Numerical Analysis
About this book
This well-respected text introduces you to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop your intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. Three decades after it was first published, NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.
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Information
Table of contents
- Cover
- Half Title
- Title
- Statement
- Copyright
- Dedication
- Contents
- Preface
- Ch 1: Mathematical Preliminaries and Error Analysis
- Ch 2: Solutions of Equations in One Variable
- Ch 3: Interpolation and Polynomial Approximation
- Ch 4: Numerical Differentiation and Integration
- Ch 5: Initial-Value Problems for Ordinary Differential Equations
- Ch 6: Direct Methods for Solving Linear Systems
- Ch 7: Iterative Techniques in Matrix Algebra
- Ch 8: Approximation Theory
- Ch 9: Approximating Eigenvalues
- Ch 10: Numerical Solutions of Nonlinear Systems of Equations
- Ch 11: Boundary-Value Problems for Ordinary Differential Equations
- Ch 12: Numerical Solutions to Partial Differential Equations
- Bibliography
- Answers for Selected Exercises
- Index
- Endsheet-1
- Endsheet-2
- Endsheet-3
- Endsheet-4
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