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Matroid Decomposition

Matroids, firscapturematroiddecompositiont 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.

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Introduction to Wittgenstein’s Tractatus Logico-Philosophicus

capturephilosophybookIn 1921, Ludwig Wittgenstein (1889-1951) published a landmark book in philosophy: the Tractatus Logico-Philosophicus, usually called just the Tractatus. It puts forth a profound theory—now called the picture theory—about the meaning of language. Simply put, the Tractatus aims to answer the question “What can be expressed by language?”
It is an understatement to say that the Tractatus is difficult to read and understand. Accordingly, numerous introductory books and commentaries have been written. These texts are important contributions in philosophy but also are quite complex, even when described as being introductory.
In contrast, this book brings out the fundamental ideas of the Tractatus in simple, everyday language, with all concepts and conclusions illustrated by numerous examples taken from the natural sciences.

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