In the history of mathematics, the quest for solving complex problems has often led to the development of numerical techniques. Analytical solutions (closed-form solutions) are often unavailable for complex real-world problems involving non-linear differential equations or large systems of linear equations. Numerical Analysis bridges this gap by providing approximate methods that yield results within a desired degree of accuracy.
The importance of Numerical Analysis has grown exponentially with the advent of high-speed computers. What was once a tedious manual calculation involving logarithmic tables and mechanical calculators is now performed in milliseconds, allowing for the modeling of complex phenomena such as weather patterns, structural integrity of bridges, and financial markets. free pdf on numerical analysis by dutta jana top
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