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Jacobians of Matrix Transformation...

by Mathai a M

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A worked guide to Jacobians in matrix transformations

$108.26 USD
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AlbakiReads Editorial

A worked guide to Jacobians in matrix transformations

Mathai’s book focuses on evaluating Jacobians for selected linear and nonlinear matrix transformations, treating both real and complex cases. It develops techniques through worked examples and section-ending exercises, with self-study and a one-semester graduate course among its stated uses. The applications named in the description span statistics, physics, engineering, biology, and the social sciences. Its mathematical entry point is multivariable calculus, while the subject matter centers on transformations of matrices and functions of matrix arguments.

Good fit for readers who enjoy

  • Graduate students studying Jacobians or functions of matrix arguments
  • Readers with some multivariable calculus seeking worked examples and exercises
  • Statisticians, engineers, physicists, econometricians, and applied mathematicians

Themes

Jacobians of matrix transformationsReal and complex casesLinear and nonlinear transformationsApplications across applied sciences

Based on publisher information and book metadata.

Book overview

This book concentrates on the topic of evaluation of Jacobians in some specific linear as well as nonlinear matrix transformations, in the real and complex cases, which are widely applied in the statistical, physical, engineering, biological and social sciences. It aims to develop some techniques systematically so that anyone with a little exposure to multivariable calculus can easily follow the steps and understand the various methods by which the Jacobians in complicated matrix transformations are evaluated. The material is developed slowly, with lots of worked examples, aimed at self-study. Some exercises are also given, at the end of each section.

 

The book is a valuable reference for statisticians, engineers, physicists, econometricians, applied mathematicians and people working in many other areas. It can be used for a one-semester graduate level course on Jacobians and functions of matrix argument.

 

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