Added to this new, more comprehensive edition of a popular study guide are: backward error analysis, splines, adaptive integration, fast Fourier transforms, finite elements, stiff differential equations and the QR method. The main goals of the discipline and this book remain the same: to find approximate solutions to complex problems using only the simplest operations of arithmetic. This book is ideal for a one-year course at the beginning graduate level or an introductory, single-semester course, and excellent for solo study.
|About the book|
If you want top grades and thorough understanding of numerical analysis, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you accompanying related problems with fully worked solutions. You also get additional problems to solve on your own, working at your own speed. (Answers at the back show you how you’re doing.) Famous for their clarity, wealth of illustrations and examples—and lack of dreary minutiae—Schaum’s Outlines have sold more than 30 million copies worldwide. This guide will show you why!
|About the author|
McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide
|Table of contents|
What Is Numerical Analysis? The Collocation Polynomial.
The Newton Formula.
Operators and Collocation Polynomials.
The Taylor Polynomial.
Sums and Series.
Differential Problems of Higher Order.
Least-Squares Polynomial Approximation.
Min-Max Polynomial Approximation.
Approximation By Rational Functions.
Boundary Value Problems.
Monte Carlo Methods.