ISBN: 9781447153603

[ED: Softcover], [PU: Springer, Berlin], This second edition of the popular textbook contains a comprehensive course in modern probability theory. Overall, probabilistic concepts play an … More...

[ED: Softcover], [PU: Springer, Berlin], 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. xii, 638 S. 26 SW-Abb., 20 Farbabb., 1 Tabellen. 235 mm Sofort lieferbar, DE, Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2017, ISBN: 9781447153603

[ED: Taschenbuch], [PU: Springer London Ltd], Neuware - This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety o… More...

[ED: Taschenbuch], [PU: Springer London Ltd], Neuware - 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., DE, [SC: 23.00], Neuware, gewerbliches Angebot, 235x155x34 mm, 638, [GW: 972g], PayPal, Offene Rechnung, Banküberweisung, Sofortüberweisung, Internationaler Versand<

2013, ISBN: 9781447153603

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 tex… More...

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:  &#8226; limit theorems for sums of random variables &#8226; martingales &#8226; percolation &#8226; Markov chains and electrical networks &#8226; construction of stochastic processes &#8226; Poisson point process and infinite divisibility &#8226; large deviation principles and statistical physics &#8226; Brownian motion &#8226; 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. Buch (fremdspr.) Achim Klenke Taschenbuch, Springer London, 17.09.2013, Springer London, 2013<

2017, ISBN: 9781447153603

[ED: Taschenbuch], [PU: Springer London Ltd], Neuware - This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety o… More...

[ED: Taschenbuch], [PU: Springer London Ltd], Neuware - 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., DE, [SC: 99.99], Neuware, gewerbliches Angebot, 235x155x34 mm, 638, [GW: 972g], Offene Rechnung (Vorkasse vorbehalten), PayPal, Banküberweisung<