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Differential Geometry (Paperback)
Loot Price: R1,493
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Differential Geometry (Paperback)
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This book is intended to meet the need for a text introducing
advanced students in mathematics, physics, and engineering to the
field of differential geometry. It is self-contained, requiring
only a knowledge of the calculus. The material is presented in a
simple and understandable but rigorous manner, accompanied by many
examples which illustrate the ideas, methods, and results. The use
of tensors is explained in detail, not omitting little formal
tricks which are useful in their applications. Though never
formalistic, it provides an introduction to Riemannian geometry.
The theory of curves and surfaces in three-dimensional Euclidean
space is presented in a modern way, and applied to various classes
of curves and surfaces which are of practical interest in
mathematics and its applications to physical, cartographical, and
engineering problems. Considerable space is given to explaining and
illustrating basic concepts such as curve, arc length, surface,
fundamental forms; covariant and contravariant vectors; covariant,
contravariant and mixed tensors, etc. Interesting problems are
included and complete solutions are given at the end of the book,
together with a list of the more important formulae. No pains have
been spared in constructing suitable figures.
General
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