FUNCTIONAL ANALYSIS - People
5 Spectral Theory 209 ... convey to the reader, and a vast number of applications in many elds of mathematics. These include the analysis of PDEs, di erential topology and geometry, symplectic topology, quantum mechanics, probability theory, geo- ... its own and, in fact, very many books have been written about this subject; ...
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people.math.ethz.chOne can distinguish extrinsic di erential geometry and intrinsic di er-ential geometry. The former restricts attention to submanifolds of Euclidean space while the latter studies manifolds equipped with a Riemannian metric. The extrinsic theory is more accessible because we …
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