Advanced Probability and Statistics: Applications to Physics and Engineering

by Harish Parthasarathy

Overview

This book surveys some of the important research work carried out by Indian scientists in the field of pure and applied probability, quantum probability, quantum scattering theory, group representation theory and general relativity.

It reviews the axiomatic foundations of probability theory by A.N. Kolmogorov and how the Indian school of probabilists and statisticians used this theory effectively to study a host of applied probability and statistics problems like parameter estimation, convergence of a sequence of probability distributions, and martingale characterization of diffusions.

It will be an important resource to students and researchers of Physics and Engineering, especially those working with Advanced Probability and Statistics.

Product Details

ISBN-13:	9781000790801
Publisher:	Manakin Press
Publication date:	11/17/2022
Sold by:	Barnes & Noble
Format:	eBook
Pages:	426
File size:	2 MB

About the Author

Harish Parthasarathy received a B.Tech degree in Electrical Engineering from IIT Kanpur and gained his PhD degree in Signal Processing from IIT Delhi in 1994. He worked as a visiting fellow in the Indian Institute of Astro Physics, Bangalore, from 1993 to 1994. He has worked as a faculty member in the Electrical Engineering departments at IIT Bombay and IIT Kanpur. Currently, he is a professor in the Electronics and Communication Division in NSIT, Delhi. He teaches courses on Signal Processing Electromagnetics, transmission lines, wave guides & antennas and electives in quantum field theory, quantum robotics & quantum stochastic processes to undergraduate and postgraduate students. He has published over 70 papers in international journals and conferences and he has also published 12 books on a variety of topics in mathematical physics, signal processing and antenna theory.

Table of Contents

1. Classical and Quantum Probability  2. Quantum Scattering Theory  3. Linear Algebra and Operator Theory  4. Group Theory in Statistical Signal Processing and Control  5. Statistical Aspects of EEG Signal Analysis and Image Processing in the Medical Science  6. Electromagnetism and Quantum Field Theory  7. Some Aspects of Superstring Theory  8. Superconductivity  9. Some Aspects of Large Deviation Theory  10. Contributions of Some Indian Scientists  11. Applied Differential Equations  12. Quantum Signal Processing  13. Aspects of Circuit Theory and Device Physics  14. Index on the Contents and Notes