Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Potential Theory

Potential Theory
Catalogue Information
Field name Details
Dewey Class 515.96
Title Potential Theory ([EBook] /) / by John Wermer.
Author Wermer, John
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1974.
Physical Details VIII, 149 p. 22 illus. : online resource.
ISBN 9783662127278
Summary Note Potential theory grew out of mathematical physics, in particular out of the theory of gravitation and the theory of electrostatics. Mathematical physicists such as Poisson and Green introduced some of the central ideas of the subject. A mathematician with a general knowledge of analysis may find it useful to begin his study of classical potential theory by looking at its physical origins. Sections 2, 5 and 6 of these Notes give in part heuristic arguments based on physical considerations. These heuristic arguments suggest mathematical theorems and provide the mathematician with the problem of finding the proper hypotheses and mathematical proofs. These Notes are based on a one-semester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of Real Function Theory to the extent of a first year graduate course. In addition some elementary facts regarding harmonic functions are aS$umed as known. For convenience we have listed these facts in the Appendix. Some notation is also explained there. Essentially all the proofs we give in the Notes are for Euclidean 3-space R3 and Newtonian potentials ~.:
Contents note 2. Electrostatics -- 3. Poisson’s Equation -- 4. Fundamental Solutions -- 5. Capacity -- 6. Energy -- 7. Existence of the Equilibrium Potential -- 8. Maximum Principle for Potentials -- 9. Uniqueness of the Equilibrium Potential -- 10. The Cone Condition -- 11. Singularities of Bounded Harmonic Functions -- 12. Green’s Function -- 13. The Kelvin Transform -- 14. Perron’s Method -- 15. Barriers -- 16. Kellogg’s Theorem -- 17. The Riesz Decomposition Theorem -- 18. Applications of the Riesz Decomposition -- 19. Appendix -- 20. References -- 21. Bibliography -- 22. Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-12727-8
Links to Related Works
Subject References:
Authors:
Corporate Authors:
Classification:
Catalogue Information 49169 Beginning of record . Catalogue Information 49169 Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating49169
. E-mail This Page
Quick Search