Mathematics for Mechanical Engineers gives mechanical engineers easy access to essential problem solving tools. It includes thorough sections on partial differential equations, approximation methods, and numerical methods, often used in applications. The guide reviews statistics relevant to engineering applications for analyzing data and making inferences, so professionals can extract useful information even with the presence of randomness and uncertainty. This convenient book is an indispensable summary of mathematics processes needed by engineers.

The multivariate normal distribution has played a predominant role in the historical development of statistical theory, and has made its appearance in various areas of applications. Although many of the results concerning the multivariate normal distribution are classical, there are important new results which have been reported recently in the literature but cannot be found in most books on multivariate analysis. These results are often obtained by showing that the multivariate normal density function belongs to certain large families of density functions. Thus, useful properties of such...