Look Inside Matroids: A Geometric Introduction

Matroids: A Geometric Introduction

Authors:
Gary Gordon, Lafayette College, Pennsylvania
Jennifer McNulty, University of Montana

Date Published: August 2012
availability: Available
format: Paperback
isbn: 9780521145688

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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.
- 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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Product details
- Date Published: August 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.
Look Inside
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.