Differential Forms with Applications to the Physical Sciences (Dover Books on Mathematics)


 
An intro to differential forms for physicists
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Rezension bezieht sich auf: Differential Forms with Applications to the Physical Sciences (Dover Books on Mathematics) (Taschenbuch) This book introduces differential forms to physicists. It is suitable for those with no advanced training in math other than multivarible calculus and linear algebra. No prior knowledge of topology is needed, although it doesn't hurt. The book starts with a good intro explaining the motivation for forms and when they might be useful over tensors and vectors. The exterior algebra is then presented in chapter 2, followed by a chapter on the exterior derivative. The rest of the book prestents a good deal of applications of forms including the statement and proof of the Newton-Leibniz-Ostrogradksy-Gauss-Green-Stokes Theorem, usually just called Stoke's Theorem. I'd recommend this book to any grad student in Theoretical physics that plans on doing research on physics in the 21st century.
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vom 6. Juni 1999
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