Manifolds of Nonpositive Curvature (Progress in Mathematics;

Format: Hardcover

Language: English

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Polthier, Konrad, Imaging maths - Inside the Klein bottle, from Plus Magazine, September 2003, and Website with lots of information and wonderful pictures, some animated, of Klein bottles. At a later stage some of these students will proceed to the study of multidimensional differential geometry and the tensor calculus. We show that each B(f,x) is a polytop which can be completed to become geometric.

Pages: 266

Publisher: Birkhäuser; 1 edition (January 1985)

ISBN: 081763181X

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When you looked at a calculus text for the first time in your life it probably looked complicated as well.� Let me quote a piece of advice by Hermann Weyl from his classic Raum–Zeit–Materie of 1923 (my translation).� Many will be horrified by the flood of formulas and indices which here drown the main idea of differential geometry (in spite of the author's honest effort for conceptual clarity).� It is certainly regrettable that we have to enter into purely formal matters in such detail and give them so much space; but this cannot be avoided.� Just as we have to spend laborious hours learning language and writing to freely express our thoughts, so the only way that we can lessen the burden of formulas here is to master the tool of tensor analysis to such a degree that we can turn to the real problems that concern us without being bothered by formal matters ref.: Riemannian Geometry download pdf

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