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Selected Works of Norman Levinson (Hardcover, 1997 ed.)
Loot Price: R14,450
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Selected Works of Norman Levinson (Hardcover, 1997 ed.)
Series: Contemporary Mathematicians
Expected to ship within 10 - 15 working days
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The deep and original ideas of Norman Levinson have had a lasting
impact on fields as diverse as differential & integral
equations, harmonic, complex & stochas tic analysis, and
analytic number theory during more than half a century. Yet, the
extent of his contributions has not always been fully recognized in
the mathematics community. For example, the horseshoe mapping
constructed by Stephen Smale in 1960 played a central role in the
development of the modern theory of dynami cal systems and chaos.
The horseshoe map was directly stimulated by Levinson's research on
forced periodic oscillations of the Van der Pol oscillator, and
specifi cally by his seminal work initiated by Cartwright and
Littlewood. In other topics, Levinson provided the foundation for a
rigorous theory of singularly perturbed dif ferential equations. He
also made fundamental contributions to inverse scattering theory by
showing the connection between scattering data and spectral data,
thus relating the famous Gel'fand-Levitan method to the inverse
scattering problem for the Schrodinger equation. He was the first
to analyze and make explicit use of wave functions, now widely
known as the Jost functions. Near the end of his life, Levinson
returned to research in analytic number theory and made profound
progress on the resolution of the Riemann Hypothesis. Levinson's
papers are typically tightly crafted and masterpieces of brevity
and clarity. It is our hope that the publication of these selected
papers will bring his mathematical ideas to the attention of the
larger mathematical community."
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