Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods

✍ Scribed by Professor Dr. Kwong-Tin Tang (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2007
Tongue: English
Leaves: 441
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XI
Front Matter....Pages 1-1
Fourier Series....Pages 3-59
Fourier Transforms....Pages 61-108
Front Matter....Pages 110-110
Orthogonal Functions and Sturm–Liouville Problems....Pages 111-162
Bessel and Legendre Functions....Pages 163-226
Front Matter....Pages 228-228
Partial Differential Equations in Cartesian Coordinates....Pages 229-299
Partial Differential Equations with Curved Boundaries....Pages 301-364
Front Matter....Pages 366-366
Calculus of Variation....Pages 367-429
Back Matter....Pages 431-438

✦ Subjects

Theoretical, Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engineering

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