By T. J. Willmore
Part 1 starts off by way of applying vector how you can discover the classical conception of curves and surfaces. An creation to the differential geometry of surfaces within the huge presents scholars with principles and methods excited by international study. half 2 introduces the concept that of a tensor, first in algebra, then in calculus. It covers the fundamental thought of absolutely the calculus and the basics of Riemannian geometry. labored examples and routines look in the course of the text.
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An Introduction to Differential Geometry (Dover Books on Mathematics) by T. J. Willmore