Re-vision by Mary Anne Doane

Re-vision by Mary Anne Doane

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Re-vision by Mary Anne Doane

Although contact geometry and topology is briefly discussed in V I Arnol'd's book Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges An Introduction to Contact Topology (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph Contact Geometry and Nonlinear Differential Equations (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problem. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau Lifshitz (L L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L L course some problems/exercises are formulated along the way and, again as in the L L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.

At Brown University, Mary Ann Doane is the George Hazard Crooker University Professor of Contemporary Culture and Media as well as English.

SKU Unavailable
ISBN 13 9780890935866
ISBN 10 0890935866
Title Re-vision
Author Mary Anne Doane
Series American Film Institute Monograph Ser
Condition Unavailable
Binding Type Paperback
Publisher Bloomsbury Publishing PLC
Year published 1984-05-01
Number of pages 169
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.