The Mathematical Analysis of Electrical and Optical Wave-Motion: On the Basis of Maxwell's Equations

ISBN-13: 9781316626122 / Angielski / Miękka / 2016 / 170 str.

Bateman, H.

Opis

Originally published in 1915, this textbook was written by English mathematician Harry Bateman (1882-1946) and 'is intended as an introduction to some recent developments of Maxwell's electromagnetic theory which are directly connected with the solution of the partial differential equation of wave-motion'. Notably, 'the higher developments of the theory which are based on the dynamical equations of motion are not considered'. Instead the book focuses on an overview of the theory of this vast subject, bringing into view the most recent developments. An extensive knowledge and understanding of mathematics is considered a pre-requisite, as is knowledge on the existing theorems surrounding such study. Interestingly, chapter eight contains some of Bateman's own contributions to the subject. This dynamic and engaging book outlines the theory of electrical and optical wave-motion, summarising the fundamental ideas of the subject and will be of considerable value to scholars of physics.

Spis treści

1. Fundamental ideas; 2. General survey of the different methods of solving the wave-equation; 3. Polar coordinates; 4. Cylindrical coordinates; 5. The problem of diffraction; 6. Transformations of coordinates appropriate for the treatment of problems connected with a surface of revolution; 7. Homogeneous solutions of the wave-equation; 8. Electromagnetic fields with moving singularities; 9. Miscellaneous theories; List of authors quoted; Index.