The principal changes that I have made in preparing this revised edition
of the book are the following. (i) Carefuily selected worked and
unworked examples have been added to six of the chapters. These examples
have been taken from class and degree examination papers set in this
University and I am grateful to the University Court for permission to
use them. (ii) Some additional matter on the geometrieaI application of
veetors has been incorporated in Chapter 1. (iii) Chapters 4 and 5 have
been combined into one chapter, some material has been rearranged and
some further material added. (iv) The chapter on int gral theorems, now
Chapter 5, has been expanded to include an altemative proof of Gauss's
theorem, a treatmeot of Green's theorem and a more extended discussioo
of the classification of vector fields. (v) The only major change made
in what are now Chapters 6 and 7 is the deletioo of the discussion of
the DOW obsolete pot funetioo. (vi) A small part of Chapter 8 on
Maxwell's equations has been rewritten to give a fuller account of the
use of scalar and veetor potentials in eleetromagnetic theory, and the
units emploYed have been changed to the m.k.s. system.