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Matroids: A Geometric Introduction

$51.99 (P)

  • Date Published: September 2012
  • availability: Available
  • format: Paperback
  • isbn: 9780521145688

$ 51.99 (P)
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About the Authors
  • 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.

    • Packed with examples, applications and exercises ranging from routine-computational to advanced-theoretical
    • Incorporates short biographies and interesting mathematical notes
    • Teaching material 'road-tested' by the authors
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    Reviews & endorsements

    "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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    Product details

    • Date Published: September 2012
    • format: Paperback
    • isbn: 9780521145688
    • length: 410 pages
    • dimensions: 241 x 168 x 23 mm
    • weight: 0.64kg
    • contains: 260 b/w illus. 10 colour illus. 50 tables 300 exercises
    • availability: Available
  • Table of Contents

    1. A tour of matroids
    2. Cryptomorphisms
    3. New matroids from old
    4. Graphic matroids
    5. Finite geometry
    6. Representable matroids
    7. Other matroids
    8. Matroid minors
    9. The Tutte polynomial
    Projects
    Appendix: matroid axiom systems
    Bibliography
    Index.

  • Authors

    Gary Gordon, Lafayette College, Pennsylvania
    Gary Gordon is a Professor in the Mathematics Department at Lafayette College, Pennsylvania.

    Jennifer McNulty, University of Montana
    Jenny McNulty is a Professor in the Department of Mathematical Sciences at the University of Montana, Missoula.

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