Although contact geometry and topology is briefly discussed in V I Arnol'd'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 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.
About Arrkady L. Kholodenko
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Author  :  Arrkady L. Kholodenko 
Publisher  :  World Scientific Publishing Co Pte Ltd 
Data Published  :  28 June 2013 
ISBN  :  9814412082 
EAN  :  9789814412087 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  220 pages 
Age +  :  18 years 
Language  :  English 
Rating  : 
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