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Mathematical Tools for Applied Multivariate Analysis

By (author) J.Douglas Carroll, By (author) Paul E. Green, Edited by Anil Chaturvedi

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For those lacking the necessary mathematical foundations of applied multivariate analysis, this book presents the relevant aspects of transformational geometry, matrix algebra, and calculus. In particular, it 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 occasionally sketch proofs but usually present small numerical examples of the various concepts.;The book provides a technical base for tackling most applications-oriented multivariate texts and provides a geometric perspective for developing an intuitive grasp of multivariate methods. This revised edition brings up-to-date many of the terms that describe the mathematical concepts and their operations. It also more clearly defines the relevance of the exercises to concerns within the business community and the social and behavioural sciences.