Mathematical Methods in Engineering
- Joseph M. Powers, University of Notre Dame, Indiana
- Mihir Sen, University of Notre Dame, Indiana
This text focuses on a variety of topics in mathematics in common usage in graduate engineering programs including vector calculus, linear and nonlinear ordinary differential equations, approximation methods, vector spaces, linear algebra, integral equations and dynamical systems. The book is designed for engineering graduate students who wonder how much of their basic mathematics will be of use in practice. Following development of the underlying analysis, the book takes students through a large number of examples that have been worked in detail. Students can choose to go through each step or to skip ahead if they so desire. After seeing all the intermediate steps, they will be in a better position to know what is expected of them when solving assignments, examination problems, and when on the job. Chapters conclude with exercises for the student that reinforce the chapter content and help connect the subject matter to a variety of engineering problems. Students have grown up with computer-based tools including numerical calculations and computer graphics; the worked-out examples as well as the end-of-chapter exercises often use computers for numerical and symbolic computations and for graphical display of the results.Read more
- Includes applications to engineering problems
- Features a large number of worked-out problems
- Incorporates the use of numerical and graphical tools
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- Date Published: February 2015
- format: Adobe eBook Reader
- isbn: 9781316190920
- contains: 225 b/w illus. 479 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Multivariable calculus
2. Vectors and tensors in Cartesian coordinates
3. First-order ordinary differential equations
4. Linear ordinary differential equations
5. Approximation methods
6. Linear analysis
7. Linear algebra
8. Linear integral equations
9. Dynamical systems.
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