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Introduction to Differential Geometry and Riemannian Geometry (Paperback)
Loot Price: R1,491
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Introduction to Differential Geometry and Riemannian Geometry (Paperback)
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This book provides an introduction to the differential geometry of
curves and surfaces in three-dimensional Euclidean space and to
n-dimensional Riemannian geometry. Based on Kreyszig's earlier book
Differential Geometry, it is presented in a simple and
understandable manner with many examples illustrating the ideas,
methods, and results. Among the topics covered are vector and
tensor algebra, the theory of surfaces, the formulae of Weingarten
and Gauss, geodesics, mappings of surfaces and their applications,
and global problems. A thorough investigation of Reimannian
manifolds is made, including the theory of hypersurfaces.
Interesting problems are provided and complete solutions are given
at the end of the book together with a list of the more important
formulae. Elementary calculus is the sole prerequisite for the
understanding of this detailed and complete study in mathematics.
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