# Numerical Analysis

Cengage Learning, Dec 10, 2004 - Mathematics - 850 pages
This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition.
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User Review  - Dustin Tran - Goodreads

Math 128A - Numerical Analysis; Jon Wilkening. Most of it. Standard text; easy to follow. Read full review

### Contents

 Mathematical Preliminaries and Error Analysis 1 Solutions of Equations in One Variable 45 Interpolation and Polynomial Approximation 101 Numerical Differentiation and Integration 167 InitialValue Problems for Ordinary Differential Equations 249 Direct Methods for Solving Linear Systems 345 Iterative Techniques in Matrix Algebra 417 Approximation Theory 481
 Approximating Eigenvalues 547 Numerical Solutions of Nonlinear Systems of Equations 597 BoundaryValue Problems for Ordinary Differential Equations 641 Numerical Solutions to Partial Differential Equations 687 Bibliography 737 Answers for Selected Exercises 747 Index 837 Copyright

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Richard L. Burden is Emeritus Professor of Mathematics at Youngstown State University. His master's degree in mathematics and doctoral degree in mathematics, with a specialization in numerical analysis, were both awarded by Case Western Reserve University. He also earned a masters degree in computer science from the University of Pittsburgh. His mathematical interests include numerical analysis, numerical linear algebra, and mathematical statistics. Dr. Burden has been named a distinguished professor for teaching and service three times at Youngstown State University. He was also named a distinguished chair as the chair of the Department of Mathematical and Computer Sciences. He wrote the Actuarial Examinations in Numerical Analysis from 1990 until 1999.

J. Douglas Faires, late of Youngstown State University, pursued mathematical interests in analysis, numerical analysis, mathematics history, and problem solving. Dr. Faires won numerous awards, including the Outstanding College-University Teacher of Mathematics by the Ohio Section of MAA and five Distinguished Faculty awards from Youngstown State University, which also awarded him an Honorary Doctor of Science award in 2006.