for Classical, Relativistic and Nano Systems
This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems.
The book delves into advanced topics in mathematical and physical modeling, emphasizing particle modeling and numerical methodologies. It covers qualitative Newtonian modeling, including elastic strings, solitons, and cavity flow, as well as the dynamics of liquid drops and gyroscopes. Quantitative modeling is explored through stress wave propagation, microdrop collisions, and crack development in materials. The text also addresses special relativistic motion and provides speculative models for molecular bonds, supplemented with FORTRAN programs and formulas for practical application.