Presenting numerous examples, algorithms, and industrial applications, Approximation Techniques for Engineers is your complete guide to the major techniques used in modern engineering practice. Whether you need approximations for discrete data of continuous functions, or you're looking for approximate solutions to engineering problems, everything you need is nestled between the covers of this book. Now you can benefit from Louis Komzsik's years of industrial experience to gain a working knowledge of a vast array of approximation techniques through this complete and self-contained resource.
Table of Contents:
DATA APPROXIMATIONS. Classical Interpolation Methods. Approximation with Splines. Least Squares Approximation. Approximation of Functions. Numerical Differentiation. Numerical Integration. APPROXIMATE SOLUTIONS. Nonlinear Equations in One Variable. Systems of Nonlinear Equations. Iterative Solution of Linear Systems. Approximate Solution of Eigenvalue Problems. Initial Value Problems. Boundary Value Problems. Closing Remarks. Index.
Review :
"This book is meant as a reference book for engineers and graduate students. The goal is to give a working knowledge of various approximation techniques of engineering practice. Therefore, many parts of the text contain either a computational example or an algorithm to enhance understanding and provide a template for the application of the considered technique. The more advanced topics are often illustrated by some of their industrial applications. ... The book achieves its objectives well, and it could additionally be used as a textbook on approximation techniques in an engineering or applied mathematics curriculum."
—Oleg Titow (Berlin), Zentralblatt MATH, 1250 — 1
"In this outstanding book the author gives a concise mathematical description of engineering approximation methods along with small computational examples to illustrate the numerical approaches. For future studies a short list of references is also given in each chapter. … I highly recommend Dr. Komzsik's book."
—Ortwin Ohtmer, Department of Mechanical and Aerospace Engineering, California State University, Long Beach
"This book is a well written and thorough examination of the wide range of approximation techniques used by engineers. The author has accumulated tremendous experience in applying such techniques to industrial problems, and the reader can benefit greatly from the computational examples in this book. Whether the reader is a student taking a class or a practicing engineer learning alone, this book would greatly enhance the learning process."
—John Brauer, Ph.D., IEEE Fellow, Program Director of Applied Technology Center™, Milwaukee School of Engineering, Wisconsin
"An amazing compilation ... Comprehensive and rigorous. Well structured and clearly described. Expertly demonstrated with numerical and graphical examples. Completed with references to seminal works. Dr. Komzsik masterly arranged all important data set approximation methods and non-exact computational solution procedures in this book, and explained them in a style that can be easily understood by everyone familiar with the mathematical and computational basics."
—Imre Horváth, Design Engineering, Delft University of Technology, the Netherlands, and Editor-in-Chief, Computer Aided Design
"Approximation Techniques for Engineers serves as an excellent reference book either to find the solution for a particular engineering problem or to understand the computational techniques behind today's CAE and CAD systems. The various examples help the practicing engineer to comprehend the different approaches without going through lengthy derivations."
—Dietmar Göhlich, Product Manager, S-class Passenger Car Development, Daimler-Chrysler Corporation, Germany