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VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY
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Kapitel in diesem Buch
- Frontmatter i
- PREFACE v
- CONTENTS vii
- INTRODUCTION 1
- I. THE NEWTONIAN LAW OF GRAVITY 7
- II. CONCEPT OF POTENTIAL 19
- III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY 48
- IV. ANALYTIC CHARACTER OF THE POTENTI..\L. SPHERICAL HARMONICS 77
- V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS 126
- VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS 167
- VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY 180
- VIII. THE POISSON INTEGRAL IN THE PLANE 193
- IX. THE' POISSON INTEGRAL IN SPACE 245
- X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS 259
- XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS 287
- INDEX 311
Kapitel in diesem Buch
- Frontmatter i
- PREFACE v
- CONTENTS vii
- INTRODUCTION 1
- I. THE NEWTONIAN LAW OF GRAVITY 7
- II. CONCEPT OF POTENTIAL 19
- III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY 48
- IV. ANALYTIC CHARACTER OF THE POTENTI..\L. SPHERICAL HARMONICS 77
- V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS 126
- VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS 167
- VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY 180
- VIII. THE POISSON INTEGRAL IN THE PLANE 193
- IX. THE' POISSON INTEGRAL IN SPACE 245
- X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS 259
- XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS 287
- INDEX 311