Matrices in engineering problems /
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
[San Rafael, Calif.] :
Morgan & Claypool Publishers,
[2011]
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| Series: | Synthesis lectures on mathematics and statistics ;
#10. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Abstract: | This book is intended as an undergraduate text introducing matrix methods as they relate to engineering problems. It begins with the fundamentals of mathematics of matrices and determinants. Matrix inversion is discussed, with an introduction of the well known reduction methods. Equation sets are viewed as vector transformations, and the conditions of their solvability are explored. Orthogonal matrices are introduced with examples showing application to many problems requiring three dimensional thinking. The angular velocity matrix is shown to emerge from the differentiation of the 3-D orthogonal matrix, leading to the discussion of particle and rigid body dynamics. The book continues with the eigenvalue problem and its application to multi-variable vibrations. Because the eigenvalue problem requires some operations with polynomials, a separate discussion of these is given in an appendix. The example of the vibrating string is given with a comparison of the matrix analysis to the continuous solution. |
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| Item Description: | Title from PDF title page (Morgan & Claypool, viewed July 29, 2011). Electronic resource. |
| Physical Description: | 1 online resource (xii, 268 pages) : illustrations |
| Bibliography: | Includes bibliographical references (page 261) and index. |
| ISBN: | 9781608456598 (electronic bk.) 1608456595 (electronic bk.) 9781608456581 1608456587 |