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Professor Lefschetz describes how his ‘magic number’ is applied to determine whether a surface has the fixed-point property i.e. that a continuous transformation must leave at least one point of the...
Lecture by Professor David Blackwell. A source sequentially generates zeros or ones and one must predict against it, with knowledge of success or failure after each prediction. What is the optimal strategy?...
Lecture by Professor Edwin Hewitt. Part 1: He presents five properties and proves that they characterise the Reimann integral. Part 2: He defines averages and describes the Riesz-representation theorem,...
The achievements of the late John von Neumann, built primarily on still photographs and recent interviews with noted mathematicians and others who worked with him.*
A lecture on the degree to which the shape of a vibrating membrane is determined by its eigen values, or normal modes of vibration. The history of the problem - which spans half a century of active research;...
The three films in this series are telerecordings of Professor Milnor lecturing to the Mathematical Association of America. Professor Milnor, who is regarded as the father of modern differential topology,...
Professor A S Besicovitch solves the problem of the minimum area needed to turn a unit horizontal length in the plane so that its direction is reversed. He shows that it can be done within an arbitrarily...
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