Numerical Methods with Applications
Front Cover
Information
License
Dedication
Principal Author
Preface
Chapter 01.01: Introduction to Numerical Methods
Chapter 01.02: Quantifying Errors
Chapter 01.03: Sources of Error
Chapter 01.04: Fixed-Point Binary Representation of Numbers
Chapter 01.05: Floating-Point Binary Representation of Numbers
Chapter 01.07: Taylor Theorem Revisited
Chapter 02.00: Physical Problem for Numerical Differentiation
Chapter 02.01: Prerequisites to Numerical Differentiation
Chapter 02.02: Numerical Differentiation of Continuous Functions
Chapter 02.03: Numerical Differentiation of Functions Given at Discrete Data Points
Chapter 03.00: Physical Problem for Nonlinear Equations
Chapter 03.01: Prerequisites to Numerical Methods for Solving Nonlinear Equations
Chapter 03.03: Bisection Method for Solving a Nonlinear Equation
Chapter 03.04: Newton-Raphson Method for Solving a Nonlinear Equation
Chapter 03.05: Secant Method of Solving Nonlinear Equations
Chapter 03.07: Newton-Raphson Method For Solving Simultaneous Nonlinear Equations
Chapter 04.00: Physical Problem for Simultaneous Linear Equations
Chapter 04.01: Prerequisites to Simultaneous Linear Equations
Chapter 04.01: Introduction to Matrix Algebra
Chapter 04.02: Vectors
Chapter 04.03: Binary Matrix Operations
Chapter 04.04: Unary Matrix Operations
Chapter 04.05: System of Equations
Chapter 04.06: Gaussian Elimination Method for Solving Simultaneous Linear Equations
Chapter 04.07: LU Decomposition Method for Solving Simultaneous Linear Equations
Chapter 04.08: Gauss-Seidel Method of Solving Simultaneous Linear Equations
Chapter 04.09: Adequacy of Solutions
Chapter 04.10: Eigenvalues and Eigenvectors
Chapter 05.00: Physical Problem for Interpolation
Chapter 05.01: Prerequisites to Interpolation
Chapter 05.02: Direct Method of Interpolation
Chapter 05.03: Newton’s Divided Difference Method of Interpolation
Chapter 05.05: Spline Method of Interpolation
Chapter 05.06: Extrapolation is a Bad Idea
Chapter 05.10: Length of a Curve
Chapter 06.00: Physical Problem for Regression
Chapter 06.01: Prerequisites to Regression
Chapter 06.03: Linear Regression
Chapter 06.04: Nonlinear Regression
Chapter 06.05: Adequacy of Linear Regression Models
Chapter 07.00: Physical Problem for Integration
Chapter 07.01: Prerequisites to Numerical Integration
Chapter 07.02: Trapezoidal Rule of Integration
Chapter 07.03: Simpson’s 1/3^rd Rule of Integration
Chapter 07.05: Gauss Quadrature Rule of Integration
Chapter 07.06: Integrating Functions Given as Discrete Data Points
Chapter 07.08: Simpson’s 3/8 ^th Rule of Integration
Chapter 08.00: Physical Problem for Ordinary Differential Equations
Chapter 08.01: Prerequisites to Numerical Methods for Solving Ordinary Differential Equations
Chapter 08.02: Euler’s Method for Solving Ordinary Differential Equations
Chapter 08.03: Runge-Kutta 2nd-Order Method for Solving Ordinary Differential Equations
Chapter 08.05: On Solving Higher-Order and Coupled Ordinary Differential Equations
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Numerical Methods with Applications

Numerical Methods with Applications

2022-07-09

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