Mathematical Methods for Engineers and Scientists 3 [electronic resource] : Fourier Analysis, Partial Differential Equations and Variational Methods /
Tang, Kwong-Tin.author.
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.
Description based upon print version of record.
Includes bibliographical references and index.
Fourier Analysis -- Fourier Series -- Fourier Transforms -- Sturm-Liouville Theory and Special Functions -- Orthogonal Functions and Sturm-Liouville Problems -- Bessel and Legendre Functions -- Partial Differential Equations -- Partial Differential Equations in Cartesian Coordinates -- Partial Differential Equations with Curved Boundaries -- Variational Methods -- Calculus of Variation.
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.
Mathematical physics.
Applied mathematics.
Engineering mathematics.
Environmental monitoring.
Theoretical, Mathematical and Computational Physics.
Mathematical and Computational Engineering.
Monitoring/Environmental Analysis.