R Manual for Health Science Researchers

Linear Algebra with Applications portrays selected articles published earlier by Prof Ravindra B Bapat in various reputed journals. This volume published in honour of Prof Bapat, on the occasion of his 60th birthday, consists of his original research articles written in the area of (i) Permanent, Determinant and their applications, (ii) Non-negative Matrices, (iii) Matrix Methods in Statistics and Graph theory, and (iv) Generalized Inverses of a Matrix. Starting with an article A Generalization of a Theorem of Ky Fan on Simplicial Maps, his first article published in 1980, several articles probing the properties of permanent and determinant, characterization of generalized inverses, spectral properties of graphs, and applications of matrix methods in statistics are compiled in this volume. The articles selected in this book will certainly inspire the young linear algebraists and provide several matrix techniques to solve different problems in the area of applied linear algebra.

Author: Santhosh C, Vasudevan Baskaran Kartha

Biomedical spectroscopy is the output of the intensive discussions of the authors and the medical professionals of Kasturba Medical College, Manipal University. The ?Centre for Laser Spectroscopy?, a centre for developing biomedical applications of laser spectroscopic methods, was established at Manipal University in 1997. The scientists of the Centre, together with the physicians, surgeons, and pathologists of the KMC, initiated a number of research programs in this area. The main aim of the Centre was to develop spectroscopic methods for early detection, screening, monitoring therapy and identification of disease markers, with special emphasis on various cancers, so that these techniques can be applied for routine healthcare applications. Outcome of these research activities are covered in the book. A common platform of information can provide a more open communication enabling faster and better evolution of the spectroscopic methods for biomedical applications.

Lectures on Matrix and Graph Methods Lectures on Matrix and Graph Methods portrays selected lectures delivered by leading Mathematicians and Statisticians in the International Workshop on Combinatorial Matrix Theory and Generalized Inverses of Matrices organized by Department of Statistics, Manipal University, Manipal, India, during January 2-7, 2012. This book covers the topics even beyond the traditional applications of matrix theory and spectral theory of graphs. Graph Theoretic Applications to Computing the Nucleolus of an Assignment Game by T E S Raghavan and Introduction to Yantra Magic Squares and Agrippa-type Magic Matrices by G P H Styan et al. are among those topics. Also, an interview with S K Mitra in 1993 by G P H Styan and Simo Puntanen is presented here.

Ravindra B Bapat, Steve Kirkland, K Manjunatha Prasad, Simo Puntanen Ravindra B Bapat is at the Indian Statistical Institute, Delhi Centre. His main areas of interest are combinatorial matrix theory, matrices and graphs, and generalized inverses. He is a Fellow of the Indian Academy of Sciences, Indian National Science Academy and a J C Bose Fellow. He served as the President of the Indian Mathematical Society during 2007-2008. Steve Kirkland is a Stokes Professor at the National University of Ireland Maynooth. His research interests include non-negative matrix theory, spectral graph theory, and combinatorial matrix theory. He is currently the Editor-in-chief of the journal ?Linear and Multilinear Algebra?, and the President of the International Linear Algebra Society. K Manjunatha Prasad earned his PhD from Indian Statistical Institute. Currently, he is a Professor of Mathematics at Department of Statistics, Manipal University, Manipal. His research interests are matrix theory, generalized inverse, ring theory and projective modules. Simo Puntanen earned his PhD in statistics from the University of Tampere (Finland) in 1987, where he is presently a Lecturer.