Maxwell J.C. A Treatise on Electricity and Magnetism. Vol. 1

Oxford: Clarendon Press, 1873. — 489 p.A Treatise on Electricity and Magnetism is a two-volume treatise on electromagnetism written by James Clerk Maxwell in 1873. Maxwell was revising the Treatise for a second edition when he died in 1879. The revision was completed by William Davidson Niven for publication in 1881. A third edition was prepared by J. J. Thomson for publication in 1892.Maxwell introduced the use of vector fields, and his labels have been perpetuated:A (vector potential), B (magnetic induction), C (electric current), D (displacement), E (electric field – Maxwell's electromotive intensity), F (mechanical force), H (magnetic field – Maxwell's magnetic force).
Maxwell's work is considered an exemplar of rhetoric of science:Lagrange's equations appear in the Treatise as the culmination of a long series of rhetorical moves, including (among others) Green's theorem, Gauss's potential theory and Faraday's lines of force – all of which have prepared the reader for the Lagrangian vision of a natural world that is whole and connected: a veritable sea change from Newton's vision.Title, author and publisher page from first volume of Maxwell's masterwork
Preliminary. On the Measurement of Quantities.Electrostatics.Description of Phenomena.
Elementary Mathematical Theory of Electricity.
On Electrical Work and Energy in a System of Conductors.
General Theorems.
Mechanical Action Between Two Electrical Systems.
Points and Lines of Equilibrium.
Forms of Equipotential Surfaces and Lines of Flow.
Simple Cases of Electrification.
Spherical Harmonics.
Confocal Surfaces of the Second Degree.
Theory of Electric Images.
Conjugate Functions in Two Dimensions.
Electrostatic Instruments.Electrokinematics.
The Electric Current.
Conduction and Resistance.
Electromotive Force Between Bodies in Contact.
Electrolysis.
Electrolytic Polarization.
Mathematical Theory of the Distribution of Electric Currents.
Conduction in Three Dimensions.
Resistance and Conductivity in Three Dimensions.
Conduction through Heterogeneous Media.
Conduction in Dielectrics.
Measurement of the Electric Resistance of Conductors.
Electric Resistance of Substances.