## Introduction to Numerical Computing

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

One of the earliest mathematical writings is a Babylonian tablet from the Yale Babylonian Collection (YBC 7289), which gives a sexagesimal numerical approximation of the square root of 2, the length of the diagonal in a unit square. Being able to compute the sides of a triangle (and hence, being able to compute square roots) is extremely important, for instance, in astronomy, carpentry and construction.

Numerical analysis continues this long tradition of practical mathematical calculations. Much like the Babylonian approximation of the square root of 2, modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice. Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on errors.

## This Outline Will be similar with your University 2020 Course Outline for Numerical Computing Subject.

The concepts of efficiency, reliability and accuracy of a method; Minimising computational errors; Theory of Differences, Difference Operators, Difference Tables, Forward Differences, Backward Differences and Central Differences. Mathematical Preliminaries, Solution of Equations in one variable, Interpolation and Polynomial Approximation, Numerical Differentiation and Numerical Integration, Initial Value Problems for Ordinary Differential Equations, Direct Methods for Solving Linear Systems, Iterative Techniques in Matrix Algebra, Solution of non-linear equations.

## Best Recommended Numerical Computing PDF Books, Notes,  Tutorialsfor Universities:

Here is detailed list of best Numerical Computing Books for Universities:

1. Numerical Methods in Scientific Computing by Ake Bjorck and Germund Dahlquist
2. Numerical Methods for Scientific Computing by J. H. Heinbockel.
3. Numerical Analysis by I. A. Khubaza.
4. Numerical Analysis and Programming by Shan S Kuo.
5. Numerical Analysis by Berden, F.
6. Numerical Analysis by Gerald.

## Numerical Computing Video Tutorials

#### Numerical Computation by Virtual Comsats

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