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INTRODUCTION

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© 2019 University of Toronto Press, Toronto

© 2019 University of Toronto Press, Toronto

Chapters in this book

  1. Frontmatter i
  2. PREFACE v
  3. CONTENTS vii
  4. INTRODUCTION 1
  5. I. THE NEWTONIAN LAW OF GRAVITY 7
  6. II. CONCEPT OF POTENTIAL 19
  7. III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY 48
  8. IV. ANALYTIC CHARACTER OF THE POTENTI..\L. SPHERICAL HARMONICS 77
  9. V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS 126
  10. VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS 167
  11. VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY 180
  12. VIII. THE POISSON INTEGRAL IN THE PLANE 193
  13. IX. THE' POISSON INTEGRAL IN SPACE 245
  14. X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS 259
  15. XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS 287
  16. INDEX 311
The Theory of Potential and Spherical Harmonics
This chapter is in the book The Theory of Potential and Spherical Harmonics
https://doi.org/10.3138/9781487574178-002

Chapters in this book

  1. Frontmatter i
  2. PREFACE v
  3. CONTENTS vii
  4. INTRODUCTION 1
  5. I. THE NEWTONIAN LAW OF GRAVITY 7
  6. II. CONCEPT OF POTENTIAL 19
  7. III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY 48
  8. IV. ANALYTIC CHARACTER OF THE POTENTI..\L. SPHERICAL HARMONICS 77
  9. V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS 126
  10. VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS 167
  11. VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY 180
  12. VIII. THE POISSON INTEGRAL IN THE PLANE 193
  13. IX. THE' POISSON INTEGRAL IN SPACE 245
  14. X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS 259
  15. XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS 287
  16. INDEX 311
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