Geometry of Constrained Dynamical Systems
Geometry of Constrained Dynamical Systems by John M. Charap, published by Cambridge University Press on January 5, 1995, spans 335 pages and is presented in English. This book explores the intricate relationship between constrained dynamical systems and geometry, particularly in the context of modern physics. It originated from a symposium held at the Newton Institute in 1994, focusing on how various fundamental theories can be understood through the lens of dynamical systems subject to constraints.
Readers will find a collection of papers addressing key topics such as Chern-Simons theory, sigma-models, gauge invariance, and quantum gravity. The contributions from leading authorities in the field provide a diverse and contemporary perspective on the connections between geometry and gravity. This edition serves as a valuable resource for theoretical physicists and mathematicians seeking insights into the latest developments in mathematical and computational approaches to physics.
Official synopsis Publisher
Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of formulating them as quantum systems, has many profound links with geometry. These links were explored in the Symposium on Geometry and Gravity held at the Newton Institute in 1994. This book, which arose from a conference held during that symposium, is a collection of papers devoted to problems such as Chern-Simons theory, sigma-models, gauge invariance and loop quantization, general relativity and the notion of time, and quantum gravity. They present a lively, varied and topical perspective on this important branch of theoretical physics from some of the leading authorities in the subject, and will be of value to theoretical physicists and mathematicians interested in the latest advances.
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