Elementary Numerical Analysis

ISBN-13: 9780471433378 / Angielski / Twarda / 2003 / 576 str.

Kendall E. Atkinson; Weimin Han; Kendall Atkinson

Opis

Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems.
The text introduces core areas of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic.

Recenzje

"I am quite happy with the exercises. There is a good distribution of easy, medium and hard problems. There is also a good distribution of theoretical development and algorithmic problems. There are also plenty of problems to choose from. Many of the problems are ones that I would make up on my own if they weren't included already."--Barbara Shabell, California State Polytechnic University, Pomona"There is a right kind of mix of theory and exercises and the order in which the topics have been presented is appropriate for my taste in teaching undergraduate students."--Prabir Daripa, Texas A&M University"I find this book to be a pleasure to read; it is filled with mathematical insight into numerical analysis at a level appropriate for undergraduates. The clarity of exposition is one of the strongest assets of this book."--David J. Horntrop, New Jersey Institute of Technology"The writing style of this book is precise and easy to understand. We particularly appreciate the format that to illustrate an approach, a simple numerical example is presented first. This format is used consistently throughout the text. Compared to our current text, this new text explains ideas in more straightforward and crystal-clear ways. It will be quite easy for students to use and learn the basic ideas. I think I would prefer this text to our current text for presentations of the materials."--Jingyi Zhu, University of Utah

Spis treści

Chapter 1. Taylor Polynomials.

Chapter 2. Error and Computer Arithmetic.

Chapter 3. Rootfinding.

Chapter 4. Interpolation and Approximation.

Chapter 5. Numerical Integration and Differentiation.

Chapter 6. Solution of Systems of Linear Equations.

Chapter 7. Numerical Linear Algebra: Advanced Topics.

Chapter 8. Ordinary Differential Equations.

Chapter 9. Finite Difference Method for PDEs.

Appendix A: Mean Value Theorems.

Appendix B: Mathematical Formulas.

Appendix C: Numerical Analysis Software Packages.

Appendix D: Matlab: An Introduction.

Appendix E: The Binary Number System.

Answers to Selected Problems.

Bibliography.

Index.