Mathematics of engineering systems / Francis H. Raven
Material type:
TextLanguage: English Publication details: New York : McGraw-Hill Book Company, 1966.Edition: International student edDescription: xiii, 524 p. : ill. ; 21 cmSubject(s): DDC classification: - 510.2462 RAV
| Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
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Books
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Gulbanoo Premji Library, Azim Premji University, Bengaluru | DSERT | 2nd Floor | DSERT 510.2462 RAV (Browse shelf(Opens below)) | Available | G27596 |
Includes index.
The Laplace transformation --
Properties of the Laplace --
Properties of the Laplace Transformation --
Linear differential equations --
Engineering applications --
Complex variable theory --
Residue and contour integration --
Partial differential equations --
Boundary value problems --
Vector field theory --
Mapping --
Differential equations with variable coefficients --
Matrices and numerical methods --
Index.
Because of the complex nature of today's engineering problems, the methods of the engineering profession have become increasingly analytical. This has resulted in a marked increase in the mathematical content of engineering courses. The purpose of this text, which is intended for the junior or senior year, is to explain the application of advanced mathematical methods to the solution of engineering problems. Our experience at Notre Dame has shown that the time devoted to this course "pays for itself" by permitting senior engineering courses to proceed at a faster pace and at a higher level than they normally would. When engineering courses must be disrupted to introduce mathematical topics on an "as needed" basis, both the engineering and the mathematics suffer from a lack of continuity. Moreover, sufficient time can seldom be taken to develop the mathematics in depth.
To make the most effective use of mathematics, it is necessary that the engineer understand mathematics in a meaningful manner. Thus, in this text, emphasis is given to explaining how abstract mathematical concepts are used to represent concrete physical phenomena. To achieve breadth, a wide variety of mathematical methods are developed. In addition, examples are chosen to illustrate a broad range of application to such areas as control systems, vibrations, heat transfer, fluid dynamics, electrical and mechanical circuits, dynamics, structures, electromagnetics, field theory, analogies, etc.
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