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| Hardcover ISBN: | 978-0-8218-0415-5 |
| Product Code: | PSPUM/60 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| eBook ISBN: | 978-0-8218-9363-0 |
| Product Code: | PSPUM/60.E |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| Hardcover ISBN: | 978-0-8218-0415-5 |
| eBook ISBN: | 978-0-8218-9363-0 |
| Product Code: | PSPUM/60.B |
| List Price: | $274.00 $206.50 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 60; 1997; 405 ppMSC: Primary 31; 34; 35; 40; 42; 45; 46; 60; 62; 68; 81
This book contains lectures presented at the MIT symposium on the 100th anniversary of Norbert Wiener's birth held in October 1994. The topics reflect Wiener's main interests while emphasizing current developments.
In addition to lectures dealing directly with problems on which Wiener worked, such as potential theory, harmonic analysis, Wiener-Hopf theory, and Paley-Wiener theory, the book discusses the following topics:
- Fourier integral operators with complex phase (a contemporary successor to the Paley-Wiener theory)
- statistical aspects of quantum mechanics and of liquid crystals
- financial markets, including the new trading strategies for options based on Wiener processes
- statistical methods of genetic research
- models of the nervous system, pattern recognition, and the nature of intelligence
The volume includes reviews on Norbert Wiener's contributions from historical and current perspectives.
This book gives mathematical researchers an overview of new mathematical problems presented by other areas and gives researchers in other fields a broad overview of the ways in which advanced mathematics might be useful to them.
ReadershipGraduate students, mathematicians, statisticians, science historians, researchers and professionals in fields that use mathematics, such as molecular- and neurobiology, brain and cognitive science, electrical engineering, computer science, economics, technical financial analysis, and physics.
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Table of Contents
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Biographical and historical remarks
-
David Jerison and Daniel W. Stroock — Norbert Wiener [ MR 1460269 ]
-
Peter Elias — The rise and fall of cybernetics in the US and the USSR [ MR 1460270 ]
-
Dirk Struik — Reminiscences of Norbert Wiener [ MR 1460271 ]
-
Fagi Levinson — Speech by Fagi Levinson. [Recollections about Norbert Wiener.] [ MR 1460272 ]
-
Paul A. Samuelson — Some memories of Norbert Wiener [ MR 1460273 ]
-
Edited by David Jerison, Isadore M. Singer and Daniel W. Stroock — Pictures
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Scientific articles
-
Jean Bourgain — Gibbs measures, quasi-periodic solutions and nonlinear partial differential equations [ MR 1460274 ]
-
Lennart Carleson — Wiener’s Tauberian theorem [ MR 1460275 ]
-
Leon Ehrenpreis — The role of Paley-Wiener theory in partial differential equations [ MR 1460276 ]
-
Victor Guillemin — Paley-Wiener on manifolds [ MR 1460277 ]
-
Thomas Kailath — Norbert Wiener and the development of mathematical engineering [ MR 1460278 ]
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Nancy Kopell — Oscillating networks of neurons: mathematics and function [ MR 1460279 ]
-
Eric S. Lander — Mapping heredity: using probabilistic models and algorithms to map genes and genomes [ MR 1460280 ]
-
Andrew W. Lo — A non-random walk down Wall Street [ MR 1460281 ]
-
Paul Malliavin — Filtered Wiener space versus abstract Wiener space [ MR 1460282 ]
-
Vladimir Maz′ya — Unsolved problems connected with the Wiener criterion [ MR 1460283 ]
-
Robert C. Merton — On the role of the Wiener process in finance theory and practice: the case of replicating portfolios [ MR 1460284 ]
-
Sanjoy K. Mitter — Inference, learning, and recognition [ MR 1460285 ]
-
David Mumford — Issues in the mathematical modeling of cortical functioning and thought [ MR 1460286 ]
-
David R. Nelson and Randall D. Kamien — Polymer braids and iterated moiré maps [ MR 1460287 ]
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Tomaso Poggio — Networks that learn and how the brain works [ MR 1460288 ]
-
Charles S. Sanford, Jr. and Dan Borge — The risk management revolution [ MR 1460289 ]
-
Irving Segal — Complex noncommutative infinite-dimensional analysis and fermion-boson interactions [ MR 1460290 ]
-
Johannes Sjöstrand — Complex integral transforms, diffraction, resonances and phase space tunneling [ MR 1460291 ]
-
Thomas Spencer — Scaling, the free field and statistical mechanics [ MR 1460292 ]
-
Harold Widom — Wiener-Hopf integral equations [ MR 1460293 ]
-
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This book contains lectures presented at the MIT symposium on the 100th anniversary of Norbert Wiener's birth held in October 1994. The topics reflect Wiener's main interests while emphasizing current developments.
