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Geometrical Methods of Mathematical Physics
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and different ...more
Hardcover, 264 pages
Published November 28th 1980 by Cambridge University Press
(first published 1980)
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A book about geometry, without pullback, pushforward, is not an excellent book. Furthermore, it explanation of Lie derivative is clear only in hindsight. Finally, its explanation about gauge symmetry as a connection deserve more space, way more space. Overall, the book is a nice first read, not trying to go too deep, specially when clarifying the curl (amazingly, some physicist still don't know this!) But it lacks several concepts and a more precise development of some ideas, besides the bad exp ...more