This volume provides a series of tutorials on mathematical
structures which recently have gained prominence in physics,
ranging from quantum foundations, via quantum information, to
quantum gravity. These include the theory of monoidal categories
and corresponding graphical calculi, Girard's linear logic, Scott
domains, lambda calculus and corresponding logics for typing, topos
theory, and more general process structures. Most of these
structures are very prominent in computer science; the chapters
here are tailored towards an audience of physicists.
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