Download Ebook Markov Processes: An Introduction for Physical Scientists, by Daniel T. Gillespie
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Markov Processes: An Introduction for Physical Scientists, by Daniel T. Gillespie
Download Ebook Markov Processes: An Introduction for Physical Scientists, by Daniel T. Gillespie
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Markov process theory is basically an extension of ordinary calculus to accommodate functions whos time evolutions are not entirely deterministic. It is a subject that is becoming increasingly important for many fields of science. This book develops the single-variable theory of both continuous and jump Markov processes in a way that should appeal especially to physicists and chemists at the senior and graduate level.
Key Features
* A self-contained, prgamatic exposition of the needed elements of random variable theory
* Logically integrated derviations of the Chapman-Kolmogorov equation, the Kramers-Moyal equations, the Fokker-Planck equations, the Langevin equation, the master equations, and the moment equations
* Detailed exposition of Monte Carlo simulation methods, with plots of many numerical examples
* Clear treatments of first passages, first exits, and stable state fluctuations and transitions
* Carefully drawn applications to Brownian motion, molecular diffusion, and chemical kinetics
- Sales Rank: #2717114 in eBooks
- Published on: 1991-12-02
- Released on: 1991-12-02
- Format: Kindle eBook
Most helpful customer reviews
9 of 9 people found the following review helpful.
Complete and Clear Introduction
By Don S. Lemons
I have read and worked through much of Gillespie's book. It was exactly what I needed in the way of a meaty but clear and accessible introduction to the subject. I know of no other book like it. There are good books that are more mathematically oriented (Okesendahl), that outline rather than narrate (Gardiner), and that introduce a more limited content (my own), but there is nothing like Gillespie's book: introductory yet wide-ranging content. It was perfect for this physicist who wanted to be introduced to the details of the subject.
0 of 0 people found the following review helpful.
Good reference on single-variable Markov processes.
By CA hiker
Good coverage of single-variable Markov processes. I particularly liked the multiple approaches to Brownian motion. A drawback is the sections are difficult to navigate because there's no clear separation between the main results and derivations. This makes it tedious to flip through the book looking for a specific result, or to find figures or equations mentioned again later in the text. If you're looking for a shorter summary with more connection to physics, I suggest An Introduction to Stochastic Processes in Physics (Johns Hopkins Paperback)An Introduction to Stochastic Processes in Physics (Johns Hopkins Paperback)
0 of 0 people found the following review helpful.
Five Stars
By evan22
This is a very clear book that is perfect for physicists interested in the topic.
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