Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.
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17 of 17 people found the following review helpful:
4.0 out of 5 stars
THE book on classical potential theory,
By John W. Robbins (jrobbins@ziplink.net) "John ... (Maryland, USA) - See all my reviews
This review is from: Foundations of Potential Theory (Dover Books on Physics) (Paperback)
There are few books left in print on this captivating subject from theoretical mechanics. Kellogg's presentation is clear and mathematically formal. This is an excellent reprint from Dover.Now, if Dover would only bring back into print MacMillan's "The Theory of the Potential" and maybe try to reprint Sternberg & Smith's U. of Toronto Press published (and out of print) "The Theory of the Potential and Spherical Harmonics", they would have themselves a trilogy to corner the science book market for the classical treatment of potential theory. Kellogg stands fairly well on its own, but the other two books just mentioned fill-in Kellogg's gaps.
11 of 11 people found the following review helpful:
5.0 out of 5 stars
Beautiful mathematics,
This review is from: Foundations of Potential Theory (Dover Books on Physics) (Paperback)
A beautiful presentation which I much enjoyed in grad school. Now I need to return to the subject, but I can't find it in my lib. So I'm ordering another copy and looking forward to reading it again!
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