Engineering analysis : a vector space approach
著者
書誌事項
Engineering analysis : a vector space approach
Wiley, 1987
- : pbk
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注記
"Based on class notes used at the University of California at Santa Barbara."
Includes bibliographies and index
内容説明・目次
- 巻冊次
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: pbk ISBN 9780471628033
内容説明
Providing a repertoire of analytical tools, useful in the formulation and solution of a variety of engineering analysis problems, particularly problems which make use of the concept of linearity, this book presents a unified treatment of linear spaces, in particular, linear transformations and linear systems. Treatment is thorough - both the finite-dimensional and infinite- dimensional cases are covered. Text proceeds from the general to the particular - important special cases are deduced from the general case - giving the reader a powerful mathematical framework of wide applicability, rather than a list of apparently disparate techniques. The underlying theme of linearity ties the entire presentation together and makes for a unified treatment of the topics investigated. Tables and graphs of classic orthogonal polynomials and algorithms for analysis of finite-dimensional linear transformations are included.
目次
- Vector Spaces
- Normed Vector Spaces
- Inner Product Spaces
- Linear Transformations
- Finite-Dimensional Linear Transformations
- Linear Operators
- Finite-Dimensional Linear Operators
- Linear Differential Systems
- Linear Difference Systems
- Orthogonal Transformations and Amplitude Estimation
- Appendixes
- Subject Index.
- 巻冊次
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ISBN 9780471827603
内容説明
Providing a repertoire of analytical tools, useful in the formulation and solution of a variety of engineering analysis problems, particularly problems which make use of the concept of linearity, this book presents a unified treatment of linear spaces, in particular, linear transformations and linear systems. Treatment is thorough - both the finite-dimensional and infinite- dimensional cases are covered. Text proceeds from the general to the particular - important special cases are deduced from the general case - giving the reader a powerful mathematical framework of wide applicability, rather than a list of apparently disparate techniques. The underlying theme of linearity ties the entire presentation together and makes for a unified treatment of the topics investigated. Tables and graphs of classic orthogonal polynomials and algorithms for analysis of finite-dimensional linear transformations are included.
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