Matroids: A Geometric Introduction (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
410
Utgivningsdatum
2012-08-02
Förlag
Cambridge University Press
Medarbetare
McNulty, Jennifer
Illustratör/Fotograf
260 b, w illus 10 colour illus 50 tables 300 exercises
Illustrationer
260 b/w illus. 10 colour illus. 50 tables 300 exercises
Dimensioner
241 x 168 x 23 mm
Vikt
636 g
Antal komponenter
1
Komponenter
1367:Standard Color 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss La
ISBN
9780521145688

Matroids: A Geometric Introduction

av Gary Gordon
Häftad,  Engelska, 2012-08-02
482
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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.
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"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

Övrig information

Gary Gordon is a Professor in the Mathematics Department at Lafayette College, Pennsylvania. Jenny McNulty is a Professor in the Department of Mathematical Sciences at the University of Montana, Missoula.

Innehållsförteckning

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.

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