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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.