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Metric methods and approximation algorithms.

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Approximation Theory

Approximation theory is a branch of mathematics that deals with how functions can be approximated by simpler or more tractable functions, and with quantifying the errors introduced thereby. The goal is to make complex mathematical problems simpler and more manageable.

This theory is used in a variety of areas such as numerical analysis, where it helps to solve differential and integral equations. It's also used in computer-aided design, signal processing, and data compression, among other fields.

The most common types of approximation include polynomial approximation (for example, Taylor series), rational approximation (like Pade approximant), and trigonometric approximation (such as Fourier series).

In essence, approximation theory provides the mathematical foundation for many techniques and methods used in computational mathematics, mathematical modeling, and numerical simulations.


  1. Wikipedia: Approximation Theory
  2. Britannica: Approximation

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