Numerical Analysis
This book covers key topics in the study area of Numerical Analysis. Numerical methods for the solution of differential equations have become particularly popular in recent years because modern technical problems lead to complicated equations seldom solvable in finite terms and also because calculating machines and electronic computers have become widely available. The numerical approach also has the advantage of allowing the actual work to be carried out by operators without a knowledge of higher mathematics or of physics, with a resulting economy of effort on the part of highly trained personnel.
Chapter 1 : The Calculus of Finite Differences
Chapter 2 : Interpolation with Equal Intervals
Chapter 3 : Interpolation with Unequal Intervals of the argument
Chapter 4 : Central Difference Interpolation Formulae
Chapter 5 : Solution of Algebraic and Transcendental Equations
Chapter 6 : Numerical Differentiation
Chapter 7 : Numerical Integration
Chapter 8 : Difference Equations
Chapter 9 : Linear Difference Equations and Generating Functions
Chapter 10 : Numerical Solution of Ordinary Differential Equations
Chapter 11 : Simultaneous Linear Algebraic Equations
Chapter 12 : Matrix Inversion
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