Computer Based Numerical and Statistical Techniques

by Manish Goyal

Advances in fields such as bioengineering, industrial engineering, and robotic design now require engineers and scientists to have a sound background in both numerical methods and statistical methods to optimize performance and minimize error in problem-solving applications. By joining statistical analysis with computer-based numerical methods, this book bridges the gap between theory and practice with software-based examples, flow charts, and applications. Designed for engineering and math students as well as practicing engineers and scientists, the book has numerous examples with in-text solutions. It covers the sequence of mathematical topics needed by the majority of university courses, including calculus, error-handling, and ODEs; in addition, the book covers statistical computation and testing of hypothesis usually omitted from numerical methods texts. Using flow charts and computer programs, the authors demonstrate how the mathematical concepts will be implemented in practical applications such as circuits, signal processing, and more. A CD-ROM with the source code (in C) for the in-text computer programs includes calculation routines and simulations; in addition MATLAB applications and other third-party software provide practical applications of the material discussed in the text. FEATURES Combines both statistical analysis and numerical techniques to solve modern applications Accompanied by a CD-ROM with source code, estimation/calculation programs, third party software (see About the CD-ROM) and figures Provides self-instruction exercises with numerous illustrations and examples with their worked-out solutions A separate Instructor s Resource CD with solutions, PowerPoint slides, and other third-party software is available to instructors when used as a textbook BRIEF TABLE OF CONTENTS 1. Introduction; 2. Errors; 3. Algebraic and Transcendental Equations; 4. Interpolation; 5. Numerical Integration and Differentiation; 6. Numerical Solution of Ordinary Differential Equations; 7. Statistical Computation; 8. Testing of Hypothesis; Sample Exam; About the CD-ROM; Index.

Paperback

First published October 25, 2010