Numerical Analysis

Front Cover
Cengage Learning, Dec 10, 2004 - Mathematics - 850 pages
0 Reviews
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.
Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

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

Common terms and phrases

About the author (2004)

Richard L. Burden is a 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 is a Emeritus Professor of Mathematics at Youngstown State University, where he received his undergraduate degree. His masters and doctoral degrees were awarded by the University of South Carolina. His mathematical interests include analysis, numerical analysis, mathematics history, and problems solving. Dr. Faires has 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. Faires served on the Council of Pi Mu Epsilon for nearly two decades, including a term as President, was the Co-Director of the American Mathematics Competitions AMC-10 and AMC-12 examinations for 8 years, and has been a long-term judge for the COMAP International Contest in Mathematical Modeling. He has authored or co-authored more than 20 books, including recent MAA publications to assist young students with mathematical problem solving.

Bibliographic information