Название: Mathematical Modeling
Автор: J.N. Kapur, PhD
Издательство: Mercury Learning and inforMation
Год: 2023
Страниц: 287
Язык: английский
Формат: pdf (true)
Размер: 23.3 MB

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.

Each subsequent chapter deals with mathematical modeling through one or more specific techniques. Thus, we consider mathematical modeling through ordinary differential equations of first and second order; systems of ordinary differential equations; difference equations; functional equations; integral, integro-differential, differential-difference, delay-differential, and partial differential equations; graph theory concepts; linear and nonlinear programming; dynamic programming, through calculus of variations; maximum principle; and the maximum entropy principle.

Features:

Provides a balance between theory and applications
Features models from the physical, biological, social, economic, management, and engineering sciences