Gift Guide

Transform Methods For Solving Partial Differential Equations / Edition 2

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $122.73
Usually ships in 1-2 business days
(Save 16%)
Other sellers (Hardcover)
  • All (2) from $122.73   
  • New (1) from $122.73   
  • Used (1) from $167.64   


Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found analytically, numeric and asymptotic techniques now exist for their inversion, and because the problem retains some of its analytic aspect, one can gain greater physical insight than typically obtained from a purely numerical approach.

Transform Methods for Solving Partial Differential Equations, Second Edition illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential equations encountered in science and engineering. The author has expanded the second edition to provide a broader perspective on the applicability and use of transform methods and incorporated a number of significant refinements:

New in the Second Edition:

· Expanded scope that includes numerical methods and asymptotic techniques for inverting particularly complicated transforms

· Discussions throughout the book that compare and contrast transform methods with separation of variables, asymptotic methods, and numerical techniques

· Many added examples and exercises taken from a wide variety of scientific and engineering sources

· Nearly 300 illustrations—many added to the problem sections to help readers visualize the physical problems

· A revised format that makes the book easier to use as a reference: problems are classified according to type of region, type of coordinate system, and type of partial differential equation

· Updated references, now arranged by subject instead of listed all together

As reflected by the book's organization, content, and many examples, the author's focus remains firmly on applications. While the subject matter is classical, this book gives it a fresh, modern treatment that is exceptionally practical, eminently readable, and especially valuable to anyone solving problems in engineering and the applied sciences.

Read More Show Less

Product Details

  • ISBN-13: 9781584884514
  • Publisher: Taylor & Francis
  • Publication date: 7/1/2004
  • Series: Symbolic & Numeric Computation Series
  • Edition description: Revised
  • Edition number: 2
  • Pages: 728
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.56 (d)

Table of Contents

Fourier Transforms
Laplace Transforms
Linear Ordinary Differential Equations
Complex Variables
Multivalued Functions, Branch Points, Branch Cuts, and Riemann Surfaces
Some Examples of Integration which Involve Multivalued Functions
Bessel Functions
What are Transform Methods?
Inversion of Laplace Transforms by Contour Integration
The Heat Equation
The Wave Equation
Laplace's and Poisson's Equations
Papers Using Laplace Transforms to Solve Partial Differential Equations
Inversion of Fourier Transforms by Contour Integration
The Wave Equation
The Heat Equation
Laplace's Equation
The Solution of Partial Differential Equations by Hankel Transforms
Numerical Inversion of Hankel Transforms
Papers Using Fourier Transforms to Solve Partial Differential Equations
Papers Using Hankel Transforms to Solve Partial Differential Equations
Inversion of Laplace Transforms by Contour Integration
Numerical Inversion of Laplace Transforms
The Wave Equation
The Heat Equation
Papers Using Laplace Transforms to Solve Partial Differential Equations
Inversion of Fourier Transforms by Contour Integration
Numerical Inversion of Fourier Transforms
The Solution of Partial Differential Equations by Fourier Transforms
Papers Using Fourier Transforms to Solve Partial Differential Equations
The Wave Equation
The Heat and Other Partial Differential Equations
Inversion of the Joint Transform by Cagniard's Method
The Modification of Cagniard's Method by De Hoop
Papers Using the Joint Transform Technique
Papers Using the Cagniard Technique
Papers Using the Cagniard-De Hoop Technique
The Wiener-Hopf Technique When the Factorization Contains No Branch Points
The Wiener-Hopf Technique when the Factorization Contains Branch Points
Papers Using the Wiener-Hopf Technique

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)