Design Analysis
Mathematical Modeling of Nonlinear Systems

A 1999 text for graduate students and practising engineers, introducing mathematical modeling of engineering systems.

David E. Thompson (Author)

9780521621700, Cambridge University Press

Hardback, published 13 January 1999

296 pages, 147 b/w illus. 31 tables 98 exercises
25.4 x 17.8 x 1.7 cm, 0.73 kg

'This is a textbook intended for senior undergraduate or beginning graduate students. It is well written and carefully organized. The author intention is to teach students how to formulate and solve the problem. By both, the choice of problems and by the selection of those problems, it is a unique book. I believe that it would be very useful for every student to read this book or to take course where this book is used, before he or she chooses field for graduate studies in engineering. The variety of problems treated and the methods of solutions used would help student select his or her own field of research. In conclusion, this is an excellent undergraduate textbook for engineering students.' T. M. Atanackovic

An integral part of engineering design is the development of models that describe physical behavior or phenomena in mathematical terms. As engineering systems have become more complex, classic linear methods of modeling and analysis have proved inadequate, creating a need for nonlinear models to solve design problems. This 1999 text provides an introduction to mathematical modeling of linear and nonlinear systems, with an emphasis on the solution of nonlinear design problems. While encouraging the use of the computer as a tool for modeling and analysis, the aim is to discuss the basic concepts underlying computer techniques and to seek analytical solutions. Among topics covered are exact solution, numerical solution, graphical solution, and approximate solution methods; and the stability of nonlinear systems. Numerous examples show how to apply modeling methods to real engineering systems. The book also includes end-of-chapter problems and case studies of challenging design problems. Intended for advanced undergraduate or beginning graduate students, this text will also serve as a helpful reference for practising engineers.

Preface
Acknowledgments
1. The design process
2. Mathematical modeling
3. Exact solution methods
4. Numerical solution methods
5. Graphical solution methods
6. Approximate solution methods
7. The stability of nonlinear systems
8. Case studies
References
Index.

Subject Areas: Mechanical engineering [TGB]