Mathematical Modeling

J. N. Kapur

Published by Mercury Learning and Information 2023

Mathematical Modeling

J. N. Kapur

https://doi.org/10.1515/9781683928737

Overview
Contents

About this book

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 provides 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

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Author / Editor information

Kapur J. N. :

J. N. Kapur holds 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.

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	v
Preface Publicly Available Download PDF	xiii
Chapter 1: Mathematical Modeling: Need, Techniques, Classifications, and Simple Illustrations Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2: Mathematical Modeling through Ordinary Differential Equations of the First Order Requires Authentication Unlicensed Licensed Download PDF	31
Chapter 3: Mathematical Modeling through Systems of Ordinary Differential Equations of the First Order Requires Authentication Unlicensed Licensed Download PDF	55
Chapter 4: Mathematical Modeling through Ordinary Differential Equations of the Second Order Requires Authentication Unlicensed Licensed Download PDF	79
Chapter 5: Mathematical Modeling through Difference Equations Requires Authentication Unlicensed Licensed Download PDF	101
Chapter 6: Mathematical Modeling through Partial Differential Equations Requires Authentication Unlicensed Licensed Download PDF	129
Chapter 7: Mathematical Modeling through Graphs Requires Authentication Unlicensed Licensed Download PDF	157
Chapter 8: Mathematical Modeling through Functional, Integral, Delay-Differential, and Differential-Difference Equations Requires Authentication Unlicensed Licensed Download PDF	183
Chapter 9: Mathematical Modeling through Calculus of Variations and Dynamic Programming Requires Authentication Unlicensed Licensed Download PDF	209
Chapter 10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and Maximum-Entropy Principle Requires Authentication Unlicensed Licensed Download PDF	235
Appendix A: Mathematical Models Discussed in the Book Requires Authentication Unlicensed Licensed Download PDF	261
Appendix B: Supplementary Bibliography Requires Authentication Unlicensed Licensed Download PDF	265
Index Requires Authentication Unlicensed Licensed Download PDF	269

Language: English
Publisher: Mercury Learning and Information
Pages
- Main content: 300
Keywords: differential equations; graphs; functional; integral; calculus; mathematics; science; engineering

eBook

Published: February 15, 2023
ISBN: 9781683928737