Work
Bromwich worked in both algebra and analysis. G. H. Hardy called him "The best pure mathematician among the applied mathematicians at Cambridge, and the best applied mathematician among the pure mathematicians".
Today, Bromwich is perhaps best known for justifying Oliver Heaviside's operator calculus. Part of this involved using a contour integral to do an inverse Laplace transform. This particular contour integral is now often called the Bromwich integral, although it is also called by other names.
Other topics Bromwich investigated include solutions of the Maxwell's equations, and the scattering of electromagnetic plane waves by spheres. He also investigated, and wrote a book on, the theory of quadratic forms.
In 1908 he wrote An introduction to the theory of infinite series. A second edition appeared in 1926. G. H. Hardy praised the book highly, while criticizing the way in which it was laid out. The book is still in print.
Read more about this topic: Thomas John I'Anson Bromwich
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