Data Reduction and Error Analysis for the Physical Sciences by Philip Bevington, D. Keith Robinson

By Philip Bevington, D. Keith Robinson

The aim of this e-book is to supply an creation to the options of statistical research of information for college students on the undergraduate and graduate point, and to supply instruments for facts aid and mistake research mostly required within the actual sciences. The presentation is constructed from a realistic viewpoint, together with sufficient derivation to justify the consequences, yet emphasizing tools of dealing with information greater than idea. The textual content presents quite a few numerical and graphical options. computing device courses that aid those recommendations may be to be had on an accompanying web site in either Fortran and C++.

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However, it still appears to me most natural that the occurrence of electromagnetic fields of light must be associated with singular points just as the occurrence of electrostatic fields is in accordance with electron theory. It is not impossible that in such a theory all energy of the electromagnetic field could be regarded as localized at these singular points, exactly as in the old theory of action at a distance. I imagine each such singular point surrounded by a force field, which basically has the nature of a plane wave with an amplitude that decreases with the distance from the singular point.

Further particularization of the function [,1 could be determined on the basis of the following considerations. First, it must be such that the field equations are consistent with particle-like solutions to which one can ascribe finite masses and a charge, which, ideally, should be equal to the corresponding quantities for the electron. Second, these solutions must be everywhere regular (in particular at, = 0 and, = 00) and also (in the simplest case) static and spherically symmetric. Finally, there must be as many different solutions as types of charged particles exist.

The secure experimental basis and the theoretical depth of the equivalence principle, and also its heuristic strength, indicated the correctness and fruitfulness of the new approach to the solution of the problem of constructing a relativistic theory of gravitation. Einstein was to face great difficulties in this approach, however, associated with the attempt to go beyond the framework of special relativity and the relativistic program based on it (the fundamental principle of Lorentz covariance was shown to be invalid) and with the need to extend the equivalence principle to arbitrary gravitational fields (under conditions when there were no physical guides to a new class of admissible frames of reference and the space-time coordinates had lost their direct metrical significance).

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