Book:James Clerk Maxwell/A Treatise on Electricity and Magnetism

James Clerk Maxwell: A Treatise on Electricity and Magnetism

Published $\text {1873}$, Oxford at the Clarendon Press

Subject Matter

• Electromagnetism

Published in two volumes:

• 1873: James Clerk Maxwell: A Treatise on Electricity and Magnetism: Volume $\text { 1 }$
• 1873: James Clerk Maxwell: A Treatise on Electricity and Magnetism: Volume $\text { 2 }$

Contents

Preface

Preliminary. On the Measurement of Quantities.

Part I. Electrostatics.

1. Description of Phenomena.
2. Elementary Mathematical Theory of Electricity.
3. On Electrical Work and Energy in a System of Conductors.
4. General Theorems.
5. Mechanical Action Between Two Electrical Systems.
6. Points and Lines of Equilibrium.
7. Forms of Equipotential Surfaces and Lines of Flow.
8. Simple Cases of Electrification.
9. Spherical Harmonics.
10. Confocal Surfaces of the Second Degree.
11. Theory of Electric Images.
12. Conjugate Functions in Two Dimensions.
13. Electrostatic Instruments.

Part II. Electrokinematics.

1. The Electric Current.
2. Conduction and Resistance.
3. Electromotive Force Between Bodies in Contact.
4. Electrolysis.
5. Electrolytic Polarization.
6. Mathematical Theory of the Distribution of Electric Currents.
7. Conduction in Three Dimensions.
8. Resistance and Conductivity in Three Dimensions.
9. Conduction through Heterogeneous Media.
10. Conduction in Dielectrics.
11. Measurement of the Electric Resistance of Conductors.
12. Electric Resistance of Substances.

Part III. Magnetism

1. Elementary Theory of Magnetism.
2. Magnetic Force and Magnetic Induction.
3. Particular Forms of Magnets.
4. Induced Magnetization.
5. Magnetic Problems.
6. Weber's Theory of Magnetic Induction.
7. Magnetic Measurements.
8. Terrestrial Magnetism.

Part IV. Electromagnetism.

1. Electromagnetic Force.
2. Mutual Action of Electric Currents.
3. Induction of Electric Currents.
4. Induction of a Current on Itself.
5. General Equations of Dynamics.
6. Application of Dynamics to Electromagnetism.
7. Electrokinetics.
8. Exploration of the Field by means of the Secondary Circuit.
9. General Equations.
10. Dimensions of Electric Units.
11. Energy and Stress.
12. Current-Sheets.
13. Parallel Currents.
14. Circular Currents.
15. Electromagnetic Instruments.
16. Electromagnetic Observations.
17. Electrical Measurement of Coefficients of Induction.
18. Determination of Resistance in Electromagnetic Measure.
19. Comparison of Electrostatic With Electromagnetic Units.
20. Electromagnetic Theory of Light.
21. Magnetic Action on Light.
22. Electric Theory of Magnetism.
23. Theories of Action at a Distance.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Maxwell, James Clerk (1831-79)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Maxwell, James Clerk (1831-79)