Mathematical tools for applied multivariate analysis

著者

書誌事項

Mathematical tools for applied multivariate analysis

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

Academic, 1997

Rev. ed

  • : hbk
  • : pbk

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注記

Includes bibliographical references and index

内容説明・目次

巻冊次

: hbk ISBN 9780121609542

内容説明

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.

目次

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.
巻冊次

: pbk ISBN 9780121609559

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA33647907
  • ISBN
    • 0121609545
    • 0121609553
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    San Diego ; Tokyo
  • ページ数/冊数
    xiii, 376 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
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