Scientific Essay from the year 2012 in the subject Mathematics - Analysis, grade: A, , language: English, abstract: Fourier Series, Fourier Analysis, Eulers Formula for Coefficients, Periodic Functions, Trigonometric Series, Even Function, Odd Function, Properties of Functions, Fouriers Cosine And Sine Series, Half Range Fourier Sine and Cosine Series, Examples, Complex form, Riemann-Zeta Function, Mathematical analysis, Persevals Formula, Piecewise smooth function, Bessel's inequality, Riemann lemma, Persevals 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.