Volume and Surface Integrals Used in Physics Cambridge Tracts in Mathematics Series

First published in 1913, as the second edition of a 1905 original, this book is the first volume in the Cambridge Tracts in Mathematics and Mathematical Physics Series. The text provides a concise account regarding volume and surface integrals used in physics. This book will be of value to anyone with an interest in integrals and physics.

Introduction; 1. On the validity of volume-integral expressions for the potential and the components of attraction of a body of discontinuous structure; 2. Potentials and attractions of accurately continuous bodies; 3. Volume integrals; 4. Theorems connecting volume and surface integrals; 5. The differentiation of volume integrals; 6. Applications to potential theory; 7. Applications to theory of magnetism; 8. Surface integrals; 9. Volume integrals through regions that extend to infinity; 10. Gauss's theorem in the theory of attractions; 11. Some hydrodynamical theorems.