This book bridges the gap between ordinary vector analysis as presented in standard textbooks and the background needed to study advanced electromagnetism or relativity theory. It also bridges the gap between the notation of vector analysis and that of tensor analysis, introducing dyadics early, and making significant use of them throughout the book.
Background required: Undergraduate degree in physics, mathematics, or engineering.
ISBN 1-880930-00-5
Copyright 1991, 155 + iii pages.
List price $18.00.
Chapt. 1: Del in Rectangular Coordinates
Chapt. 2: Using Del Independent of Coordinates
Chapt. 3: Integral Theorems
Chapt. 4: Nonrectangular Orthogonal Coordinates
Chapt. 5: Generalizations
Appendix A: Wallis' Formula
Appendix B: The Dirac Delta Function
Appendix C: Orthogonal Coordinate Systems
Appendix D: Overview of Electromagnetism