Fourier Series |
Contents
Differentiation of Fourier series page | 34 |
Hurwitzs solution of the isoperimetric problem | 42 |
Applications in the solution of partial differential | 48 |
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Common terms and phrases
a²+n² b₂ best mean square coefficients of f(x converge deduce denote elastic beam Example EXERCISES ON CHAPTER Find the Fourier finite number formulae Fourier coefficients Fourier expansion Fourier polynomial Fourier series Fourier's theorem function f(x HALF-RANGE COSINE SERIES HALF-RANGE SINE SERIES Hence I. N. Sneddon integrate with respect interval ISOPERIMETRIC PROBLEM J. A. Green Kronecker delta Laplace's equation last section Ledermann left-hand derivative lemma nx dx nx+b₂ nx+bn sin nx odd function orthonormal ORTHONORMAL SETS P. J. Hilton P. M. Cohn Parseval's theorem partial differential equation periodic function piecewise-smooth point x=a proof of Fourier's properties of Fourier range remains finite root-mean-square value satisfies the conditions set of functions sides of equation sinh Sn(x string tion trigonometrical polynomial trigonometrical series TYPES OF WHOLE-RANGE WHOLE-RANGE SERIES x=0 and x=l zao+ ηπα π π π² πω пп ппх