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1.

図書

図書
by Bevan B. Baker and E.T. Copson
出版情報: New York : Chelsea, 1987  vi, 193 p. ; 24 cm
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The Analytical Representation of Huygens' Principle
The principle of Huygens / 1:
Huygens' construction as a contact-transformation / 2:
The propagation of sound waves in air / 3:
Huygens' principle for monochromatic phenomena / 4:
Wave-motions in three dimensions / 5:
Wave-motions in two dimensions / 6:
Marcel Riesz's solution of the equation of cylindrical waves / 7:
Huygens' Principle and the Theory of Diffraction
Kirchhoff's theory of diffraction
Maggi's transformation
Diffraction by a black half-plane
Kottler's theory of diffraction by a black screen
Huygens' Principle for Electromagnetic Waves
Huygens' principle and Maxwell's equations
The failure of the Kirchhoff and the Larmor-Tedone formulae
Kottler's formulation of Huygens' principle for electromagnetic waves
The diffraction of electromagnetic waves by a black screen
Sommerfeld's Theory of Diffraction
Sommerfeld's many-valued wave-functions
The diffraction of plane-polarized light by a reflecting half-plane
Diffraction of plane-polarized light by a black half-plane
Diffraction by a Plane Screen
Introduction
Diffraction of sound by a plane screen
Diffraction of electromagnetic waves
Sommerfeld's diffraction problem
Schwarzschild's diffraction problem
Approximate solutions
Index
The Analytical Representation of Huygens' Principle
The principle of Huygens / 1:
Huygens' construction as a contact-transformation / 2:
2.

図書

図書
by E.T. Copson ...
出版情報: Oxford : The Clarendon press, 1935  448 p. ; 23 cm
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3.

図書

図書
E. T. Copson
出版情報: Cambridge ; New York : Cambridge University Press, 1975  vii, 280 p. ; 24 cm
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Preface
Partial differential equations of the first order / 1:
Characteristics of equations of the second order / 2:
Boundary value and initial value problems / 3:
Equations of hyperbolic type / 4:
Reimann's method / 5:
The equation of wave motions / 6:
Marcel Riesz's method / 7:
Potential theory in the plane / 8:
Subharmonic functions and the problem of Dirichlet / 9:
Equations of elliptic type in the plane / 10:
Equations of elliptic type in space / 11:
The equation of heat / 12:
Appendix
Books for further reading
Index
Preface
Partial differential equations of the first order / 1:
Characteristics of equations of the second order / 2:
4.

図書

図書
by E.T. Copson
出版情報: London : Cambridge University Press, 1965  120 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 55
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5.

図書

図書
E. T. Copson
出版情報: London : Cambridge Univ. Press, 1968  143 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 57
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Preface
Introduction / 1:
Metric spaces / 2:
Open and closed sets / 3:
Complete metric spaces / 4:
Connected sets / 5:
Compactness / 6:
Functions and mappings / 7:
Some applications / 8:
Further developments / 9:
Index
Preface
Introduction / 1:
Metric spaces / 2:
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