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Manifolds and Differential Geometry (Graduate Studies in Mathematics)
Jeffrey M. Lee
[PDF.aw15] Manifolds and Differential Geometry (Graduate Studies in Mathematics)
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| #886069 in Books | American Mathematical Society | 2009-11-25 | Original language:English | 10.50 x7.25 x1.50l,3.00 | File type: PDF | 671 pages | ||0 of 0 people found the following review helpful.| Excellent graduate text on differential geometry.|By RHG55|Excellent graduate text on differential geometry. Well-written and understandable, even without any prior coursework in the subject matter.|0 of 2 people found the following review helpful.| Five Stars|By EverRedd|More light reading before you fall asleep|45 of 47 peop
Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generalized along with associated notions such as length, volume, and curvature. At the same time the topic has become closely allied with developments in topology. The basic object is a smooth manifold, to which some extra structure has been attached, such as a Riemannian metric, a symplectic form, a distinguished group of symmetr...
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