Solving the four simultaneous equations by hand is relatively easy, but as the number of departments grows, it's convenient to use

matrix algebra and a computer to find the solution.

Conversion from nonstandard

matrix algebras to standard factors of type I[I.

While the use of Markov chains to estimate collections of accounts receivable is not new, the ability to use Microsoft Excel to perform the needed

matrix algebra calculations is.

You don't have to be a theoretician to appreciate this book, but you would be well-advised to brush up on basic concepts of calculus and

matrix algebra, and to have had at least an introduction to basic mathematical population biology such as that provided by two recent textbooks at the advanced-undergraduate level (Gotelli, Nicholas.

algebra, can be written as a direct sum of simple

matrix algebras [M.

Background in object-oriented programming, Java and its Abstract Window Toolkit, Java configuration details, event-driven programming, basic

matrix algebra and trigonometry, and awareness of color models is assumed.

Montgomery and Runger offer this applied statistics text for undergraduates, designed to be accessible with one or two semesters of calculus and some

matrix algebra.

By the time we get to sampling variance of parameter estimates, the readers had better be up on their calculus and

matrix algebra.

Taylor series, eigenanalysis,

matrix algebra, finding equilibria, evaluating stability) are presented in 21 boxes scattered throughout the text.

This gives them a feel for the modeling aspect of the method early in the course, he says, and the analysis of Markov chains uses tools from

matrix algebra, which students can access through popular matrix-oriented software packages to do numerical experimentation.

The book begins by articulating salient points about ecological data in particular, such as the many functional correlations that must be adjusted for without ascribing as-yet-unexplained variation to random noise, then covers the mathematical foundations of

matrix algebra and dimensional analysis.

Readers also need some algebra and even

matrix algebra unless they are willing to take some parts of the text on faith.