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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

Keine Beschreibung.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

Excerpt from Basic Mathematical Research for Electromagnetic TheoryThough the effect of the ionosphere on electromagnetic wave propagation has been studied for fifty years, definitive results are lacking. The reason is that the ionosphere in the presence of the earth's magnetic field presents a nonhomogeneous anisotropic medium with several parameters such as collision frequency, the gyromagnetic frequency of the electrons, and density of the ...

Excerpt from Magneto-HydrodynamicsIn the study of turbulence without magnetic fields, useful theories have been constructed frum essentially dimensional arguments, a notable suc cess being the Kolmogorov similarity theory. Similar attempts in the analysis of hydromagnetic turbulence meet with much more severe difficulties because the greater number of physical parameters which are of importance do not appear to permit unambiguous dimensional r...

Excerpt from An Asymptotic Solution of Linear Second-Order Hyperbolic Differential EquationsCambridge Research Laboratories or Communications on Pure and Applied Mathematics, as opposed to the system of first-order Maxwell equations. While the general principles underlying this development are the same as those previously employed. The details of proof are quite different and the resulting ordinary differential equations for the coefficients o...

Excerpt from A Note on the Expansion Coefficient of Geometrical OpticsIt is a purely algebraic, easily verifiable identity that n X curl n '5, no-5 n -grad nl.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the...

Excerpt from Theory of the Traveling Wave TubeFriedman, Bernard and Malin, Henry: Excitation of the Traveling Wave Tube, February, 1950.Friedman, Bernard and Malin, Henry: Orthogonality Properties of the Modes of the Helical Wave Tube, October, 1950.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgott...

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Excerpt from Electromagnetic Theory and Geometrical Optics I. Introduction. It may seem unnecessary at this late date to discuss the relationship of electromagnetic theory to geometrical Op tics. The content of both fields is well known and everyone knows also that geometrical Optics is the limit for vanishing wave length of electromagnetic theory. Moreover, since Maxwell's theory supersedes the older geometrical optics, presumably, then, geo...

This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Originally published in 1972, it is now available as a three volume paperback edition. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the ri...

The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

In this book Kline examines the development of mathematics as our most powerful instrument for exploring the physical world. He probes our existing world of mathematics and illuminates its workings as a science enabling us to penetrate the secrets of the world's natural phenomena.

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Excerpt from Theory of the Traveling Wave Tube Phillips, Ralph The Electromagnetic Field Produced By a Helix, June, Friedman, Bernard and Malin, Henry: Excitation of the Traveling Wave Tube, February, 1950. Friedman, Bernard and Malin, Henry: Orthogonality Properties of the Modes of the Helical Wave Tube, October, 1950. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgotten...

Excerpt from Magneto-Hydrodynamics In the study of turbulence without magnetic fields, useful theories have been constructed from essentially dimensional arguments, a notable suc cess being the Kolmogorov similarity theory. Similar attempts in the analysis of hydromagnetic turbulence meet with much more severe difficulties because the greater number of physical parameters which are of importance do not appear to permit unambiguous dimensional...

Now available in a new three-volume paperback edition, Morris Kline's monumental work presents the major creations in mathematics from its beginnings in Babylonia and Egypt through the first few decades of the twentieth century.

Excerpt from Electromagnetic Theory and Geometrical Optics I. Introduction. It may seem unnecessary at this late date to discuss the relationship of electromagnetic theory to geometrical Op tics. The content of both fields is well known and everyone knows also that geometrical Optics is the limit for vanishing wave length of electromagnetic theory. Moreover, since Maxwell's theory supersedes the older geometrical optics, presumably, then, geo...