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The Mathematical Theory of Huygens' Principle

Bevan B. Baker and E. T. Copson
Publisher: 
American Mathematical Society
Publication Date: 
2003
Number of Pages: 
193
Format: 
Hardcover
Price: 
30.00
ISBN: 
978-0821834787
Category: 
General
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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  • The Analytical Representation of Huygens' Principle: 1 The principle of Huygens; 2 Huygens' construction as a contact-transformation; 3 The propagation of sound waves in air; 4 Huygens' principle for monochromatic phenomena; 5; Wave-motions in three dimensions; 6 Wave-motions in two dimensions; 7 Marcel Riesz's solution of the equation of cylindrical waves
  • Huygens' Principle and the Theory of Diffraction: 1 Kirchhoff's theory of diffraction; 2 Maggi's transformation; 3 Diffraction by a black half-plane; 4 Kottler's theory of diffraction by a black screen
  • Huygens' Principle for Electromagnetic Waves: 1 Huygens' principle and Maxwell's equations; 2 The failure of the Kirchhoff and the Larmor-Tedone formulæ; 3 Kottler's formulation of Huygens' principle for electromagnetic waves; 4 The diffraction of electromagnetic waves by a black screen
  • Sommerfeld's Theory of Diffraction: 1 Sommerfeld's many-valued wave-functions; 2 The diffraction of plane-polarized light by a reflecting half-plane; 3 Diffraction of plane-polarized light by a black half-plane
  • Diffraction by a Plane Screen: 1 Introduction; 2 Diffraction of sound by a plane screen; 3 Diffraction of electromagnetic waves; 4 Sommerfeld's diffraction problem; 5 Schwarzschild's diffraction problem; 6 Approximate solutions
  • Index

Dummy View - NOT TO BE DELETED