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DVANCED ENGINEERING MATHEMATICS


This book springs from class notes, I developed for a course called Engineer- ing Analysis which I have taught every other fall semester since 1983 at the University of Akron. The course is targeted to students who are beginning graduate study in engineering. The students enrolled are first- and second-year graduate students in the Department of Mechanical Engineering, although I have taught students from other engineering disciplines.
At the beginning of the first class, I tell my students that I have two objec- tives in teaching the class. The first is to prepare them for subsequent gradu- ate courses in engineering by teaching mathematical methods that are used in major graduate classes. The second objective is to prepare students to read engineering literature, such as journals and monographs. Students engaged in thesis and dissertation research need a foundation in mathematical termi- nology and methods to understand previous work in their research area. The title of the course, Engineering Analysis, is vague, but it essentially means “Advanced Engineering Mathematics with Applications.” The course content and the content of this book is exactly that. Contrary to many engineering mathematics courses, the applications are emphasized as well as the physics behind the applications.
The applications are directed toward problems encountered in graduate engineering classes as well as in emerging areas of practice. An understanding of the modeling methods used to derive the mathematical equations as well as the underlying physics of the problem is usually essential to developing a method to solve the mathematical equations. For this reason, issues of modeling and scaling are discussed along with the analysis methods.
The motivation for the course and this book is to provide students and readers an experience of the marriage of engineering and applied mathemat- ics. As in a marriage, both are equal and complement one another.
S. Graham Kelly - Personal Name
1st Edtion
-13: 978-1-4200-0944
NONE
DVANCED ENGINEERING MATHEMATICS
Management
English
Taylor & Francis Group, LLC
2009
1-532
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