Download E-books An Introduction to Differential Geometry (Dover Books on Mathematics) PDF

A sturdy creation to the tools of differential geometry and tensor calculus, this quantity is acceptable for complicated undergraduate and graduate scholars of arithmetic, physics, and engineering. instead of a complete account, it deals an creation to the fundamental principles and techniques of differential geometry.
Part 1 starts via utilising vector the right way to discover the classical thought of curves and surfaces. An advent to the differential geometry of surfaces within the huge offers scholars with rules and methods concerned about international learn. half 2 introduces the idea that of a tensor, first in algebra, then in calculus. It covers the elemental concept of absolutely the calculus and the basics of Riemannian geometry. labored examples and workouts look during the text.

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