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The Theory of Potential and Spherical Harmonics
-
Wolfgang J. Sternberg
Language:
English
Published/Copyright:
1944
About this book
The book is designed chiefly for the use of students and teachers. The research worker will perhaps find some helpful suggestions, as well. The text offers a short introduction to vector analysis and a presentation of the Fredholm theory of integral equations. The theory of spherical harmonics is also briefly explained.
Author / Editor information
Sternberg Wolfgang J. :
WOLFGANG J. STERNBERG is Research Associate at Cornell University.Smith Turner L. :
TURNER L. SMITH is Assistant Professor at Carnegie Institute of Technology.
Topics
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Frontmatter
i -
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PREFACE
v -
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CONTENTS
vii -
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INTRODUCTION
1 -
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I. THE NEWTONIAN LAW OF GRAVITY
7 -
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II. CONCEPT OF POTENTIAL
19 -
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III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY
48 -
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IV. ANALYTIC CHARACTER OF THE POTENTI..\L. SPHERICAL HARMONICS
77 -
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V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS
126 -
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VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS
167 -
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VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY
180 -
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VIII. THE POISSON INTEGRAL IN THE PLANE
193 -
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IX. THE' POISSON INTEGRAL IN SPACE
245 -
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X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS
259 -
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XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS
287 -
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INDEX
311
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 15, 1944
eBook ISBN:
9781487574178
Pages and Images/Illustrations in book
Main content:
324
eBook ISBN:
9781487574178
Audience(s) for this book
College/higher education;Professional and scholarly;
