Methods of applied mathematics with a MATLAB overview

Series: Applied and Numerical Harmonic Analysis

Jon H. Davis

734 pages, parution le 09/12/2003

Ajouter à une liste

Indisponible

Résumé

"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

	PAPIER
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