There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.
The emphasis is on nonlinear engineering models and equations as opposed to linear models
Linear models and equations are treated conveniently as just special cases of more general nonlinear models
For each chapter and topic area covered, the theory is discussed and computer code is developed and presented such that the reader can conveniently apply the developed code to practical engineering problems
For each topic covered at least one approach is extensively developed leading to working computer code that can be applied to nonlinear problems
The computer code is developed in a modern scripting language that is very easy to program and understand by the reader