Free Application of Matlab Tutorials ( Programs ) about Numerical ( methods) Analysis.
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and fourth-generation programming language. A proprietary programming language developed by MathWorks MATLAB allows matrix manipulations plotting of functions and data implementation of algorithms creation of user interfaces and interfacing with programs written in other languages including C C++ C# Java Fortran and Python.

Although MATLAB is intended primarily for numerical computing an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities. An additional package Simulink adds graphical multi-domain simulation and model-based design for dynamic and embedded systems.

As of 2017 MATLAB has over 2 million users across industry and academia.[7] MATLAB users come from various backgrounds of engineering science and economics.
Millions of engineers and scientists worldwide use MATLAB® to analyze and design the systems and products transforming our world. MATLAB is in automobile active safety systems interplanetary spacecraft health monitoring devices smart power grids and LTE cellular networks. It is used for machine learning signal processing image processing computer vision communications computational finance control design robotics and much more.

Math. Graphics. Programming.

The MATLAB platform is optimized for solving engineering and scientific problems. The matrix-based MATLAB language is the world's most natural way to express computational mathematics. Built-in graphics make it easy to visualize and gain insights from data. A vast library of prebuilt toolboxes lets you get started right away with algorithms essential to your domain. The desktop environment invites experimentation exploration and discovery. These MATLAB tools and capabilities are all rigorously tested and designed to work together.

Scale. Integrate. Deploy.

Each toolbox is purchased separately. A student version of MATLAB is available as is a home-use license for MATLAB Simulink and a subset of Mathwork's Toolboxes at substantially reduced prices.

MATLAB helps you take your ideas beyond the desktop. You can run your analyses on larger data sets and scale up to clusters and clouds. MATLAB code can be integrated with other languages enabling you to deploy algorithms and applications within web enterprise and production systems.

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).

Numerical analysis naturally finds applications in all fields of engineering and the physical sciences but in the 21st century also the life sciences and even the arts have adopted elements of scientific computations. Ordinary differential equations appear in celestial mechanics (planets stars and galaxies); numerical linear algebra is important for data analysis; stochastic differential equations and Markov chains are essential in simulating living cells for medicine and biology.

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.

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