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Scientific Essay from the year 2012 in the subject Mathematics - Analysis, grade: A, , language: English, abstract: Fourier Series, Fourier Analysis, Euler's Formula for Coefficients, Periodic Functions, Trigonometric Series, Even Function, Odd Function, Properties of Functions, Fourier's Cosine And Sine Series, Half Range Fourier Sine and Cosine Series, Examples, Complex form, Riemann-Zeta Function, Mathematical analysis, Perseval's Formula, Piecewise smooth function, Bessel's inequality, Riemann lemma, Perseval's Theorem, Propositions and Remarks, Gibbs Phenomenon, Physical Applications, Heat distribution in a metal plate, Square wave, Sawtooth wave, Full an Half wave Rectifier, Advantages and Conclusion.