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

By T. J. Willmore

A stable advent to the equipment of differential geometry and tensor calculus, this quantity is acceptable for complicated undergraduate and graduate scholars of arithmetic, physics, and engineering. instead of a accomplished account, it bargains an advent to the fundamental rules and techniques of differential geometry.
Part 1 starts off by means of utilizing vector tips on how to discover the classical conception of curves and surfaces. An creation to the differential geometry of surfaces within the huge presents scholars with rules and strategies fascinated with international 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 workouts seem in the course of the text.

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