Field theory handbook : including coordinate systems, differential equations and their solutions
Author(s)
Bibliographic Information
Field theory handbook : including coordinate systems, differential equations and their solutions
Springer-Verlag, 1971
2nd ed
- U.S
- Germany
Available at / 53 libraries
-
Science and Technology Library, Kyushu University
Germany122/M-S027232002022306,
421.5/Mo 39/a068222188001942 -
Library, Research Institute for Mathematical Sciences, Kyoto University数研
GermanyMOO||2||1(2)1845580
-
The Institute for Solid State Physics Library. The University of Tokyo.図書室
Germany421.4:F137230016292
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: BerlinDC19:530.1/M7782070084480
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Note
Bibliography: p. [217]-225
Description and Table of Contents
Description
Let us first state exactly what this book is and what it is not. It is a compendium of equations for the physicist and the engineer working with electrostatics, magne- tostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions. But it is not a textbook and it does not cover relativistic and quantum phenomena. The history of classical physics may be regarded as an interplay between two ideas, the concept of action-at-a-distance and the concept of a field. Newton's equation of universal gravitation, for instance, implies action-at-a-distance. The same form of equation was employed by COULOMB to express the force between charged particles. AMPERE and GAUSS extended this idea to the phenomenological action between currents. In 1867, LUDVIG LORENZ formulated electrodynamics as retarded action-at-a-distance. At almost the same time, MAXWELL presented the alternative formulation in terms of fields.
In most cases, the field approach has shown itself to be the more powerful.
Table of Contents
I. Eleven coordinate systems.- II. Transformations in the complex plane.- III. Cylindrical systems.- IV. Rotational systems.- V. The vector Helmholtz equation.- VI. Differential equations.- VII. Functions.- Appendix. Symbols.- Author Index.
by "Nielsen BookData"