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Riemannian Geometry
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Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts.

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... an intuitive approach to Riemannian geometry based on surfaces in n-dimensional Euclidean spaces. ... This revision of the second edition includes many interesting exercises and solutions to selected exercises. ... The book is warmly recommended to specialists in mathematics, physicists and especially to PhD students interested in this topic.
-Jan Kurek, Zentralblatt MATH 1234

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