5 edition of A treatise on electricity and magnetism found in the catalog.
|The Physical Object|
|Pagination||xvi, 103 p. :|
|Number of Pages||60|
|2||Clarendon Press series|
|Vol. I. Preliminary: On the measurement of quantities. pt. I. Electrostatics. pt. II. Electrokinematics. Vol. II. pt. III. Magnetism. pt. IV. Electromagnetism.|
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Two errata are given on the unnumbered page prior to page 1 of Vol. As examples, since the time when the theoretical design of electromagnetism was frozen, gauge theory has been invented and brought to maturity and topology and geometry have been introduced to field theory.
A summary of Maxwell's equations is given in Vol. Today, the tremendously crippled Maxwell-Heaviside equations --- symmetrized by Lorentz --- are taught in all our universities in A treatise on electricity and magnetism electrical engineering EE department. The result was the realization that there was no need for the greater physical insights provided by quaternions if the theory was purely local, and vector analysis became commonplace.
In the hard physics literature, rigorous proof that eliminating the arbitrary Lorentz condition provides systems having free additional energy currents from the vacuum is given by M. We point out that quaternion algebra has a higher group symmetry than either vector algebra or tensor algebra, and hence it reveals much more EM phenomenology and dynamics than does EM in vector or tensor form.
Maxwell died before finishing the rest of the second edition.
However, Maxwell had gone in his second edition to some pains to reduce the quaternion expressions himself, and not require the students to know the calculus of quaternions so stated on p. Maxwell expressed electromagnetism in the algebra of quaternions and made the electromagnetic potential the centerpiece of his theory.
He actually had A treatise on electricity and magnetism hand at all in the third edition as to any further changes. One of those errors was Maxwell's assumption of the material ether, an ether which was falsified experimentally in 1887 after Maxwell was already dead. Then circa 1892 Lorentz arbitrarily symmetrized the already seriously constrained Heaviside-Maxwell equations, just to get simpler equations easier to A treatise on electricity and magnetism algebraically, and thus to dramatically reduce the need for numerical methods which were a "real bear" before the computer.
Today, of course, we know in the quantum theory that it is the potentials that are primary, and the fields are derived from changes in the potentials. The paper was orally read Dec. We do point out that the original Maxwell quaternion and quaternion-like theory of 1865 also contained errors, by the physics that has been learned since then. In the paper, Maxwell adopts the approach of first arriving at the laws of induction and then deducing the mechanical attractions and repulsions.
His equations of the electromagnetic field are given in Part III, General Equations of the Electromagnetic Field, p.
In 1881 Heaviside replaced the electromagnetic potential field by force fields as the centerpiece of electromagnetic theory. ] Maxwell died in 1879 of stomach cancer. Anyway, that gives you a brief overview of the Maxwell theory, and the rather sharp curtailment of it that has become the accepted but very crippled model for electrical engineering.
--- strongly assaulted the Maxwellian theory and dramatically reduced it, creating vector algebra in the process. Here's what Barrett --- a nationally known electrodynamicist and one of the co-founders of ultrawideband radar --- has to say about Maxwell's theory: "In the case of electromagnetism, the theory was first simplified before being frozen. Most of modern physics, such as special and general relativity, quantum field theory, etc.
Also, after Maxwell published the first edition of his famous "Treatise.
Although most persons view their subject matter through the filter of the mathematical tools in which they are trained, the best mathematical techniques for a specific analysis depend upon the best match between the algebraic logic and the underpinning physical dynamics of a theoretical system.