Cited by 18
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 November 2012
      02 August 2012
      ISBN:
      9781139049443
      9780521767248
      9780521145688
      DOI:
      https://doi.org/10.1017/CBO9781139049443
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.85kg, 410 Pages
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.64kg, 410 Pages
      • Subjects:
      Mathematics, Discrete Mathematics Information Theory and Coding, Geometry and Topology
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    Subjects:
    Mathematics, Discrete Mathematics Information Theory and Coding, Geometry and Topology
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    Book description

    Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any mathematician interested in the geometric approach to matroids. Written in a friendly, fun-to-read style and developed from the authors' own undergraduate courses, the book is ideal for students. Beginning with a basic introduction to matroids, the book quickly familiarizes the reader with the breadth of the subject, and specific examples are used to illustrate the theory and to help students see matroids as more than just generalizations of graphs. Over 300 exercises are included, with many hints and solutions so students can test their understanding of the materials covered. The authors have also included several projects and open-ended research problems for independent study.

    Reviews

    "The authors write in an entertaining, conversational style, and the text is often peppered with humorous footnotes. Nearly 300 exercises and scores of references will benefit motivated readers."
    -J. T. Saccoman, Choice

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