6 CONTENTS

B.1 Basis Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339B.2 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342B.3 Curvilinear Coordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . 343B.4 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345B.5 Transformation of Coordinates. . . . . . . . . . . . . . . . . . . . . . . . 347B.6 Differentiation and Christoffel Symbols . . . . . . . . . . . . . . . . . . . 349B.7 Gradients and Divergence . . . . . . . . . . . . . . . . . . . . . . . . . . 351B.8 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354Copyright © 2018, You are welcome to use this, including copying it for use in classes

or referring to it on line but not to publish it for money. I do constantly upgrade it when Ifind errors or things which could be improved, and I am constantly finding such things.