Product Review
This thorough, modern exposition of classic numerical methods using MATLAB briefly develops the fundamental theory of each method. Rather than providing a detailed numerical analysis, the behavior of the methods is exposed by carefully designed numerical experiments. The methods are then exercised on several nontrivial example problems from engineering practice. This structured, concise, and efficient book contains a large number of examples of two basic types—One type of example demonstrates a principle or numerical method in the simplest possible terms. Another type of example demonstrates how a particular method can be used to solve a more complex practical problem. The material in each chapter is organized as a progression from the simple to the complex. Contains an extensive reference to using MATLAB. This includes interactive (command line) use of MATLAB, MATLAB programming, plotting, file input and output. For a practical and rigorous introduction to the fundamentals of numerical computation.
- Clarity—Development of the numerical methods is self-contained, complete, and uncluttered. Each chapter begins with the simplest routine for a particular class of problems, and then develops progressively more sophisticated routines. The goal is not necessarily to be exhaustive, but rather to introduce more powerful methods as enhancements to simpler methods. At the end of the chapter the student is prepared to use the built-in MATLAB routines correctly and with confidence. Ex.___
- At the end of the chapter the student is prepared to use the built-in MATLAB routines correctly and with confidence. Ex.___
- Emphasis Of Application Over Theory—The mathematical foundation of each method is developed, but the emphasis of the presentation is on the application of numerical methods. The text is well-suited to engineering students who need a rigorous presentation of the numerical algorithms, without getting bogged down in a theoretical treatment of each method. Ex.___
- The text is well-suited to engineering students who need a rigorous presentation of the numerical algorithms, without getting bogged down in a theoretical treatment of each method. Ex.___
- Companion Website—With many support resources. http://www.prenhall.com/rechtenwald
- Numerical Experiments—Behavior of the numerical methods is demonstrated by numerical experiments instead of by mathematical proof. The theoretical performance (e.g. convergence rate, truncation error) of a method is stated and then verified by solving a well-defined problem with known solution.
- MATLAB Reference—The book contains an extensive reference to using MATLAB. This includes interactive (command line) use of MATLAB, MATLAB programming, plotting, file input and output.
- NMM Toolbox—The code supplied with the book is organized into a library of reusable components. All programs in the NMM Toolbox are structured, concise, efficient, and use the MATLAB idiom. The Toolbox contains almost 150 programs and over forty data sets from a variety of applications. Once the NMM Toolbox is installed readers can execute all of the examples in the book and apply the NMM Toolbox code to problems of their own choosing. Ex.___
- Once the NMM Toolbox is installed readers can execute all of the examples in the book and apply the NMM Toolbox code to problems of their own choosing. Ex.___
- Over 130 Examples—Each chapter contains a large number of examples of two basic types. One type of example demonstrates a principle or numerical method in the simplest possible terms. Another type of example demonstrates how a particular method can be used to solve a more complex practical problem.
- Over 300 Problems—End-of-Chapter problems cover all aspects of the methods presented in the book. Each problem is rated on a difficulty/effort scale.
- Flexibility—The book provides more material than would usually be covered in a one-semester course. The text is heavily cross-referenced so that supporting material from other chapters can be easily located.
- Supplemental Material—Study guides, lecture slides, and in-class worksheets are available via the web. This extensive supplemental material makes it easy to adopt and adapt the text according to the interests of an individual instructor. Ex.___
- This extensive supplemental material makes it easy to adopt and adapt the text according to the interests of an individual instructor. Ex.___
