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Mathematical Methods for Engineers and Scientists 3

Fourier Analysis, Partial Differential Equations and Variational Methods

  • Kwong-Tin Tang

Table of contents

  1. Front Matter
    Pages I-XI
  2. Fourier Analysis

    1. Front Matter
      Pages 1-1
    2. Pages 3-59
    3. Pages 61-108
  3. Sturm–Liouville Theory and Special Functions

    1. Front Matter
      Pages 110-110
  4. Partial Differential Equations

  5. Variational Methods

    1. Front Matter
      Pages 366-366
    2. Pages 367-429
  6. Back Matter
    Pages 431-438

About this book

Introduction

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.

Keywords

Advanced engineering mathematics Fourier transform Mathematical physics calculus differential equation matrix theory partial differential equation

Authors and affiliations

  • Kwong-Tin Tang
    • 1
  1. 1.Department of PhysicsPacific Lutheran UniversityTacomaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-44697-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-44695-8
  • Online ISBN 978-3-540-44697-2
  • Buy this book on publisher's site