Readership: Mathematicians and computer scientists with interests in combinatorics, graph theory, lattice theory, projective geometry, or combinatorial optimization.
James G. Oxley, Louisiana State University
Review(s) from previous edition"'It includes more background, such as finite fields and finite projective and affine geometries, and the level of the exercises is well suited to graduate students. The book is well written and includes a couple of nice touches ... this is a very useful book. I recommend it highly both as an introduction to matroid theory and as a reference work for those already seriously interested in the subject, whether for its own sake or for its applications to other fields. - Neil L. White, University of Florida, AMS Bulletin, Vol. 30, No. 2, April '94
"Whoever wants to know what is happening in one of the most exciting chapters of combinatorics has no choice but to buy and peruse Oxley's treatise" - Gian-Carlo Rota, Massachusetts Institute Technology (The Bulletin of Mathematics)
"This book is an excellent graduate textbook and reference book on matroid theory. The care that went into the writing of this book is evident by the quality of the exposition" - Talmage J. Reid, University of Mississippi (Mathematical Reviews)
Preface Preliminaries 1: Basic definitions and examples 2: Duality 3: Minors 4: Connectivity 5: Graphic matroids 6: Representable matroids 7: Constructions 8: Higher connectivity 9: Binary matroids 10: Ternary matroids 11: The Splitter theorem 12: Submodular functions and matroid union 13: Regular matroids 14: Unsolved problems References Appendix. Some interesting matroids Notation Index
