# Mathematical Modelling by J.N. Kapur: A Book Review

## Mathematical Modelling by J.N. Kapur: A Book Review

Mathematical modelling is the process of using mathematical concepts and methods to represent and analyze real-world phenomena. It is a powerful tool for understanding and solving complex problems in science, engineering, economics, social sciences and many other fields.

One of the books that introduces the basics of mathematical modelling is Mathematical Modelling by J.N. Kapur, published in 1988 by Wiley. The author, Jagat Narain Kapur, was a professor of mathematics at the Indian Institute of Technology Delhi and a pioneer of fuzzy logic and information theory in India.

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The book covers various topics related to mathematical modelling, such as linear and nonlinear models, discrete and continuous models, deterministic and stochastic models, optimization and simulation techniques, dimensional analysis and scaling, sensitivity analysis and model validation. It also provides examples and applications of mathematical modelling in various fields, such as ecology, epidemiology, population dynamics, traffic flow, queuing theory, inventory control, reliability theory, cryptography and game theory.

The book is intended for undergraduate and graduate students of mathematics, engineering and science who want to learn the principles and methods of mathematical modelling. It is also useful for researchers and practitioners who want to apply mathematical modelling to their own problems. The book assumes some basic knowledge of calculus, linear algebra, differential equations and probability theory.

The book is available for free download from the Internet Archive[^1^] [^2^]. It is also available for purchase from Google Books[^3^].Some of the benefits and uses of mathematical modelling are:

It is extremely precise, since it is based on mathematical concepts and methods, which allows for accurate and reliable results[^1^].

It is concise, with clear and established rules and formulas, which makes it easier to communicate and understand[^1^].

It provides direction and guidance when trying to solve a problem or answer a question, by breaking down complex systems into simpler components[^1^].

It allows for experimentation and exploration of different scenarios and possibilities, without having to perform costly or risky trials in reality[^2^].

It can be implemented using computers and software, which can perform calculations and simulations faster and more efficiently than humans[^1^].

It enhances the understanding of how a system or an object works, by revealing its underlying structure, behavior and patterns[^2^].

It can be applied to a wide range of fields and disciplines, such as engineering, computer science, social science, natural science, economics, medicine and many more[^1^] [^2^].

It can help to design and optimize new technologies, products and services, by testing their feasibility, performance and impact before implementation[^2^].

Mathematical modelling is a powerful and versatile tool that can help us to explain and predict real-world phenomena, as well as to solve complex problems and make informed decisions. 0efd9a6b88

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