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.

Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

This text offers basic understanding of the electronic structure of covalent and ionic solids, simple metals, transition metals and their compounds; also explains how to calculate dielectric, conducting, bonding properties.

The book is a newly arranged and revised English version of "Aufbau der Physik" by Carl Friedrich von Weizsäcker. Some original chapters and sections have been deleted, and a new chapter about further insights and results of ur-theoretic research of the late 1980’s and 1990’s has been included. Carl Friedrich von Weizsäcker combines the perspectives of science, philosophy, religion and politics with a view towards the challenges as well as the responsibilities of our time.

In Basic Structures of Reality, Colin McGinn deals with questions of metaphysics, epistemology, and philosophy of mind from the vantage point of physics. Combining general philosophy with physics, he covers such topics as the definition of matter, the nature of space, motion, gravity, electromagnetic fields, the character of physical knowledge, and consciousness and meaning. Throughout, McGinn maintains an historical perspective and seeks to determine how much we really know of the world described by physics. He defends a version of "structuralism": the thesis that our knowledge is partial and merely abstract, leaving a large epistemological gap at the center of physics. McGinn then connects this element of mystery to parallel mysteries in relation to the mind. Consciousness emerges as just one more mystery of physics. A theory of matter and space is developed, according to which the impenetrability of matter is explained as the deletion of volumes of space. McGinn proposes a philosophy of science that distinguishes physics from both psychology and biology, explores the ontology of energy, and considers the relevance of physics to seemingly remote fields such as the theory of meaning. In the form of a series of aphorisms, the author presents a metaphysical system that takes laws of nature as fundamental. With its broad scope and deep study of the fundamental questions at the heart of philosophy of physics, this book is not intended primarily for specialists, but for the general philosophical reader interested in how physics and philosophy intersect.

Reviews developments in applications of inhomogeneous models to cosmology, for graduate students and academic researchers in astrophysics.