Applied Mathematics / Edition 3

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $70.00
Usually ships in 1-2 business days
(Save 55%)
Other sellers (Hardcover)
  • All (1) from $70.00   
  • New (1) from $70.00   


Explore the latest concepts and applications in mathematical methods and modeling

The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in math-ematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation.

Readers will discover many special features in this new and revised edition, such as:
* A new chapter on discrete-time models, including a section devoted to stochastic models
* A thorough revision of the text's 300 exercises, incorporating contemporary problemsand methods
* Additional material and applications of linear transformations in Rn (matrices, eigenvalues, etc.) to compare to the integral equation results
* New material on mathematical biology, including age-structured models, diffusion and advection, and biological modeling, including MATLAB programs

Moreover, the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving.

With its new exercises and structure, this book is highly recommended for upper-undergraduateand beginning graduate students in mathematics, engineering, and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study.

Read More Show Less

Editorial Reviews

From the Publisher
“…can be thoroughly recommended to all who want an up-to-date approach to their subject.” (Zentralblatt MATH, 2007)

"Future mathematicians, scientists and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." (MAA Reviews, October 12, 2006)

This second edition, published some ten years after the first, is considerably updated, but retains coverage of such standard topics as fluid mechanics and calculus of variations, as well as more contemporary methods such as dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. New sections are included on the WKB approximation, the asymptotic expansion of integrals, and numerical methods, while treatment of partial differential equations, integral equations, and Green's functions is expanded. Annotation c. by Book News, Inc., Portland, Or.
Read More Show Less

Product Details

  • ISBN-13: 9780471746621
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 4/21/2006
  • Edition description: REV
  • Edition number: 3
  • Pages: 552
  • Product dimensions: 5.83 (w) x 9.70 (h) x 1.38 (d)

Meet the Author

J. DAVID LOGAN, PhD, is Willa Cather Professor of Mathematics at the University of Nebraska–Lincoln. Dr. Logan is the author of several books in applied mathematics, including An Introduction to Nonlinear Partial Differential Equations, published by Wiley. He is an Editor of Communications on Applied Nonlinear Analysis and has authored numerous research papers in the areas of mathematical physics, combustion and detonation theory, hydrogeology, and mathematical ecology.
Read More Show Less

Table of Contents


1. Dimensional Analysis, Scaling, & Differential Equations.

2. Perturbation Methods.

3. Calculus of Variations.

4. Eigenvalue Problems, Integral Equations, and Green's Functions.

5. Discrete Models.

6. Partial Differential Equations.

7. Wave Phenomena.

8. Mathematical Models of Continua.


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)