Engineering analysis : a vector space approach

Bibliographic Information

Engineering analysis : a vector space approach

Robert J. Schilling, Hua Lee

Wiley, 1987

  • : pbk

Available at  / 15 libraries

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Note

"Based on class notes used at the University of California at Santa Barbara."

Includes bibliographies and index

Description and Table of Contents

Volume

: pbk ISBN 9780471628033

Description

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.

Table of Contents

  • 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.
Volume

ISBN 9780471827603

Description

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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