Jacobians of Matrix Transformations and Functions of Matrix Argument by A M Mathai
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About this book :-
Jacobians of Matrix Transformations and Functions of Matrix Argument written by
A M Mathai.
This book deals with generalized hypergeometric functions. The main topic is Meijer's G-function and its applications to various practical problems in Statistical Distributions, Prior and Posterior Distributions, Characterizations of Probability Laws. Hard Limiting of Several Sinusoidal Signals in Communication Theory, Conduction of Heat and Cooling and Dual integral Equations. This book gives a balanced treatment of theory and applications. Out of the seven chapters the last three are devoted to applications.
Book Detail :-
Title: Jacobians of Matrix Transformations and Functions of Matrix Argument
Edition:
Author(s): A M Mathai
Publisher: World Scientific
Series:
Year: 1997
Pages: 435
Type: PDF
Language: English
ISBN: 9789810230951
Country: India
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About Author :-
Arak Mathai Arakaparampil Mathai "Arak" Mathai (born 1935) is an Indian mathematician who has worked in Statistics, Applied Analysis, Applications of special functions and Astrophysics. Mathai established the Centre for Mathematical Sciences, Palai, Kerala, India.
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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Book Contents :-
Jacobians of Matrix Transformations and Functions of Matrix Argument written by
A M Mathai
cover the following topics.
1. Jacobians of matrix tranformations
2. Jacobians in orthogonal and related tranformations
3. Jocabinns in the complex case
4. Tranformations involving eigenvalues and unitary matrices
5. Some Special functions of matrix argument
6. Functions of matrix argument in the comlex case
Appendix
Bibliography
Glossary of symbols
Author Index
Subject Index
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