Authors:
- Step-by-step derivations help students understand the mathematics presented
- Detailed examples illustrate the application of the primary points
- Includes most of the mathematics required for the solution of the more advanced problems in engineering departments
- Solution manuals are available for instructors (all problems) and students (those problems with answers in the book)
- Includes supplementary material: sn.pub/extras
- Request lecturer material: sn.pub/lecturer-material
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
Ordinary differential equations, including a number of physical applicaÂtions, are reviewed in Chapter One. The use of series methods are presented in Chapter Two, Subsequent chapters present Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex variÂables, and wavelets. The material is presented so that four or five subjects can be covered in a single course, depending on the topics chosen and the completeness of coverage.
Incorporated in this textbook is the use of certain computer software packages. Short tutorials on Maple, demonstrating how problems in engineering mathematics can be solved with a computer algebra system, are included in most sections of the text. Problems have been identified at the end of sections to be solved specifically with Maple, and there are computer laboratory activities, which are more difficult problems designed for Maple. In addition, MATLAB and Excel have been included in the solution of problems in several of the chapters.
There is a solutions manual available for those who select the text for their course. This text can be used in two semesters of engineering mathematics. The many helpful features make the text relatively easy to use in the classroom.
Authors and Affiliations
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Mechanical Engineering, Michigan State University, Ann Arbor, USA
Merle C. Potter
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University of Michigan, Ft. Lauderdale, USA
Jack L. Lessing
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Grand Valley State University, Ada, USA
Edward F. Aboufadel
About the authors
Jack L. Lessing received his Ph.D. in mathematics from the University of Illinois and after two years at Bell Laboratories took a position at the University of Michigan. During his long tenure at the University of Michigan he published textbooks, devised new courses, served as thesis advisor for many Ph.D. candidates, published numerous research papers and received the prestigious AMOCO award for his outstanding teaching.
Edward F. Aboufadel received his Ph.D. from Rutgers University and is an Assistant Vice President & Professor of Mathematics at Grand Valley State University. He is an applied mathematician and the co-author of a textbook on wavelets. Aboufadel’s research projects have included automated pothole detection, visualizing water pollution data, and mathematical designs for 3D printing.
Bibliographic Information
Book Title: Advanced Engineering Mathematics
Authors: Merle C. Potter, Jack L. Lessing, Edward F. Aboufadel
DOI: https://doi.org/10.1007/978-3-030-17068-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-17067-7Published: 04 July 2019
Softcover ISBN: 978-3-030-17070-7Published: 14 August 2020
eBook ISBN: 978-3-030-17068-4Published: 14 June 2019
Edition Number: 4
Number of Pages: XIV, 739
Topics: Engineering Mathematics, Mathematical Applications in the Physical Sciences, Theoretical, Mathematical and Computational Physics