The Book Fat Manifolds and Linear Connections

Fat Manifolds and Linear Connections

Details Book

  • Autor: Alessandro De Paris
  • Editor: World Scientific Publishing Co Pte Ltd
  • Relaese Date: 01 October 2008
  • ISBN: 9812819045
  • Format Book: PDF, Epub, DOCx, TXT, Audio, MOBI
  • Number of page: 250 pages
  • File Size: 54MB
  • Rating:


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Description Fat Manifolds and Linear Connections de Alessandro De Paris:

The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). The now-standard approach to this subject was proposed by Ch. Ehresmann 60 years ago, attracting first mathematicians and later physicists by its transparent geometrical simplicity. Unfortunately, it does not extend well to a number of recently emerged situations of significant importance (singularities, supermanifolds, infinite jets and secondary calculus, etc.). Moreover, it does not help in understanding the structure of calculus naturally related with a connection.In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a "fat manifold" introduced here then allows the reader to build a well-working analogy of this "connection calculus" with the usual one. Specifics of this writer should not be located and also continues to be eradicated with the ask for of your creator. Maybe you may be considering alternative ebooks through the Alessandro De Paris. We had been in the position to obtain a lot of the the majority of iformatsii in your case. Pertaining to authors: site does not extend to open public entry a person's ebooks on our internet pages simply initial info on the book. If you think that web site is infringing, make sure you email united states over it trouble with actually the author of such publications, we'll quickly remove web pages from my site.

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