Matroids, first defined in 1935, are an abstract generalization of graphs and matrices. By now, there is a large body of matroid theory. The book covers the part of the theory dealing with composition and decomposition of matroids. The book is a revised version of the original publication of 1992. It does not assume any prior knowledge of matroid theory. Indeed, for the reader unfamiliar with matroid theory, the book may serve as an easy and intuitive introduction to that beautiful part of combinatorics. For the expert, the book is intended to provide a pleasant tour over familiar terrain.

Is mathematics created or discovered? The answer has been debated for centuries. This book answers the question clearly and decisively by applying the concept of language games, invented by the philosopher Wittgenstein to solve difficult philosophical issues. Using the results of modern brain science, the book also explains how it is possible that eminent mathematicians and scientists offer diametrically opposed answers to the question of creation vs. discovery. Interested in the topic but intimidated by mathematics? Not to worry. If you are familiar with the elementary operations of...