Matrices in Engineering Problems (Record no. 85127)
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000 -LEADER | |
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fixed length control field | 03165nam a22005055i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-031-02402-3 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240730163920.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 220601s2011 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783031024023 |
-- | 978-3-031-02402-3 |
082 04 - CLASSIFICATION NUMBER | |
Call Number | 510 |
100 1# - AUTHOR NAME | |
Author | Tobias, Marvin. |
245 10 - TITLE STATEMENT | |
Title | Matrices in Engineering Problems |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XIII, 268 p. |
490 1# - SERIES STATEMENT | |
Series statement | Synthesis Lectures on Mathematics & Statistics, |
505 0# - FORMATTED CONTENTS NOTE | |
Remark 2 | Matrix Fundamentals -- Determinants -- Matrix Inversion -- Linear Simultaneous Equation Sets -- Orthogonal Transforms -- Matrix Eigenvalue Analysis -- Matrix Analysis of Vibrating Systems. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. Table of Contents: Matrix Fundamentals / Determinants / Matrix Inversion / Linear Simultaneous Equation Sets / Orthogonal Transforms / Matrix Eigenvalue Analysis / Matrix Analysis of Vibrating Systems. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-02402-3 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
264 #1 - | |
-- | Cham : |
-- | Springer International Publishing : |
-- | Imprint: Springer, |
-- | 2011. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Statistics . |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Engineering mathematics. |
650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Statistics. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Engineering Mathematics. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 1938-1751 |
912 ## - | |
-- | ZDB-2-SXSC |
No items available.