Study Of Linear And Nonlinear Models With "Mathematica"

The book "Mathematical Modeling in Mechanics and Mathematical Physics with Mathematica" is dedicated to using the Mathematica software package to model physical systems and fields. It provides a clear and concise presentation of classic issues in nonlinear mechanics, oscillations, and linear problems, with accompanying codes and supplementary materials available on the publisher's website.

Format: Hardback
Length: 336 pages
Publication date: 30 January 2023
Publisher: World Scientific Publishing Co Pte Ltd

The book is a comprehensive resource dedicated to the challenges of modeling physical systems and fields using the powerful tools and capabilities of the Mathematica software package. In the realm of teaching classical courses in mechanics and mathematical physics, one frequently encounters significant obstacles stemming from the complexity of the mathematical apparatus, which can divert attention away from the core issues at hand. However, the utilization of the Mathematica package, renowned for its extensive array of analytical and graphic tools, greatly enhances the clarity and transparency of presenting classic topics related to modeling and interpreting physical processes. This package empowers the visualization of both analytical solutions of nonlinear differential equations and solutions obtained through infinite series or specialized functions.

The textbook is structured into two distinct parts, which can be studied independently of each other. The first part delves into the realm of nonlinear mechanics and the theory of oscillations, providing a solid foundation for understanding complex dynamic systems. The second part encompasses linear problems of classical mathematical physics and nonlinear evolution models, encompassing a wide range of phenomena such as transport phenomena, wave propagation, and other relevant applications.

In addition to its theoretical content, the book includes comprehensive codes of programs written within the Mathematica package environment. These codes serve as practical examples and facilitate hands-on learning for students. Furthermore, supplementary materials of programs are available on the publisher's website, further enriching the learning experience and complementing the presented material.

By leveraging the power of Mathematica, this book empowers students and researchers to explore the complexities of physical systems and fields with greater precision and efficiency, enabling them to make meaningful contributions to the field of mathematics and physics.

ISBN-13: 9789811266225