Other
Calculating Fourier Series
The authors provide problems involving the calculation of Fourier series and then take a stepwise approach to solving them.
Analyze Math
Analyze Math: Fourier Series of Periodic Functions
The tutorial investigates the Fourier series. The resource consists of an example that shows how Fourier coefficients are calculated and an interactive applet that examines the Fourier series.
Internet History Sourcebooks Project
Fordham University: Modern History Sourcebook: Charles Fourier
Read an excerpt from Fourier's 1820 book, "Theory of Social Organization," which explains his theory of communal work distribution that influenced a number of social experiments, including the Israeli kibbutzim.
Wolfram Research
Wolfram Math World: Fourier Transform Exponential Function
This site explains how the Fourier transform of an exponential function is related to the Lorentzian function. Site also contains relevant links.
Texas Instruments
Texas Instruments: Fourier Analysis
Students use the TI InterActive! software to explore the connection between a function and its Fourier series.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Fourier Making Waves
Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare...
Interactive Mathematics
Interactive Mathematics: Fast Fourier Transform
The Fast Fourier Transform is applied using examples of digital audio recording. Connections to frequency are made through prisms and the cochlea of the ear.
Interactive Mathematics
Interactive Mathematics: Half Range Fourier Series
This presentation helps to identify when a function can be represented by only a half range Fourier series. It then shows how to find these series for even and odd functions.
Interactive Mathematics
Interactive Mathematics: Fourier Series Even & Odd Functions
After identifying even and odd functions, the process for finding the Fourier Series for these types of functions is demonstrated. Detailed examples and graphs are provided.
Interactive Mathematics
Interactive Mathematics: Full Range Fourier Series
This lesson presents the Dirichlet conditions that are required in order to represent a function as a Fourier Series. Examples are provided along with graphs of the waveforms that represent the functions.
Interactive Mathematics
Interactive Mathematics: Vital Revision for Fourier Series
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Marxists Internet Archive
Encyclopedia of Marxism: Fourier, Francois Charles
This entry from the Marxists Internet Archive relies almost entirely on Frederick Engels' assessment of Fourier and his writing. Extensive quotation from Engel's "The Development of Socialism from Utopia to Science."
National High Magnetic Field Laboratory
Magnet Academy: Fourier Transform Ion Cyclotron Resonance (Ft Icr)
FT-ICR is a powerful type of mass spectrometry, co-invented by the Magnet Lab's Alan Marshall, particularly suited to identifying heavy molecules. (Java tutorial)
Harvey Mudd College
Harvey Mudd College: Special Trigonometric Integrals
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
Curated OER
Smithsonian Libraries: Jean Baptiste Joseph Fourier (1768 1830)
A portrait of Jean Baptiste Joseph Fourier from the Dibner Library of the History of Science and Technology, made available through the Smithsonian Institution's Scientific Identity Collection.
Curated OER
Smithsonian Libraries: Jean Baptiste Joseph Fourier (1768 1830)
A portrait of Jean Baptiste Joseph Fourier from the Dibner Library of the History of Science and Technology, made available through the Smithsonian Institution's Scientific Identity Collection.
Texas Instruments
Texas Instruments: Getting Started With the Calculus Tools App
This user-friendly application extends the build-in power of your TI-89 and TI-92 Plus by providing more specialized functionality. Use Calculus to investigate applications of differentiation, compare numerical integration techniques and...
Paul Dawkins
Paul's Online Notes: Differential Equations
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
Interactive Mathematics
Interactive Mathematics: Line Spectrum
Using Fourier and Harmonic series, the line spectrums of functions are derived and represented on graphs. Several music examples show the connection between harmonics and sound.
Interactive Mathematics
Interactive Mathematics: Harmonic Analysis
Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.
Math2
Math2.org: Series Expansion
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.
Cosmo Learning
Cosmo Learning: Computational Science and Engineering I
A collection of video lectures from a course reviewing linear algebra with applications to networks, structures, and estimation. Webpage includes thirty-six lectures from a professor at Massachusetts Institute of Technology. Lectures...
Interactive Mathematics
Interactive Mathematics: Introduction to Infinite Series
This discussion on infinite series is a precursor to a lesson on the Fourier Series. The lesson uses graph comparison to distinguish between a series and an infinite series.