Applications of contact geometry and topology in physics
The Resource Applications of contact geometry and topology in physics Label
 Applications of contact geometry and topology in physics
 Statement of responsibility
 by Arkady L Kholodenko (Clemson University, USA)
 Language
 eng
 Summary
 Although contact geometry and topology is briefly discussed in V I Arnold's book "Mathematical Methods of Classical Mechanics" (SpringerVerlag, 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 problems. 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 LandauLifshitz (LL) 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 LL 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 LL course some problems/exercises are formulated along the way and, again as in the LL course, these are always supplemented by either solutions or by hints (with exact references). Unlike the LL 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
 Cataloging source
 N$T
 Dewey number
 530.15/636
 Index
 index present
 LC call number
 QC20.7.G44
 LC item number
 K46 2013eb
 Literary form
 non fiction
 Nature of contents

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 bibliography
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