Stochastic Processes In Classical And Quantum Physics And Engineering
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Stochastic Processes in Classical and Quantum Physics and Engineering
Author: Harish Parthasarathy
language: en
Publisher: Taylor & Francis
Release Date: 2022-12-23
This book covers a wide range of problems involving the applications of stochastic processes, stochastic calculus, large deviation theory, group representation theory and quantum statistics to diverse fields in dynamical systems, electromagnetics, statistical signal processing, quantum information theory, quantum neural network theory, quantum filtering theory, quantum electrodynamics, quantum general relativity, string theory, problems in biology and classical and quantum fluid dynamics. The selection of the problems has been based on courses taught by the author to undergraduates and postgraduates in Electronics and Communications Engineering. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan).
Stochastic Processes and Calculus Explained
"Stochastic Processes and Calculus Explained" is an essential textbook designed to help readers understand and apply stochastic processes across various fields. Written in clear, accessible language, this book provides a solid foundation in probability theory and calculus while diving into stochastic processes, including random variables, probability distributions, Brownian motion, stochastic integration, and stochastic differential equations. We emphasize the practical relevance of these concepts in finance, physics, engineering, and biology. Our guide illustrates how stochastic processes model uncertainty and randomness, aiding in informed decision-making, outcome prediction, and complex system analysis. With real-world examples and exercises, we ensure readers can grasp and apply these concepts effectively. The book offers a strong mathematical foundation, covering key tools and techniques such as probability theory, calculus, and linear algebra, essential for understanding stochastic processes. Catering to readers of all backgrounds and expertise levels, "Stochastic Processes and Calculus Explained" is ideal for beginners and experienced practitioners alike. Its clear explanations, intuitive coverage, and comprehensive approach make it an invaluable resource for students, researchers, and professionals worldwide.
Physics of Stochastic Processes
Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on www.wiley-vch.de