In addition to lectures dealing directly with problems on which Wiener worked, such as potential theory, harmonic analysis, Wiener-Hopf theory, and Paley-Wiener theory, the book discusses the following topics:
- Fourier integral operators with complex phase (a contemporary successor to the Paley-Wiener theory)
- statistical aspects of quantum mechanics and of liquid crystals
- financial markets, including the new trading strategies for options based on Wiener processes
- statistical methods of genetic research
- models of the nervous system, pattern recognition, and the nature of intelligence
The volume includes reviews on Norbert Wiener's contributions from historical and current perspectives.
This book gives mathematical researchers an overview of new mathematical problems presented by other areas and gives researchers in other fields a broad overview of the ways in which advanced mathematics might be useful to them.
Graduate students, mathematicians, statisticians, science historians, researchers and professionals in fields that use mathematics, such as molecular- and neurobiology, brain and cognitive science, electrical engineering, computer science, economics, technical financial analysis, and physics.
-
Biographical and historical remarks
-
David Jerison and Daniel W. Stroock — Norbert Wiener [ MR 1460269 ]
-
Peter Elias — The rise and fall of cybernetics in the US and the USSR [ MR 1460270 ]
-
Dirk Struik — Reminiscences of Norbert Wiener [ MR 1460271 ]
-
Fagi Levinson — Speech by Fagi Levinson. [Recollections about Norbert Wiener.] [ MR 1460272 ]
-
Paul A. Samuelson — Some memories of Norbert Wiener [ MR 1460273 ]
-
Edited by David Jerison, Isadore M. Singer and Daniel W. Stroock — Pictures
-
Scientific articles
-
Jean Bourgain — Gibbs measures, quasi-periodic solutions and nonlinear partial differential equations [ MR 1460274 ]
-
Lennart Carleson — Wiener’s Tauberian theorem [ MR 1460275 ]
-
Leon Ehrenpreis — The role of Paley-Wiener theory in partial differential equations [ MR 1460276 ]
-
Victor Guillemin — Paley-Wiener on manifolds [ MR 1460277 ]
-
Thomas Kailath — Norbert Wiener and the development of mathematical engineering [ MR 1460278 ]
-
Nancy Kopell — Oscillating networks of neurons: mathematics and function [ MR 1460279 ]
-
Eric S. Lander — Mapping heredity: using probabilistic models and algorithms to map genes and genomes [ MR 1460280 ]
-
Andrew W. Lo — A non-random walk down Wall Street [ MR 1460281 ]
-
Paul Malliavin — Filtered Wiener space versus abstract Wiener space [ MR 1460282 ]
-
Vladimir Maz′ya — Unsolved problems connected with the Wiener criterion [ MR 1460283 ]
-
Robert C. Merton — On the role of the Wiener process in finance theory and practice: the case of replicating portfolios [ MR 1460284 ]
-
Sanjoy K. Mitter — Inference, learning, and recognition [ MR 1460285 ]
-
David Mumford — Issues in the mathematical modeling of cortical functioning and thought [ MR 1460286 ]
-
David R. Nelson and Randall D. Kamien — Polymer braids and iterated moiré maps [ MR 1460287 ]
-
Tomaso Poggio — Networks that learn and how the brain works [ MR 1460288 ]
-
Charles S. Sanford, Jr. and Dan Borge — The risk management revolution [ MR 1460289 ]
-
Irving Segal — Complex noncommutative infinite-dimensional analysis and fermion-boson interactions [ MR 1460290 ]
-
Johannes Sjöstrand — Complex integral transforms, diffraction, resonances and phase space tunneling [ MR 1460291 ]
-
Thomas Spencer — Scaling, the free field and statistical mechanics [ MR 1460292 ]
-
Harold Widom — Wiener-Hopf integral equations [ MR 1460293 ]
