Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.

Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.

Part Of The International Series In Mathematics Ideal For The 1-Term Course, A Journey Into Partial Differential Equations Provides A Solid Introduction To Pdes For The Undergraduate Math, Engineering, Or Physics Student. Discussing Underlying Physics, Concepts And Methodologies, The Text Focuses On The Classical Trinity Of Equations: The Wave Equation, Heat/Diffusion Equation, And Laplace's Equation. Bray Provides Careful Treatment Of The Separation Of Variables And The Fourier Method, Motivated By The Geometrical Notion Of Symmetries And Places Emphasis On Both The Qualitative And Quantitative Methods, As Well As Geometrical Perspectives. With Hundred Of Exercises And A Wealth Of Figures, A Journey Into Partial Differential Equations Proves To Be The Model Book For The PDE Course.