Table of Contents | |
Preface for the English edition | 4 |
Note from the Author | 6 |
Table of Contents | 8 |
Introduction | 10 |
I.1. What is this book all about? | 10 |
I.2. Interesting historical facts regarding Maxwell’s equations | 11 |
I.3. New aspects regarding Maxwell’s equations | 16 |
I.4. Fully erroneous ideas regarding Maxwell’s equations | 20 |
I.5. Incorrectly interpreted specific problems | 21 |
I.6. References | 23 |
Chapter 1. Equations | 24 |
1.1. Symbols and notations used | 24 |
1.2. The most general form of Maxwell’s equations | 25 |
1.3. Derivation of complex form of vector for fields E and B | 26 |
1.4. Application of complex notation allows for the most general form of equations | 30 |
1.5. Even More General Notation of Equations | 32 |
1.6. General Solution of Maxwell’s Equations | 33 |
Chapter 2. Maxwell’s Equations Solution | 36 |
2.1. Proper solution of Maxwell’s equations | 36 |
2.2. One-direction solution | 37 |
2.2.1. Solution for homogenous equation | 37 |
2.2.2. Boundary/Initial conditions problem | 42 |
2.2.3. Solution for nonhomogeneous equation | 48 |
2.3. Solutions for three-directional equation | 57 |
2.3.1. Solution for three-directional homogenous equation | 57 |
2.3.2. Solution for nonhomogeneous equation | 61 |
2.3.3. Correct interpretation of inverse square law | 64 |
2.3.4. Biot- Savart’s law in Maxwell’s equations | 66 |
2.3.5. Coulomb’s law in Maxwell’s equations | 68 |
2.3.6. Faraday’s induction law in Maxwell’s equations | 69 |
Supplement – Mathematical problems and other issues | 72 |
3.1. Short and simple proof of Fermat's theorem | 72 |
3.1.1. Andrew Beal’s conjecture | 74 |
3.1.2. Pythagorean triples | 75 |
3.2. The origin of inertial mass and equation E = mc2 | 78 |
3.3. The relation between gravitational constant G and speed of light | 79 |
3.4. Why Moon in first and last quarter phase does not “look at” the Sun | 81 |
Final notes | 85 |