Numerical Analysis

Richard L. Burden, John Douglas Faires

Cengage Learning, 2005 - Mathematics - 847 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.

What people are saying

Review: Numerical Analysis

User Review  - Akhtar Hussain - Goodreads

i want to read books

Review: Numerical Analysis

User Review  - Dustin Tran - Goodreads

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

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

About the author

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 Professor of Mathematics at Youngstown State University. His research interests include analysis, numerical analysis, and mathematics history. Dr. Faires has won many awards, including Outstanding College-University Teacher of Mathematics, Ohio Section of MAA (1996) and Youngstown State University, Distinguished Professor for Teaching (1995-1996).

Bibliographic information

• Title: Numerical Analysis; Available Titles CengageNOW Series
• Authors: Richard L. Burden, John Douglas Faires
• Edition: 8, illustrated
• Publisher: Cengage Learning, 2005
• ISBN: 0534392008, 9780534392000
• Length: 847 pages
• Subjects: Mathematics / Probability & Statistics / General