Mathematical tools for applied multivariate analysis

Author(s)

Bibliographic Information

Mathematical tools for applied multivariate analysis

J. Douglas Carroll, Paul E. Green, Anil Chaturvedi

Academic, 1997

Rev. ed

  • : hbk
  • : pbk

Available at  / 41 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Volume

: hbk ISBN 9780121609542

Description

This revised edition presents the relevant aspects of transformational geometry, matrix algebra, and calculus to those who may be lacking the necessary mathematical foundations of applied multivariate analysis. It brings up-to-date many definitions of mathematical concepts and their operations. It also clearly defines the relevance of the exercises to concerns within the business community and the social and behavioral sciences. Readers gain a technical background for tackling applications-oriented multivariate texts and receive a geometric perspective for understanding multivariate methods. Mathematical Tools for Applied Multivariate Analysis, Revised Edition illustrates major concepts in matrix algebra, linear structures, and eigenstructures geometrically, numerically, and algebraically. The authors emphasize the applications of these techniques by discussing potential solutions to problems outlined early in the book. They also present small numerical examples of the various concepts.

Table of Contents

The Nature of Multivariate Data Analysis. Vector and Matrix Operations for Multivariate Analysis. Vector and Matrix Concepts from a Geometric Viewpoint. Linear Transformations from a Geometric Viewpoint. Decomposition of Matrix Transformations: Eigenstructures and Quadratic Forms. Applying the Tools to Multivariate Data. Appendices: Symbolic Differentiation and Optimization of Multivariable Functions. Linear Equations and Generalized Inverses. Answers to Numerical Problems. References. Index.
Volume

: pbk ISBN 9780121609559

Description

This revised edition presents the relevant aspects of transformational geometry, matrix algebra, and calculus to those who may be lacking the necessary mathematical foundations of applied multivariate analysis. It brings up-to-date many definitions of mathematical concepts and their operations. It also clearly defines the relevance of the exercises to concerns within the business community and the social and behavioral sciences. Readers gain a technical background for tackling applications-oriented multivariate texts and receive a geometric perspective for understanding multivariate methods."Mathematical Tools for Applied Multivariate Analysis, Revised Edition illustrates major concepts in matrix algebra, linear structures, and eigenstructures geometrically, numerically, and algebraically. The authors emphasize the applications of these techniques by discussing potential solutions to problems outlined early in the book. They also present small numerical examples of the various concepts.

Table of Contents

The Nature of Multivariate Data Analysis. Vector and Matrix Operations for Multivariate Analysis. Vector and Matrix Concepts from a Geometric Viewpoint. Linear Transformations from a Geometric Viewpoint. Decomposition of Matrix Transformations: Eigenstructures and Quadratic Forms. Applying the Tools to Multivariate Data. Appendix A: Symbolic Differentiation and Optimization of Multivariable Functions. Appendix B: Linear Equations and Generalized Inverses. Answers to Numerical Problems. References. Index.

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Details

  • NCID
    BA33647907
  • ISBN
    • 0121609545
    • 0121609553
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    San Diego ; Tokyo
  • Pages/Volumes
    xiii, 376 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
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