Mathematical impressions

A unique exploration of opening lines from classic literature to modern music. You never get a second chance to make a first impression. In that spirit, Famous First Impr...

Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician G...

Abstract Syllogistic Logic and Mathematical Proof chronicles and analyzes a debate centered on the following question: does syllogistic logic have the resources to c...

This book introduces to the theory of probabilities from the beginning. Assuming that the reader possesses the normal mathematical level acquired at the end of the secondary schoo...

The manual contains a brief statement of the course of mathematical analysis. In contrast to existing academic literature textbook starts with a Chapter on "Basic mathematics" that...

Since the beginning of the twentieth century, philosophers of science have asked, “what kind of thing is a scientific theory?” The logical positivists answered: a scientific theory...

Abstract This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathe...