Download An Introduction to Differential Geometry (Dover Books on by T. J. Willmore PDF

By T. J. Willmore

A stable creation to the tools of differential geometry and tensor calculus, this quantity is acceptable for complex undergraduate and graduate scholars of arithmetic, physics, and engineering. instead of a entire account, it deals an advent to the fundamental principles and techniques of differential geometry.
Part 1 starts off by means of making use of vector how to discover the classical thought of curves and surfaces. An creation to the differential geometry of surfaces within the huge offers scholars with rules and strategies excited by worldwide learn. half 2 introduces the idea that of a tensor, first in algebra, then in calculus. It covers the fundamental idea of absolutely the calculus and the basics of Riemannian geometry. labored examples and routines seem in the course of the text.

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