The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution). The emergence theme is developed with an emphasis on the meaning via mathematics. A background theme of Bohemian mechanics and connections to the quantum equivalence principle of Matone et al is also developed in great detail. Some original work relating the quantum potential and Ricci flow is also included.

Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix attempts to bridge in one step the enormous gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light. Hence, while it is suitable as a reference for the specialist in quantum optics, it will also be useful to the non-specialists from other disciplines who need to understand light and its uses in research. With a unique approach it introduces a single analytic tool, namely the density matrix, to analyze complex optical phenomena encountered in traditional as well as cross-disciplinary research.

Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix attempts to bridge in one step the enormous gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light. Hence, while it is suitable as a reference for the specialist in quantum optics, it will also be useful to the non-specialists from other disciplines who need to understand light and its uses in research. With a unique approach it introduces a single analytic tool, namely the density matrix, to analyze complex optical phenomena encountered in traditional as well as cross-disciplinary research.

The lectures that four authors present in this volume investigate core topics related to the accelerated expansion of the Universe. The first lecture covers the inflationary period in the very early Universe. The second lecture revolves around the accelerated expansion of the late Universe at redshifts z < 1 due to the enigmatic dark energy that is commonly interpreted as a cosmological constant. The discovery of this accelerated expansion relied on data from type Ia supernovae, so this second lecture is dedicated to the astrophysics of type Ia supernovae and their role in cosmological observations.

Mechanics is the backbone of mathematical physics. Though it is true that we no longer require physics to explain all phenomena in terms of mechanical models, as was common during the last century, we are nevertheless convinced that the principles of mechanics, such as those of momentum, energy, and least action, are of the greatest importance in all branches of physics.