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Which modern mathematical tool incorporates and extends Fourier's investigations?
Vector calculus
Number theory
Probability theory
Harmonic analysis
Answer
Harmonic analysis is a branch of mathematics that studies the relationship between functions and their Fourier series. It incorporates and extends Fourier's investigations into the nature of periodic functions and their decomposition into simpler components. Harmonic analysis has applications in many fields, including signal processing, image processing, and statistical analysis.
Unraveling the Mathematics and Physics of Joseph Fourier: A Quiz Exploring His Revolutionary Contributions
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