Mathematics in the Modern World |
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Between 1995 and 2001 the Foundation ran a project sponsored
by the Department of Science and Technology, Government of India,
aimed at showing the applicability of Mathematics in solving
real life problems. The motive was to study important aspects
of mathematics and their applications in fields connected with
daily life, and to present them to a non-professional audience. |
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The project made extensive use of computers, especially in
the form of interactive programs that allow the viewer the opportunity
to work his own way through some of the arguments. It made it
possible for the layperson with a modest background in mathematics
to understand and appreciate the role, played by mathematics
in our everyday lives and in disciplines such as Economics,
Physics and Computer Science. It enabled faculty and students
to engage in interesting applications- oriented research work,
which is extremely relevant in industry and in the corporate
sector. The project helped us to spot and nurture enormous talent
in related areas. |
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We have exhibited this work at the annual meetings of the
Indian Science Congress held at Calcutta (1995), Delhi (1996),
Hyderabad (1998), Chennai (1999) and at IARI, Delhi (2001) and
at a science fair held in IIT (Delhi) in 2000. |
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Under this project we looked at several areas of applied mathematics.
Some of the areas looked at were: |
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RSA and other public (as well as private)
key cryptosystems |
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Error-correcting codes |
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Image recognition |
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The Radon transform and its use in computer-aided tomography |
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The pricing of futures and options and the Black-Scholes
theorem |
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Differential equations and the acoustics of Indian drums
and of Horns |
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Chaos |
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Fourier transforms and radio astronomy |
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Applications of graph theory |
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The mathematics behind computer graphics |
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Knot Theory and DNA |
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Theory of auctions |
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The Transportation Problem |
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The Knapsack Problem |
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Block designs and other combinatorial designs |
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Acoustics of concert halls |
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Boolean Algebra with applications to circuit designs |
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The Arrow's Dictator/Impossibility Theorem |
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The Gibbard-Satterthwaite Theorem |
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Squaring a Circle |
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