# heat equation

Published articles for heat equation.

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## The Fourier Series--A Primer

DevFeed: [The Fourier Series--A Primer](<https://devfeed.tech/articles/the-fourier-series-a-primer-40271.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2012/04/25/the-fourier-series/>)

Published: 2012-04-25T21:43:06Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Mathematics](<https://devfeed.tech/topics/mathematics.md>), [Math and Logic](<https://devfeed.tech/topics/math-and-logic.md>), [function](<https://devfeed.tech/topics/function.md>)

Tags: [analysis](<https://devfeed.tech/tags/analysis.md>), [classification](<https://devfeed.tech/tags/classification.md>), [complex-analysis](<https://devfeed.tech/tags/complex-analysis.md>), [foundation](<https://devfeed.tech/tags/foundation.md>), [fourier-analysis](<https://devfeed.tech/tags/fourier-analysis.md>), [heat-equation](<https://devfeed.tech/tags/heat-equation.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [orthogonality](<https://devfeed.tech/tags/orthogonality.md>), [primer](<https://devfeed.tech/tags/primer.md>)

### AI overview

This primer introduces the mathematics of Fourier series, beginning with periodic functions and explaining how sine and cosine functions serve as building blocks for representing functions. It establishes foundational concepts for later work involving Fourier transforms, sound and image analysis, classification, and machine vision.

### Source excerpt

Overview In this primer we'll get a first taste of the mathematics that goes into the analysis of sound and images. In the next few primers, we'll be building the foundation for a number of projects in this domain: extracting features of music for classification, constructing so-called hybrid images, and other image manipulations for machine vision problems (for instance, for use in neural networks or support vector machines; we're planning on covering these topics in due time as well).