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This third edition of Advanced Engineering Mathematics has been completely updated and revised to reflect changes in undergraduate engineering education based on the widespread use of computers. Written specifically for engineering students, it introduces mathematical methods essential to solving real-world problems.

Written in a clear, accessible style, the third edition incorporates three software packages–Maple®, Excel®, and MATLAB®–in problems and examples throughout the text. Topics covered include series methods, Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex variables, and wavelets.

Advanced Engineering Mathematics, Third Edition, is ideal for upper-level undergraduate or first-year graduate courses in advanced engineering mathematics, engineering analysis, or applied mathematics.

Features

®Written for engineering students

®Focuses on real-world problems

® Incorporates Maple® throughout, with some applications of Excel® and MATLAB®

®Reviews solutions of ordinary differential equations

®Presents a new chapter on wavelets and a new section on Fourier Transforms

A Solutions Manual (0-19-522215-6) is available to adopters.

- Sales Rank: #1368570 in Books
- Published on: 2005-02-17
- Original language: English
- Number of items: 1
- Dimensions: 7.70″ h x 1.40″ w x 9.20″ l, 2.87 pounds
- Binding: Hardcover
- 752 pages

About the Author

Merle C. Potter is Professor Emeritus of Engineering at Michigan State University and was the first recipient of the Teacher-Scholar award. He has authored or coauthored twenty-four textbooks and exam review books.

Jack Goldberg is Professor Emeritus of Mathematics at the University of Michigan. He has published several textbooks and numerous research papers.

Edward F. Aboufadel is Associate Professor of Mathematics at Grand Valley State University. He is coauthor of an undergraduate textbook on wavelets.

Most helpful customer reviews

9 of 9 people found the following review helpful.

A well-written and gentle introduction to advanced mathematics for engineers, but with only a minimum set of solutions.

By One-Reader

This book will appeal primarily to engineers, scientists, and analysts who use mathematics as an application tool for practical problems. Although it will have less appeal for mathematicians, sections of this book may provide them with helpful preludes to more rigorous presentations.

The text provides a reasonably comprehensive introduction to key mathematical topics of interest to engineers and scientists including, ODEs, Series Methods, Laplace Transforms, Matrices, Vector Algebra, Fourier Series, PDEs, Numerical Methods, Complex Variables, and Wavelets.

The book’s primary strength is its gentle presentation of potentially difficult topics using a well-organized step-by-step approach with lots of solved in-text examples, and it ties it’s presentations to current software technology. Although computer technology plays an increasingly important role in the solution of real problems by subject matter experts, many mathematical presentations often ignore or minimize this importance. Here applications are integrated with both analytical and technology solutions using, primarily, Maple but also addressing Matlab and even Excel. The appropriate Maple commands are discussed and explained in the text and an Appendix has a short overview of Maple. This is much more appropriate than leaving technology solutions to be studied separately. The book also includes material of contemporary importance, e.g., wavelets not normally found in similar works.

The book’s primary weakness is its lack of fully worked solutions to problem sets. Only solutions to even number problems are provided, and even here not all even number problems are provided with answers. Solutions only provide the final answers not the steps necessary to obtain the answers. Thus, even if a matching answer is obtained it is not clear if the best approach to obtain the answer was used. End of sections problems often include specific problems to be solved with Maple; however, the Maple commands to obtain these results are not provided in the solution key. To put the solution issue in context: although the book is over 700 pages long the “Answers to Selected Problems” section is only 15 pages.

This is an excellent guide to advanced applications for engineers and scientists that can serve as both a text and reference, providing discussions of both analytical and technology solutions. Its major fault is its lack of fully-worked solutions to problem sets, and only providing answers to some, albeit many, even number questions. If the solution insufficiencies were corrected this work would easily merit five stars. However, even with its solutions deficiencies, this well-written work with its numerous solved in-text examples, is easy to recommend. If used in conjunction with a source of problems with fully-worked solutions this would be an outstanding introduction to advanced engineering mathematics.

3 of 5 people found the following review helpful.

Refreshing in its broad appeal

By Palle E T Jorgensen

For many math departments around the country, a good part of course offerings consists of service courses for engineering. As a result, there are lots of textbooks around written to fit a particular niece. And the result is often a fairly narrow focus.

This lovely book is refreshing in its broad appeal: advanced engineering mathematics, engineering analysis, or applied mathematics. Designed for engineering students, it is well balanced and useful for its primary mission as well as for students in a related variety of mid-to upper level undergraduate courses; even for math majors.

Although its stated target audience is upper-level undergraduate students or first-year graduates, it may work well as a supplementary text in differential equations, in transform theory, and in applied mathematics, more generally.

Selections from the contents: Reals and complex, differential equations (both ordinary (ODEs) and partial (PDEs)), transforms (including Fourier and wavelets), matrix theory and linear algebra, numerical methods.

Special features in the new edition: Focuses on real-world problems; Incorporates MapleRG throughout, with some applications of ExcelRG and MATLABRG. includes Review solutions of ordinary differential equations + a new chapter on wavelets and a new section on Fourier Transforms. Review by Palle Jorgensen, March 2008.

0 of 0 people found the following review helpful.

Five Stars

By Manfang Ying

good book

See all 4 customer reviews…

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