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Information Theory and Stochastics for Multiscale Nonlinear Systems (CRM Monograph Series, 25, Band 25) - Hardcover
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This book introduces mathematicians to the emerging mathematical interplay between ideas from stochastics and information theory and important practical issues in the study of 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. The author is affiliated with the University of Montreal, Canada. There is no subject index. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
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Information Theory and Stochastics for Multiscale Nonlinear Systems
ISBN 10: 0821838431
ISBN 13: 9780821838433
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Hardcover. Zustand: Very Good. 1st Edition. First Edition, Academic Text. 4to, case wrapped binding. Two bumped corners and one along edge. Textblock is pristine and unmarked. Volume 25 of the "CRM Monograph Series." 133pp. #210455 [Science Case - Math]. Bestandsnummer des Verkäufers ABE-1750283404840
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Information Theory and Stochastics for Multiscale Nonlinear Systems: Vol.25: CRM Monograph Series
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American Mathematical Society, Rhode Island, 2005
ISBN 10: 0821838431
ISBN 13: 9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems
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Information Theory and Stochastics for Multiscale Nonlinear Systems (CRM Monograph)
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American Mathematical Society, 2005
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ISBN 13: 9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems
Verlag:
American Mathematical Society, US, 2005
ISBN 10: 0821838431
ISBN 13: 9780821838433
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Hardback. Zustand: New. illustrated Edition. 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. Bestandsnummer des Verkäufers LU-9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems
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ISBN 13: 9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems
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American Mathematical Society, 2005
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Zustand: New. Emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling interact to explain complex phenomena. This book introduces various issues in multiscale modeling. Series: CRM Monograph Series. Num Pages: 133 pages, Illustrations. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 263 x 183 x 13. Weight in Grams: 470. . 2005. illustrated. hardcover. . . . . Bestandsnummer des Verkäufers V9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems
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American Mathematical Society, 2005
ISBN 10: 0821838431
ISBN 13: 9780821838433
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Zustand: New. Emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling interact to explain complex phenomena. This book introduces various issues in multiscale modeling. Series: CRM Monograph Series. Num Pages: 133 pages, Illustrations. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 263 x 183 x 13. Weight in Grams: 470. . 2005. illustrated. hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems (CRM Monograph Series, 25)
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ISBN 13: 9780821838433
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Information Theory and Stochastics for Multiscale Nonlinear Systems
Verlag:
American Mathematical Society, US, 2005
ISBN 10: 0821838431
ISBN 13: 9780821838433
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. illustrated Edition. 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. Bestandsnummer des Verkäufers LU-9780821838433
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