Mathematical and Physical Papers 6 Volume Set

Volume 1: Preface; 1. On Fourier's expansions of functions in trigonometrical series; 2. Note on a passage in Fourier's Heat; 3. On the uniform motion of heat in homogeneous solid bodies, and its connection with the mathematical theory of electricity; 4. On the linear motion of heat. Part 1; 5. On the linear motion of heat. Part 2; 6. Propositions in the theory of attraction; 7. On the attraction of conducting and non-conducting electrified bodies; 8. Note on orthogonal isothermal surfaces; 9. On the equations of the motion of heat referred to curvilinear co-ordinates; 10. Elementary demonstration of Dupin's theorem; 11. Note on some points in the theory of heat; 12. Note on orthogonal isothermal surfaces; 13. Note on the law of gravity at the surface of a revolving homogeneous fluid; 14. Demonstration of a fundamental theorem in the mechanical theory of electricity; 15. On the reduction of the general equation of surfaces of the second order; 16. On the lines of curvature of surfaces of the second order; 17. Démonstration d'un théorème d'analyse; 18. Note sur les lois élémentaires d'électricité statique; 19. Extrait d'une lettre sur l'application du principe des images à la solution de quelques problèmes relatifs à la distribution d'éléctricite; 20. Note on induced magnetism in a plate; 21. On the mathematical theory of electricity in equilibrium; 22. Note on the rings and brushes in the spectra produced by biaxal crystals; 23. On the principal axes of a rigid body; 24. Note on M. Liouville's paper 'Sur une propriété de la couche électrique en équilibre à la surface d'un corps conducteur'; 25. On electrical images; 26. On the electric currents by which the phenomena of terrestrial magnetism may be produced; 27. On a mechanical representation of electric, magnetic, and galvanic forces; 28. On certain definite integrals suggested by problems in the theory of electricity; 29. On the forces experienced by small spheres under magnetic influence; and on some of the phenomena presented by diamagnetic substances; 30. On a system of magnetic curves; 31. Notes on hydrodynamics; 32. Système nouveau de coordonnés orthogonales; 33. Note sur une équation aux différences partielles qui se présente dans plusieurs questions de physique mathématique; 34. On the equilibrium of magnetic or diamagnetic bodies of any form, under the influence of the terrestrial magnetic force; 35. On the theory of electro-magnetic induction; 36. Theorems with reference to the solution of certain partial differential equations; 37. Note on the integration of the equations of equilibrium of an elastic solid; 38. On the mathematical theory of electricity in equilibrium; 39. On an absolute thermometric scale founded on Carnot's theory of the motive power of heat, and calculated from Regnault's observations; 40. Notes on hydrodynamics. On the vis-viva of a liquid in motion; 41. An account of Carnot's theory of the motive power of heat, with numerical results deduced from Regnault's experiments on steam; 42. On the theory of magnetic induction of crystalline substances; 43. Notes on a paper 'Problems respecting polygons in a plane'. By Robert Moon; 44. On the potential of a closed galvanic circuit of any form; 45. The effect of pressure in lowering the freezing point of water experimentally demonstrated; 46. On the forces experienced by inductively magnetized ferro-magnetic or dia-magnetic non-crystalline substances; 47. On a remarkable property of steam connected with the theory of the steam-engine; 48. On the dynamical theory of heat, with numerical results deduced from Mr Joule's equivalent of a thermal unit, and M. Regnault's observations on steam; 49. On the thermal effects of fluids in motion. By J. P. Joule and W. Thomson; 50. On thermodynamic motivity; 51. Experimental researches in thermo-electricity; 52. On the theory of magnetic induction in crystalli