Probability Theory: A Comprehensive Course (Universitext)

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9781447153603: Probability Theory: A Comprehensive Course (Universitext)

This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including:
 · limit theorems for sums of random variables
· martingales
· percolation
· Markov chains and electrical networks
· construction of stochastic processes
· Poisson point process and infinite divisibility
· large deviation principles and statistical physics
· Brownian motion
· stochastic integral and stochastic differential equations.

The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in probability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulations and some difficult proofs have been made more accessible. A wealth of examples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathematics and statistics in physics, computer science, economics and biology.

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From the Back Cover:

This second edition of the popular textbook contains a comprehensive course in modern probability theory. Overall, probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineering and computer science. They help us in understanding magnetism, amorphous media, genetic diversity and the perils of random developments at financial markets, and they guide us in constructing more efficient algorithms.
 
To address these concepts, the title covers a wide variety of topics, many of which are not usually found in introductory textbooks, such as:
 
· limit theorems for sums of random variables
· martingales
· percolation
· Markov chains and electrical networks
· construction of stochastic processes
· Poisson point process and infinite divisibility
· large deviation principles and statistical physics
· Brownian motion
· stochastic integral and stochastic differential equations.

The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in probability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulations and some difficult proofs have been made more accessible. A wealth of examples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathematics and statistics in physics, computer science, economics and biology.

About the Author:

Achim Klenke is a professor at the Johannes Gutenberg University in Mainz, Germany. 

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Achim Klenke
Editorial: Springer 2013-09-17 (2013)
ISBN 10: 144715360X ISBN 13: 9781447153603
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Descripción Springer 2013-09-17, 2013. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-LBR-01225017

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Achim Klenke
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Descripción Springer London Ltd, United Kingdom, 2013. Paperback. Estado de conservación: New. 2nd ed. 2014. Language: English . Brand New Book. This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in probability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulations and some difficult proofs have been made more accessible. A wealth of examples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathematics and statistics in physics, computer science, economics and biology. Nº de ref. de la librería AAZ9781447153603

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Achim Klenke
Editorial: Springer London Ltd, United Kingdom (2013)
ISBN 10: 144715360X ISBN 13: 9781447153603
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Descripción Springer London Ltd, United Kingdom, 2013. Paperback. Estado de conservación: New. 2nd ed. 2014. Language: English . Brand New Book. This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in probability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulations and some difficult proofs have been made more accessible. A wealth of examples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathematics and statistics in physics, computer science, economics and biology. Nº de ref. de la librería AAZ9781447153603

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ISBN 10: 144715360X ISBN 13: 9781447153603
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Descripción Springer London 2013-09-17, London, 2013. paperback. Estado de conservación: New. Nº de ref. de la librería 9781447153603

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Descripción Springer London Ltd, 2013. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9781447153603

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Descripción Springer, 2013. Estado de conservación: New. This second edition of the popular textbook contains a comprehensive course in modern probability theory. It includes a wealth of examples and more than 270 exercises as well as biographic details of key mathematicians. Series: Universitext. Num Pages: 638 pages, 26 black & white illustrations, 20 colour illustrations, 1 black & white tables, biograph. BIC Classification: PBKF; PBKL; PBT; PBWR; PHS. Category: (P) Professional & Vocational. Dimension: 236 x 157 x 25. Weight in Grams: 918. . 2013. 2nd ed. 2014. Paperback. . . . . . Nº de ref. de la librería V9781447153603

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Descripción Paperback. Estado de conservación: New. Not Signed; This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and ele. book. Nº de ref. de la librería ria9781447153603_rkm

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Descripción Springer, 2013. Estado de conservación: New. Nº de ref. de la librería L9781447153603

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Descripción Springer. Estado de conservación: New. This second edition of the popular textbook contains a comprehensive course in modern probability theory. It includes a wealth of examples and more than 270 exercises as well as biographic details of key mathematicians. Series: Universitext. Num Pages: 638 pages, 26 black & white illustrations, 20 colour illustrations, 1 black & white tables, biograph. BIC Classification: PBKF; PBKL; PBT; PBWR; PHS. Category: (P) Professional & Vocational. Dimension: 236 x 157 x 25. Weight in Grams: 918. . 2013. 2nd ed. 2014. Paperback. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9781447153603

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Descripción Springer London Ltd, 2013. PAP. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9781447153603

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