TABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS

Kapitel in diesem Buch

1. Frontmatter i
2. PREFACE v
3. TABLE OF CONTENTS xi
4. CHAPTER I. DEFINITIONS, METHODS AND RESULTS 1
5. CHAPTER II. THE PRINCIPLES OP DIRICHLET AND THOMSON 42
6. CHAPTER III. APPLICATIONS OP THE PRINCIPLES OP DIRICHLET AND THOMSON TO ESTIMATION OP THE CAPACITY 63
7. CHAPTER IV. CIRCULAR PLATE CONDENSER 79
8. CHAPTER V. TORSIONAL RIGIDITY AND PRINCIPAL FREQUENCY 87
9. CHAPTER VI. NEARLY CIRCULAR AND NEARLY SPHERICAL DOMAINS 127
10. CHAPTER VIII. ON ELLIPSOID AND LENS 171
11. NOTE A. SURFACE-AREA AND DIRICHLET’S INTEGRAL 182
12. NOTE B. ON CONTINUOUS SYMMETRIZATION 200
13. NOTE C. ON SPHERICAL SYMMETRIZATION 205
14. NOTE D. ON A GENERALIZATION OF DIRICHLET’S INTEGRAL 211
15. NOTE E. HEAT-CONDUCTION ON A SURFACE 217
16. NOTE F. ON MEMBRANES AND PLATES 230
17. NOTE G. VIRTUAL MASS AND POLARIZATION 239
18. TABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS 247
19. BIBLIOGRAPHY 275
20. LIST OF SYMBOLS 278