Fourier series

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Subject:

Mathematics and Statistics

Institution Name:

The Open University

Collection:

Open University OpenLearn

Grade Level:

Post-secondary

Abstract:

This unit is concerned with the technique of expressing a periodic function as a sum of terms, where each term is a constant, a sine function or a cosine function. There is a strong analogy with the technique of expressing a (non-periodic) function as a Taylor series, which is a sum of terms that are powers of the independent variable(s); in both cases, working with just the first few terms generally gives a useful approximation. This unit assumes the following background knowledge: the definition of the period; forced oscillations and resonance; integration by parts.

Languages:

English

Material Type:

Activities and Labs, Full Course, Readings, Syllabi

Media Format:

Text/HTML

Conditions of Use:

Creative Commons Attribution-Noncommercial-Share Alike 2.0