
- 402 pages
- English
- PDF
- Available on iOS & Android
Mathematical Tools for Applied Multivariate Analysis
About this book
Mathematical Tools for Applied Multivariate Analysis provides information pertinent to the aspects of transformational geometry, matrix algebra, and the calculus that are most relevant for the study of multivariate analysis. This book discusses the mathematical foundations of applied multivariate analysis. Organized into six chapters, this book begins with an overview of the three problems in multiple regression, principal components analysis, and multiple discriminant analysis. This text then presents a standard treatment of the mechanics of matrix algebra, including definitions and operations on matrices, vectors, and determinants. Other chapters consider the topics of eigenstructures and linear transformations that are important to the understanding of multivariate techniques. This book discusses as well the eigenstructures and quadratic forms. The final chapter deals with the geometric aspects of linear transformations. This book is a valuable resource for students.
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Information
Table of contents
- Front Cover
- Mathematical Tools for Applied Multivariate Analysis
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Acknowledgments
- CHAPTER 1. The Nature of Multivariate Data Analysis
- CHAPTER 2. Vector and Matrix Operations for Multivariate Analysis
- CHAPTER 3. Vector and Matrix Concepts from a Geometric Viewpoint
- CHAPTER 4. Linear Transformations from a Geometric Viewpoint
- CHAPTER 5. Decomposition of Matrix Transformations: Eigenstructures and Quadratic Forms
- CHAPTER 6. 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