강의노트, 강의정리 - Eng. mathematics: Fourier analysis, PDEs: overview

큰제목 Fourier analysis, PDEs 에 대한 내용

Fourier analysis concerns periodic phenomena, as they occur quite frequently in engineering and elsewhere. we can represent complicated (periodic) functions in terms of simple periodic functions, namely, cosines and sines. we call this infinite series as Fourier series.

• underlying ideas can be extended to nonperiodic phenomena. this leads to Fourier integrals and transforms. a common name for the whole area is Fourier analysis.
• in the most important of PDEs of physics and engineering is the area in which Fourier analysis has its most basic applications, related to boundary and initial value problems of mechanics, heat flow, electrostatics, and other fields.