Electromagnetism & Vector Calculus

Contents

1.  Electromagnetics I (online book)
2.  Electromagnetics II (online book)
3.  Earlier 2nd Year Maths Course (including vector calculus)

1.  Book: Electromagnetics I (Steve W. Ellingson, Libretexts)

From Virginia Tech Libraries’ Open Education Initiative and part of their Open Electromagnetics Project

About the Book(s) and the Author

I found this a really concise, useful and clear account of some Electromagnetism fundamentals, including some key vector calculus descriptions, results and applications. The book is online and free to use. I do recommend this as a supplementary text for Electromagnetism courses.” Dr Graham S McDonald, University of Salford

Book Contents (full)

Table of Contents (brief):
Chapter 1: Preliminary Concepts
Chapter 2: Electric and Magnetic Fields
Chapter 3: Transmission Lines
Chapter 4: Vector Analysis
Chapter 5: Electrostatics
Chapter 6: Steady Current and Conductivity
Chapter 7: Magnetostatics
Chapter 8: Time-Varying Fields
Chapter 9: Plane Waves in Lossless Media
Appendixes
A. Constitutive Parameters of Some Common Materials
B. Mathematical Formulas
C. Physical Constants

Chapters That I Found of Particular Interest/Usefulness

2: Electric and Magnetic Fields
4: Vector Analysis
5: Electrostatics
7: Magnetostatics
8: Time-Varying Fields

Book I Index (alphabetical listing of topics)

2.  A Second Book: Electromagnetics II (Steve W. Ellingson, Libretexts)

Book Contents (full)

Table of Contents (brief):
Chapter 1: Preliminary Concepts
Chapter 2: Magnetostatics Redux
Chapter 3: Wave Propagation in General Media
Chapter 4: Current Flow in Imperfect Conductors
Chapter 5: Wave Reflection and Transmission
Chapter 6: Waveguides
Chapter 7: Transmission Lines Redux
Chapter 8: Optical Fiber
Chapter 9: Radiation
Chapter 10: Antennas
Appendix A: Constitutive Parameters of Some Common Materials
Appendix B: Mathematical Formulas
Appendix C: Physical Constants

Chapter Webpages

Book II Index (alphabetical listing of topics)

3.  Earlier 2nd Year Maths Course

Subjects:  Vector Calculus, Matrices and Partial Differential Equations

See the Presentation Summaries for an overview, then full Presentations and Tutorials give further information and examples.

Vector Calculus.  See Presentations 1 to 6

Matrices.  See Presentations 7, 8 and 9

Solution of Ordinary and Partial Differential Equations. See Presentation 10