Information Theory and Stochastics for Multiscale Nonlinear Systems (CRM Monograph Series)

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9780821838433: Information Theory and Stochastics for Multiscale Nonlinear Systems (CRM Monograph Series)
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This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophysical flows. The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda's Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required. About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R.V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995.

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1.

Rafail V. Abramov, and Marcus J. Grote Andrew J. Majda
Editorial: American Mathematical Society, Centre de Recherches Mathematiques (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Sequitur Books
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Descripción American Mathematical Society, Centre de Recherches Mathematiques, 2005. Hardcover. Estado de conservación: New. Brand new. We distribute directly for the publisher. This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena.After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophysical flows. The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction.Based on A. Majda's Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required. Nº de ref. de la librería 1007080031

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Andrew Majda, Marcus J. Grote
Editorial: American Mathematical Society, United States (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción American Mathematical Society, United States, 2005. Hardback. Estado de conservación: New. Illustrated edition. 260 x 178 mm. Language: English . Brand New Book. This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter s Red Spot for geophysical flows.The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda s Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required.About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R. V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995. Nº de ref. de la librería AAN9780821838433

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Andrew Majda, Marcus J. Grote
Editorial: American Mathematical Society, United States (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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The Book Depository US
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Descripción American Mathematical Society, United States, 2005. Hardback. Estado de conservación: New. Illustrated edition. 260 x 178 mm. Language: English . Brand New Book. This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter s Red Spot for geophysical flows.The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda s Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required.About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R. V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995. Nº de ref. de la librería AAN9780821838433

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Majda, Andrew J.; Grote, Marcus J.
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218384330000000

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Andrew Majda
Editorial: American Mathematical Society (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción American Mathematical Society, 2005. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821838433

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Andrew Majda, Marcus J. Grote
Editorial: American Mathematical Society
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Information Theory and Stochastics for Multiscale Nonlinear Systems (Illustrated edition), Andrew Majda, Marcus J. Grote, This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophysical flows.The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda's Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required.About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R. V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995. Nº de ref. de la librería B9780821838433

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Andrew J. Majda, Rafail V. Abramov, and Marcus J. Grote
Editorial: American Mathematical Society, Centre de Recherches Mathematiques (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción American Mathematical Society, Centre de Recherches Mathematiques, 2005. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821838431

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Rafail V. Abramov, and Marcus J. Grote Andrew J. Majda
Editorial: American Mathematical Society, Centre de Recherches Mathematiques (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción American Mathematical Society, Centre de Recherches Mathematiques, 2005. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821838431

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Majda, Andrew J./ Abramov, Rafail V./ Grote, Marcus J.
Editorial: American Mathematical Society (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción American Mathematical Society, 2005. Hardcover. Estado de conservación: Brand New. illustrated edition. 133 pages. 10.24x7.01x0.55 inches. In Stock. Nº de ref. de la librería __0821838431

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Majda, Andrew J./ Abramov, Rafail V./ Grote, Marcus J.
Editorial: Amer Mathematical Society (2005)
ISBN 10: 0821838431 ISBN 13: 9780821838433
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Descripción Amer Mathematical Society, 2005. Hardcover. Estado de conservación: New. 17.78 x 25.4 cm. Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. Nº de ref. de la librería MM-23809476

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