A First Course in Multivariate Statistics

My goal in writing this book has been to provide teachers and students of multi­ variate statistics with a unified treatment ofboth theoretical and practical aspects of this fascinating area. The text is designed for a broad readership, including advanced undergraduate students and graduate students in statistics, graduate students in bi­ ology, anthropology, life sciences, and other areas, and postgraduate students.

Designed for students with a background in basic algebra, this best-selling introduction to statistics for business and economics text emphasizes inference―with extensive coverage of data collection and analysis as needed to evaluate the reported results of statistical studies and to make good business decisions.

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Designed for readers with a background in basic algebra, this best-selling introduction to statistics for business and economics emphasizes inference—with extensive coverage of data collection and analysis as needed to evaluate the reported results of statistical studies and make good business decisions…

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered.