Books  Data Analysis & Modelling  Data Analysis & Statistics 

Mathematical Tools for Applied Multivariate Analysis

Out of Print

By: J Douglas Carroll and Paul E Green

376 pages, Figs, tabs

Academic Press

Hardback | Dec 1997 | Edition: 2 | #59066 | ISBN: 0121609545
Out of Print Details

About this book

Introductory text to transformational geometry, matrix algebra, and calculus.

This revision includes an update of terminology and basic mathematical concepts necessitated by the increasing use of multivariate techniques in a wide range of applied fields. It is highly recommended as a companion text for courses in multivariate methods and theory. --JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION "[The book's] approach is unique and should be an interesting and effective way to learn basic linear algebra, even for some who are primarily interested in linear algebra for its own sake." --CHOICE "It provides a careful and thorough introduction to vectors and matrices. Especially valuable is the material providing geometric interpretations... A particular strength of the book is the frequent use of small numberical examples which, for example, actually demonstrate the useful properties of determinants, and make absolutely clear what is meant by operations like the multiplication of matrices. The book is designed for readers who have no prior knowledge of matrix theory, and specifically for students in the behavioural and administrative sciences. However, it is also very clear and useful that it has material of value to anyone using multivariate methods. It should be on the reading list for all courses on multivariate analysis." --B.J.T. Morgan, University of Kent, Canterbury, U.K. in SHORT BOOK REVIEWS, December 1998


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.

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J. Douglas Carroll is the Board of Governor's Professor of Marketing and Psychology in the Graduate School of Management at Rutgers, the State University of New Jersey. He holds a Ph.D. in mathematics from Princeton University. Dr. Carroll has published widely on multidimensional scaling and related techniques of data analysis. He is a member of several professional organizations.

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