Author: A. Blaquiere
Publisher: Springer
Published: 2014-05-04
Total Pages: 405
ISBN-13: 3709143306
DOWNLOAD EBOOK →Author: Austin Blaquière
Publisher: Springer Verlag
Published: 1980-01-01
Total Pages: 412
ISBN-13: 9780387815336
DOWNLOAD EBOOK →Author: Andre Avez
Publisher: Academic Press
Published: 2012-12-02
Total Pages: 480
ISBN-13: 0323139523
DOWNLOAD EBOOK →Dynamical Systems and Microphysics: Geometry and Mechanics contains the proceedings of the Second International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences in Udine, Italy on September 1-11, 1981. Contributors explore the geometry and mechanics of dynamical systems and microphysics and cover topics ranging from Lagrangian submanifolds and optimal control theory to Hamiltonian mechanics, linear dynamical systems, and the quantum theory of measurement. This volume is organized into six sections encompassing 30 chapters and begins with an introduction to geometric structures, mechanics, and general relativity. It considers an approach to quantum mechanics through deformation of the symplectic structure, giving a striking insight into the correspondence principle. The chapters that follow focus on the gauge invariance of the Einstein field, group treatment of the space of orbits in the Kepler problem, and stable configurations in nonlinear problems arising from physics. This book is intended for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It will also be profitably read by philosophers of science and, to some extent, by persons who have a keen interest in basic questions of contemporary mechanics and physics and some background in the physical and mathematical sciences.
Author: J.M. Souriau
Publisher: Springer Science & Business Media
Published: 1997-09-23
Total Pages: 450
ISBN-13: 9780817636951
DOWNLOAD EBOOK →The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.
Author: Austin Blaquière
Publisher:
Published: 1984
Total Pages: 424
ISBN-13: 9780121043650
DOWNLOAD EBOOK →Dynamical Systems and Microphysics: Control Theory and Mechanics contains the proceedings of the Third International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held in Udine, Italy, on September 4-9, 1983. The papers explore the mechanics and optimal control of dynamical systems and cover topics ranging from complete controllability and stability to feedback control in general relativity; adaptive control for uncertain dynamical systems; geometry of canonical transformations; and homogeneity in mechanics. This book is comprised of 14 chapters and begins by discussing ...
Author: J. Fritz
Publisher:
Published: 2014-09-01
Total Pages: 508
ISBN-13: 9781489966544
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