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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