Description
A great deal can be learned through modeling and mathematical analysis about real-life phenomena, even before numerical simulations are used to accurately portray the specific configuration of a situation. Scientific computing also becomes more effective and efficient if it is preceded by some preliminary analysis. These important advantages of mathematical modeling are demonstrated by models of historical importance in an easily understandable way.
The organization of Mathematical Models and Their Analysis groups models by the issues that need to be addressed about the phenomena. The new approach shows how mathematics effective for one modeled phenomenon can be used to analyze another unrelated problem. For instance, the mathematics of differential equations useful in understanding the classical physics of planetary models, fluid motion, and heat conduction is also applicable to the seemingly unrelated phenomena of traffic flow and congestion, offshore sovereignty, and regulation of overfishing and deforestation. The formulation and in-depth analysis of these and other models on modern social issues, such as the management of exhaustible and renewable resources in response to consumption demands and economic growth, are of increasing concern to students and researchers of our time.
The modeling of current social issues typically starts with a simple but meaningful model that may not capture all the important elements of the phenomenon. Predictions extracted from such a model may be informative but not compatible with all known observations; so the model may require improvements. The cycle of model formulation, analysis, interpretation, and assessment is made explicit for the modeler to repeat until a model is validated by consistency with all known facts.
About the Author
Frederic Y. M. Wan has been a Professor of Mathematics at the University of California, Irvine since 1995, where he was also Chancellor for Research and Dean of Graduate Studies, 1995-2000. He has previously held positions on the mathematics faculty at MIT and as the founding Director of the Institute of Applied Mathematics and Statistics at the University of British Columbia, President of the American Academy of Mechanics (AAM), President of the Canadian Applied Mathematics Society (CAMS/SCMA), and founding Chair of the Department of Applied Mathematics at the University of Washington. He was Chair of the Committee of Pure and Applied Mathematics of the Natural Science and Engineering Council of Canada and Director of the National Science Foundation's Division of Mathematical Sciences, the only person to have held both positions. He is a fellow of AAM, ASME, AAAS, and SIAM.
Book Information
ISBN 9781611975260
Author Frederic Y.M. Wan
Format Paperback
Page Count 402
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 875g
The organization of Mathematical Models and Their Analysis groups models by the issues that need to be addressed about the phenomena. The new approach shows how mathematics effective for one modeled phenomenon can be used to analyze another unrelated problem. For instance, the mathematics of differential equations useful in understanding the classical physics of planetary models, fluid motion, and heat conduction is also applicable to the seemingly unrelated phenomena of traffic flow and congestion, offshore sovereignty, and regulation of overfishing and deforestation. The formulation and in-depth analysis of these and other models on modern social issues, such as the management of exhaustible and renewable resources in response to consumption demands and economic growth, are of increasing concern to students and researchers of our time.
The modeling of current social issues typically starts with a simple but meaningful model that may not capture all the important elements of the phenomenon. Predictions extracted from such a model may be informative but not compatible with all known observations; so the model may require improvements. The cycle of model formulation, analysis, interpretation, and assessment is made explicit for the modeler to repeat until a model is validated by consistency with all known facts.
About the Author
Frederic Y. M. Wan has been a Professor of Mathematics at the University of California, Irvine since 1995, where he was also Chancellor for Research and Dean of Graduate Studies, 1995-2000. He has previously held positions on the mathematics faculty at MIT and as the founding Director of the Institute of Applied Mathematics and Statistics at the University of British Columbia, President of the American Academy of Mechanics (AAM), President of the Canadian Applied Mathematics Society (CAMS/SCMA), and founding Chair of the Department of Applied Mathematics at the University of Washington. He was Chair of the Committee of Pure and Applied Mathematics of the Natural Science and Engineering Council of Canada and Director of the National Science Foundation's Division of Mathematical Sciences, the only person to have held both positions. He is a fellow of AAM, ASME, AAAS, and SIAM.
Book Information
ISBN 9781611975260
Author Frederic Y.M. Wan
Format Paperback
Page Count 402
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 875g
