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An Introduction to Fourier Analysis - BGU

An Introduction to Fourier AnalysisFourier Series, Partial Differential Equationsand Fourier TransformsNotes prepared for MA3139 Arthur L. SchoenstadtDepartment of Applied MathematicsNaval Postgraduate SchoolCode MA/ZhMonterey, California 93943 August 18, 2005c 1992 - Professor Arthur L. Schoenstadt1 Contents1 Infinite Sequences, Infinite Series and Improper Limits .. Infinite Series .. ConvergenceTests .. 182 Fourier DerivationoftheFourierSeriesCoefficients .. ConvergencePropertiesofFourierSeries .. InterpretationoftheFourierCoefficients .. TheComplexFormoftheFourierSeries .. 603 The One-Dimensional Wave Boundary IntroductiontotheSolutionoftheWaveEquati on.

An Introduction to Fourier Analysis Fourier Series, Partial Differential Equations and Fourier Transforms Notes prepared for MA3139 Arthur L. Schoenstadt

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