This book can be used in courses on mathematical modeling at the senior undergraduate or graduate level, or used as a reference for in-service scientists and engineers. The book aims to provide an overview of mathematical modeling through a panoramic view of applications of mathematics in science and technology. In each chapter, mathematical models are chosen from the physical, biological, social, economic, management, and engineering sciences. The models deal with different concepts, but have a common mathematical structure and bring out the unifying influence of mathematical modeling in different disciplines.
Features
+Provides a balance between theory and applications
+Features models from the physical, biological, social, economic, management, and engineering sciences
Table of Contents
1: Mathematical Modeling: Need, Techniques, Classifications, and Simple Illustrations. 2: Mathematical Modeling through Ordinary Differential Equations of the First Order. 3: Mathematical Modeling through Systems of Ordinary Differential Equations of the First Order. 4: Mathematical Modeling through Ordinary Differential Equations of the Second Order. 5: Mathematical Modeling through Difference Equations. 6: Mathematical Modeling through Partial Differential Equations. 7: Mathematical Modeling through Graphs. 8: Mathematical Modeling through Functional, Integral, Delay-Differential and Differential-Difference Equations. 9: Mathematical Modeling through Calculus of Variations and Dynamic Programming.10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and the Maximum-Entropy Principle.
About the Author
J.N. Kapurholds a PhD and has taught courses worldwide on mathematical modeling.
He has also written books on mathematical models in biology and medicine, and maximum entropy models in science and engineering.
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