The evolution of mathematical physics : being the Rouse Ball lecture for 1924

In this classic lecture the speaker maps the growth of mathematical physics from its earliest abstractions to the sophisticated frameworks of the early twentieth century. He weaves together the personalities behind the ideas—Euler, Lagrange, Bernoulli, and their successors—while noting their missteps as well as their triumphs. The emphasis is on the evolving mathematical language that has dressed physical theories, not on the theories themselves.

The talk then shows how a single abstract scheme can be assigned to such diverse phenomena as heat conduction, fluid flow, elasticity, magnetism, electricity and light, revealing deep analogies across the spectrum. By anchoring the narrative in milestones like Poisson’s 1807 memoir on sound, the lecture highlights the continuity that links eighteenth‑century differential equations to modern field theory. Listeners come away with a clearer sense of why the same symbols recur, and how historic breakthroughs still shape today’s scientific imagination.