Introduction to Mathematical Modeling and Chaotic Dynamics

ISBN-13: 9780367379766 / Angielski / Miękka / 2019 / 363 str.

Ranjit Kumar Upadhyay; Satteluri R. K. Iyengar

Opis

Suitable for advanced undergraduate and graduate students, this text focuses on mathematical models in natural systems, particularly ecological systems. It provides a practical understanding of how the models are used in current natural science and engineering applications. Most of the models presented are solved using MATLAB^®. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.

Spis treści

Introduction to Mathematical Modeling. Modeling of Systems from Natural Science. Introduction to Chaotic Dynamics. Chaotic Dynamics in Model Systems from Natural Science. Modeling of Some Engineering Systems. Solutions to Odd-Numbered Problems. Index.

O autorze

Dr. Ranjit Kumar Upadhyay is a professor in the Department of Applied Mathematics at the Indian School of Mines. He has been teaching applied mathematics and mathematical modeling courses for more than 16 years. He is a member of the American Mathematical Society and the International Society of Computational Ecology, Hong Kong. His research areas include chaotic dynamics of real-world situations, population dynamics for marine and terrestrial ecosystems, disease dynamics, reaction–diffusion modeling, environmental modeling, differential equations, and dynamical systems theory.

Dr. Satteluri R.K. Iyengar is the dean of academic affairs and a professor of mathematics at Gokaraju Rangaraju Institute of Engineering & Technology. He was previously a professor and head of the Department of Mathematics at the Indian Institute of Technology New Delhi. He has been a professor for more than 22 years, has published numerous journal articles, and has been a recipient of several awards. His research areas encompass numerical analysis and mathematical modeling.