In the subject of uniform approximations the fundamental theorems with their proofs are presented. Like Taylor and Weierstrass Theorems, Bernstein's and Chebyshev's polynomials, Chebyshev's series and the best uniform approximation of a function are considered . The theorems are clarified by examples. The Mathematica modules are designed for uniform approximation of one variable functions. The chapter ends with a set of questions.
Keywords: Uniform approximation, Bernstein’s polynomials, Chebyshe's polynomials.