Lectures On Approximation By Polynomials
by J.G. Burkill
Publisher: Tata Institute of Fundamental Research 1959
Number of pages: 75
From the table of contents: Weierstrass's Theorem; The Polynomial of Best Approximation Chebyshev Polynomials; Approximations to abs(x); Trigonometric Polynomials; Inequalities, etc; Approximation in Terms of Differences.
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The book about the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, etc.
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