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Titlebook: Matrices in Engineering Problems; Marvin J. Tobias Book 2011 Springer Nature Switzerland AG 2011

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发表于 2025-3-21 17:23:56 | 显示全部楼层 |阅读模式
书目名称Matrices in Engineering Problems
编辑Marvin J. Tobias
视频video
丛书名称Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: Matrices in Engineering Problems;  Marvin J. Tobias Book 2011 Springer Nature Switzerland AG 2011
描述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 V
出版日期Book 2011
版次1
doihttps://doi.org/10.1007/978-3-031-02402-3
isbn_softcover978-3-031-01274-7
isbn_ebook978-3-031-02402-3Series ISSN 1938-1743 Series E-ISSN 1938-1751
issn_series 1938-1743
copyrightSpringer Nature Switzerland AG 2011
The information of publication is updating

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978-3-031-01274-7Springer Nature Switzerland AG 2011
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Matrices in Engineering Problems978-3-031-02402-3Series ISSN 1938-1743 Series E-ISSN 1938-1751
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The Concept of Human Betterment,ns. The great object of the former was to counteract the love of money and a taste for luxury, by positive institutions; and to maintain in the great body of the people, habits of frugality, and a severity of manners. The decline of states is uniformly ascribed by the philosophers and historians, bo
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Nietzsche und die tschechoslowakische Kultur 1933 bis 1939,leich auf den gesamten Zeitabschnitt der »ersten Republik« 1918–1939 erweitern. Dies auch deswegen, weil in den 30er Jahren, im Unterschied zu den 20ern, Nietzsches Wirkung auf die tschechische Kultur fast gänzlich aufhörte, was sicher auch mit dem einseitigen »Erfolg« einiger Gedanken Nietzsches bei den deutschen Nachbarn zusammenhängt.
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