The scientific computational components are presented using the software program Mathematica, both in worked examples and in the end-of-chapter problems. Special attention is given to classical mechanics models in light of new computational methods and concepts from dynamical systems. The book's nine chapters are organized into three unified parts: mathematical methods for differential equations; methods of classical mechanics; and dynamics, stochastic models and discretization of continuous models.

Features and Topics

Unified modeling perspective (modeling, analytical methods and computational methods) Numerous worked examples, many using realistic applications from physical models in mechanics and dynamics End-of-chapter problem sets, many involving use of Mathematica programs Special appendix on Mathematica functions programming and the 25 programs utilized in the book Concise review material in appendices: numerical methods and ordinary differential equations, classical mechanics of rigid bodies, and kinematic quantities and calculations of mechanical quantities.

This book is an essential text/reference for advanced students, graduates and practitioners in mechanics, scientific computing, physics and mathematical modeling. It is also suitable as a self-study resource for professionals and others seeking an understanding of the subject from a modeling perspective.