Differential equations : a modern approach with wavelets / Steven G. Krantz.

Format:

Book

Author/Creator:

Krantz, Steven G. (Steven George), 1951- author.

Series:

Textbooks in mathematics

Language:

English

Subjects (All):

Differential equations--Textbooks.

Differential equations.

Wavelets (Mathematics)--Textbooks.

Wavelets (Mathematics).

Physical Description:

1 online resource (482 pages)

Edition:

1st ed.

Place of Publication:

[Boca Raton] : CRC Press, 2020.

Summary:

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. The world is changing. Because of the theory of wavelets, Fourier analysis is ever more important and central. And applications are a driving force behind much of mathematics.This text text presents a more balanced picture. The text covers differential equations (both ordinary and partial), Fourier analysis and applications in equal measure and with equal weight. The Riemann integral is used throughout. We do not assume that the student knows any functional analysis. We likewise do not assume that the student has had a course in undergraduate real analysis. To make the book timely and exciting, a substantial chapter on basic properties of wavelets, with applications to signal processing and image processing is included. This should give students and instructors alike a taste of what is happening in the subject today.

Contents:

What is a differential equation?

Second-order linear equations

Power series solutions and special functions

Sturm-Liouville problems and boundary value problems

Numerical methods

Fourier series : basic concepts

Laplace transforms

Distributions

Wavelets

Partial differential equations and boundary value problems.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-00-300950-6

1-000-76844-9

1-000-76846-5

1-003-00950-6

9781003009504

OCLC:

1139765701