Information Theory and Stochastics for Multiscale Nonlinear Systems

Majda, Andrew J.; Abramov, Rafail V., Grote, Marcus J.

ISBN 10: 0821838431 / ISBN 13: 9780821838433

Verlag: American Mathematical Society, Centre de Recherches Mathematiques, 2005

Beschreibung

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

Bibliografische Details

• Titel: Information Theory and Stochastics for Multiscale Nonlinear Systems
• Verlag: American Mathematical Society, Centre de Recherches Mathematiques
• Erscheinungsjahr: 2005
• Sprache: Englisch
• ISBN-10: 0821838431
• ISBN-13: 9780821838433
• Einband: Hardcover
• Auflage: 1st Edition
• Zustand: Very Good
• Verkäuferkataloge:
  • Mathematics

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.