Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical engineering and statics. This book provides a comprehensive introduction to matroid theory. Containing over 500 exercises and proofs of major theorems, it is useful for academics and students in mathematics and computer science.

The study of matroids is a branch of discrete mathematics with basic links to graphs, lattices, codes, transversals, and projective geometries. Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical engineering and statics. This new in paperback version of the classic "Matroid Theory" by James Oxley provides a comprehensive introduction to matroid theory, covering the very basics to more advanced topics. With over 500 exercises and proofs of major theorems, this book is the ideal reference and class text for academics and graduate students in mathematics and computer science. The final chapter lists sixty unsolved problems and describes progress towards their solutions.