Field Mathematics for Electromagnetics, Photonics, and Materials Science: A Guide for the Scientist and Engineer (SPIE Tutorial Texts in Optical Engineering Vol. TT64)

As photonics and materials science span new horizons, it is paramount that one's mathematical skills be honed. The primary objective of this book is to offer a review of vector calculus needed for the physical sciences and engineering. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable at the undergraduate level. A secondary objective of this book is to prepare the reader for more advanced studies in these areas.

Contents

- List of Examples and Applications
- List of Figures
- Preface
- Acknowledgments
- Introduction
- Vector Algebra Review
- Elementary Tensor Analysis
- Vector Calculus Differential Forms
- Vector Calculus Integral Forms
- Appendix A: Vector Arithmetics and Applications
- Appendix B: Vector Calculus in Orthogonal Coordinate Systems
- Appendix C: Intermediate Tensor Calculus in Support of Chapters 3 and 4
- Appendix D: Coordinate Expansions of Vector Differential Operators
- Glossary
- Index