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If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus.

Monday
Apr 28, 2025

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About Dusa McDuff

Dusa McDuff

Dusa McDuff

Dusa McDuff (born Margaret Dusa Waddington in London on 18 October 1945) is an English mathematician whose first work was in the field of von Neumann algebras (notably, she proved the existence of infinitely many type I I 1 factors). She has more recently made fundamental and wide-ranging contributions to symplectic geometry, especially in connection with Gromov's pseudoholomorphic curves.

Dusa McDuff was born in London as the daughter of the noted biologist Conrad Hal Waddington. Her mother, Justin, was an architect, while her maternal grandmother was the feminist Amber Reeves, a close friend of H.G. Wells and an author in her own right. McDuff's early education was at Edinburgh. After graduating from the University of Edinburgh, she went on to University of Cambridge, and after that taught at York University and University of Warwick. She moved to the United States and since has taught at the State University of New York at Stony Brook. Her husband is Fields medalist John Milnor, another mathematician at Stony Brook. McDuff is a Fellow of the Royal Society (1994), a Noether Lecturer (1998) and a member of the United States National Academy of Sciences (1999). With Dietmar Salamon, she co-authored the standard textbooks Introduction to Symplectic Topology and J-Holomorphic Curves and Symplectic Topology.

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