Mathematical Tools for Applied Multivariate Analysis - J.Douglas Carroll, Paul Green

Mathematical Tools for Applied Multivariate Analysis

, (Autoren)

Anil Chaturvedi (Herausgeber)

Buch | Softcover
376 Seiten
1997
Academic Press Inc (Verlag)
978-0-12-160955-9 (ISBN)
75,95 inkl. MwSt
Illustrates various concepts in matrix algebra, linear structures, and eigenstructures geometrically, numerically, and algebraically. This book presents small numerical examples of the various concepts. It employs many pictures and diagrams to convey an intuitive perception of matrix algebra concepts.
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.

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.

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.

Erscheint lt. Verlag 20.10.1997
Verlagsort San Diego
Sprache englisch
Maße 152 x 229 mm
Gewicht 490 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Sozialwissenschaften Soziologie
ISBN-10 0-12-160955-3 / 0121609553
ISBN-13 978-0-12-160955-9 / 9780121609559
Zustand Neuware
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