Mathematical Basis for X-Ray Crystallography and Analysis of Diffraction Patterns

3.1 - Sines, Cosines, and Fourier Transforms

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Date

7-19-2016

Description

The use of trigonometric functions in describing electromagnetic waves. Fourier transforms and waves with multiple frequencies present. The Euler formulation of sines and cosines as exponentials. Time 7:35.

Comments

Videos 3.1-3.9 are the most mathematical in the series, and require some knowledge of vectors and calculus. The most calculus-heavy videos are 3.1-3.5, and these can be skipped by those with less mathematical background.

Keywords

Fourier transform, sin, cosine, Euler, beats

Disciplines

Mathematics | Physics

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

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3.1 - Sines, Cosines, and Fourier Transforms

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