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- Numerical Analysis
- Table of Contents
- 0 Introduction
- 1 Error Analysis
- 2 Numeric Representation
- 3 Iteration
- 4 Linear Algebra
- 5 Interpolation
- 6 Least Squares
- 7 Taylor Series
- 8 Bracketing
- 9 The Five Techniques
- 10 Root Finding
- 11 Optimization
- 12 Differentiation
- 13 Integration
- 14 Initial-value Problems
- 15 Boundary-value Problems
- Appendices
- What is Linear Algebra?
- Backward Substitution
- Determinants
- Differentiable Functions
- Forward Substitution
- Radians
- The Mean and Standard Deviation
- Trigonometric Functions
- The Quadratic Formula
- Permutation Matrices
- Elementary Matrices
- Principle Submatrices
- Functions are Vectors!
- The Jacobian Matrix
- The Gradient Vector
- The Golden Mean
- Approximations and Average Values
- Non-continuous Functions
- Non-differentiable Continuous Functions