Interactive web book
Numerical Analysis: Theory, Algorithms, and Computation
A rigorous and interactive web version with KaTeX formulas, reference bubbles, game cards, laboratories, student-input calculators, and randomized quizzes.
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Chapter 1Floating-Point Arithmetic and Error AnalysisChapter 2Nonlinear EquationsChapter 3Interpolation and Polynomial ApproximationChapter 4Direct Methods for Linear SystemsChapter 5Iterative Methods for Linear SystemsChapter 6Eigenvalue ProblemsChapter 7Least-Squares ApproximationChapter 8Numerical DifferentiationChapter 9Numerical IntegrationChapter 10Initial-Value Problems for Ordinary Differential EquationsChapter 11Boundary-Value Problems for Ordinary Differential EquationsChapter 12Numerical Methods for Partial Differential EquationsChapter 13Spectral and Pseudospectral MethodsChapter 14Optimization and Nonlinear SystemsChapter 15Numerical Methods for Fractional Differential Equations