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Applied Probability 2nd Edition Kenneth Lange

Name: Applied Probability 2nd Edition Kenneth Lange
SKU: BELL-23631316
Price: 31.00 USD
Availability: InStock
Rating: 5 (68 reviews)

SKU: BELL-23631316

$ 31.00 ~~$ 45.00~~ (-31%)

5.0

68 reviews

Applied Probability 2nd Edition Kenneth Lange instant download after payment.

Publisher: Springer New York

File Extension: PDF

File size: 3.06 MB

Author: Kenneth Lange

ISBN: 9781441971647, 1441971645

Language: English

Year: 2010

Edition: 2

Product desciption

Applied Probability 2nd Edition Kenneth Lange by Kenneth Lange 9781441971647, 1441971645 instant download after payment.

Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory.
Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text.
Besides the two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion of basic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientists from a variety of backgrounds will find Applied Probability useful as a reference