Nonlinear dynamics is explored through diverse examples across various fields, including mathematics, physics, and medicine. The book examines its significance in real-world applications, such as controlling the spread of diseases, the unpredictability of weather forecasts, and the dynamics of political competition. By illustrating these concepts, it highlights the complexity and interconnectedness of systems that govern our world.
This book offers over 200 innovative computer algebra worksheets designed for engineering, physics, and mathematics students. It presents fundamental concepts alongside practical applications, using stories and anecdotes to simplify complex topics. Suitable for classroom use, self-study, or online courses, it utilizes MAPLE for problem-solving.
Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.
Computer algebra systems allow students to work on mathematical models more efficiently than in the case of pencil and paper. The use of such systems also leads to fewer errors and enables students to work on complex and computationally intensive models. Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, and chemistry. The text includes a large number of Maple(R) recipes.