Calculus of Finite Difference and Numerical Analysis Calculus of Finite Difference and Numerical Analysis

Calculus of Finite Difference and Numerical Analysis

This text is suitable for those students studying mathematics

Chapter 1: The Calculus of Finite Differences
Chapter 2: Interpolation with Equal Intervals
Chapter 3: Interpolation with Unequal Intervals
Chapter 4: Central Difference Interpolation Formulae
Chapter 5: Numerical Differentiation
Chapter 6: Numerical Integration
Chapter 7: Inverse Interpolation
Chapter 8: Summation of Series
Chapter 9: Difference Equations
Chapter 10: Approximations and Errors in Computation
Chapter 11: Numerical Solutions of Ordinary Differential Equations of First and Second Order
Chapter 12: Solution of Algebraic and Transcendental Equations
Chapter 13: Solution of Simultaneous Linear Algebraic Equations
Chapter 14: Matrix Inversion
Chapter 15: Eigen Values and Eigen Vectors
Chapter 16: Bernoulli and Euler Polynomials
Chapter 17: Curve Fitting and Principle of Least Squares
Chapter 18: Numerical Solution of Partial Differential Equations
Chapter 19: Computer Fundamentals with Programming in C