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

By T. J. Willmore

A strong creation to the equipment of differential geometry and tensor calculus, this quantity is appropriate for complicated undergraduate and graduate scholars of arithmetic, physics, and engineering. instead of a complete account, it bargains an creation to the basic rules and techniques of differential geometry.
Part 1 starts off via utilizing vector how you can discover the classical conception of curves and surfaces. An creation to the differential geometry of surfaces within the huge offers scholars with rules and methods thinking about worldwide examine. half 2 introduces the idea that of a tensor, first in algebra, then in calculus. It covers the elemental conception of absolutely the calculus and the basics of Riemannian geometry. labored examples and workouts seem during the text.

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