Applied Mathematics
The interaction of Wolfgang Haack is at the interface between mathematics and mechanics. His research areas ranging from the mechanics of differential geometry and partial differential equations to numerical mathematics. In particular, he dealt with both elliptical and with hyperbolic partial differential equations of the first order. Coming from differential geometry, Pfaff's differential forms were always of special concern to him. As an engineer, he was always focussed on applied research, such as gas dynamics in supersonic flows. During his time in Berlin, he supervised over a dozen dissertations.
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“The insidiousness of science lies in its claim to be not a subject, but a method. You could ignore a subject; no subject is all-inclusive. But a method can plausibly be applied to anything within the field of consciousness.”
—Katharine Fullerton Gerould (1879–1944)