"Very solid introductory text at the undergraduate level aimed at wide audience. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).ġ.3 Mathematics is the natural modeling languageġ.7 Classification of mathematical modelsĢ.7 Other phenomenological modeling approachesģ.1 Distinguished role of differential equationsĤ.11 Other mechanistic modeling approachesī R (programming language and software environment) The book relies exclusively upon open-source software which is available to everybody free of charge. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail.īased on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book.