By T. J. Willmore

ISBN-10: 0198531257

ISBN-13: 9780198531258

ISBN-10: 0486486184

ISBN-13: 9780486486185

A reliable creation to the equipment of differential geometry and tensor calculus, this quantity is appropriate for complex undergraduate and graduate scholars of arithmetic, physics, and engineering. instead of a finished account, it bargains an creation to the basic principles and techniques of differential geometry.
Part 1 starts off by way of making use of vector tips on how to discover the classical thought of curves and surfaces. An advent to the differential geometry of surfaces within the huge presents scholars with rules and methods excited by international examine. 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 workouts look during the text.

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An Introduction to Differential Geometry (Dover Books on Mathematics) by T. J. Willmore

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