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Methods of applied mathematics with a MATLAB overview
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Librairie Eyrolles - Paris 5e

Methods of applied mathematics with a MATLAB overview

Methods of applied mathematics with a MATLAB overview

Series: Applied and Numerical Harmonic Analysis

Jon H. Davis

734 pages, parution le 09/12/2003


"Methods of Applied Mathematics with a MATLAB Overview" is devoted to the applications of Fourier analysis; topics encompass the classical applications in partial differential equations and boundary value problems as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are covered, along with the necessary background in complex variables and Sturm-Liouville theory. The final chapter provides an examination of wavelets, short-time Fourier analysis, and geometrically-based transforms. The use of the computer program MATLAB has been integrated throughout the text, with particular emphasis on the program's numerical and graphing capabilities.

Key features:

  • Clear, consistent exposition with a strong focus on mathematical fundamentals and useful techniques
  • Extensive examples, illustrations, and modern applications
  • A variety of problems of wide-ranging difficulty, many with solutions
  • Numerous MATLAB exercises and routines, with an introduction to MATLAB provided in an appendix
  • Comprehensive references and index

Requiring only familiarity with calculus and linear algebra and some introductory acquaintance with differential equations and vector calculus, this work can be used flexibly, either for a one-semester survey or an in-depth, year-long course. With its broad scope and careful pedagogy, this treatment will serve students in pure and applied mathematics, physical sciences, and engineering.


  • Introduction
  • Fourier Series
  • Elementary Boundary Value Problem
  • Sturm-Liouville Theory and Boundary Value Problems
  • Functions of a Complex Variable
  • Laplace Transforms
  • Fourier Transforms
  • Discrete Variable Transforms
  • Additional Topics
  • Linear Algebra Overview
  • Software Resources
  • Transform Tables
  • Index

L'auteur - Jon H. Davis

Queens University

Caractéristiques techniques

Éditeur(s) Birkhäuser
Auteur(s) Jon H. Davis
Parution 09/12/2003
Nb. de pages 734
Format 16 x 24
Couverture Relié
Poids 1155g
Intérieur Noir et Blanc
EAN13 9780817643317
ISBN13 978-0-8176-4331-7


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