Tsutomu (Jixin) Kambe - Böcker

While the Origin of Life on Earth is explored by modern sciences based both on experimental and observational methods, a new biological principle is adopted in addition to the principles of physics and chemistry. The biosphere is explained by the biodiversity and coexistence amongst countlessly different species reminding us of the Buddha Nature. The book verifies the existence of a platform — dialogues between science and Buddhism — to contemplate these modern aspects of life.In the 2nd century BCE, western Greek philosophy encountered eastern Indian Buddhist philosophy, as captured in a Buddhist text, the Milindapanha (Questions of Milinda), resulting in the Greco-Buddhism, the cultural syncretism between Hellenistic culture and Buddhism. Some two thousand years later, in the modern era, the sciences have revolutionized ancient philosophies, as Buddhism by the philosophy of Emptiness, stimulating various new schools.Many scientists have written about science, and many Buddhists have explained Buddhism, but an in-depth analysis of both fields may be rare. The book reports on a recent project commemorating the founder and Indian monk of Zen Buddhism Bodhidharma. Imagine a Buddhist Eagle, soaring in the sky of Emptiness with both wings spreading out — one of Wisdom and another of Great Compassion — on all countlessly-many sentient beings.

This new approach to Fluid Mechanics from the gauge-theoretic viewpoint is based on a new formulation proposed in two original papers — Fluid Gauge Theory and Gauge Symmetries in Physical Fields.Contrary to the traditional formulation, the equation of mass conservation is deduced from the gauge symmetry of background field, existing inherently within the flow field. Thus, the fluid field is described by a combined system of a fluid-flow field and a background field. The formulation can be applied to study the mechanism of enhanced dissipation theoretically within turbulent flows.In the second part, Fluid Mechanics is considered in the language of curved spacetime, enabling the description of fluid motion in a weak gravitational field. The space-geometry instructs fluid-matter how to move, and the matter directs the geometry how to curve. Thus, the gravitational force is taken within the framework of Fluid Mechanics as an internal field rather than external one.With a common platform in electromagnetism and theory of gravitation in theoretical physics, the material in the book is unique.

This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems. The subjects are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. A great deal of effort has been directed toward making the description elementary, clear and concise, so that beginners will have an access to the topics.

This textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics.It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids.In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows.The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.

This textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics.It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids.In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows.The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.