Matrices in Engineering Problems

Language: English

Published by Springer, Springer Jun 2011, 2011

3031012747 / 9783031012747

Series: Book 9 of 72 - Synthesis Lectures on Mathematics & Statistics

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This item is printed on demand - Print on Demand Titel. Neuware -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 SystemsSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 284 pp. Englisch.

Seller Inventory # 9783031012747

Title
Matrices in Engineering Problems
Author
Marvin Tobias
Publisher
Springer, Springer Jun 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3031012747
ISBN 13
9783031012747
Item weight
536 grams
Dimensions
235x191x16 mm
Series
Book 9 of 72: Synthesis Lectures on Mathematics & Statistics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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