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Book Id: WPLBN0000654341
Format Type: PDF eBook
File Size: 590.78 KB
Reproduction Date: 2005
Full Text

Title: Applications  
Language: English
Subject: Science., Mathematics, Logic
Publication Date:


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Applications. (n.d.). Applications. Retrieved from

Mathematics document containing theorems and formulas.

Excerpt: This chapter presents some applications of manifold theory and tensor analysis to physics and engineering. Our selection is a of limited scope and depth, with the intention of providing an introduction to the techniques. There are many other applications of the ideas of this book as well. We list below a few selected references for further reading in the same spirit: // 1. Arnol?d [1982], Abraham and Marsden [1978], Chernoff and Marsden [1974],Weinstein [1977], Marsden // [1981], Marsden [1992], and Marsden and Ratiu [1999] for Hamiltonian mechanics. // 2. Marsden and Hughes [1983] for elasticity theory. // 3. Flanders [1963], vonWestenholz [1981], and Bloch, Ballieul, Crouch and Marsden [2001] for applications // to control theory. // 4. Hermann [1980], Knowles [1981], and Schutz [1980] for diverse applications. // 5. Bleecker [1981] for Yang?Mills theory. // 6. Misner, Thorne, and Wheeler [1973] and Hawking and Ellis [1973] for general relativity.


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