This updated third edition of Shiryaev’s work on probability contains a systematic treatment from the ground up, starting with intuitive ideas, then developing more sophisticated subjects. Examples are discussed in detail, and there are a large number of exercises.
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“This book is axiomatic and abstract, and presents a comprehensive but pure-math approach to probability theory. ... There are good exercises throughout the book ... . I think this is a good book if you like this kind of very abstract approach.” (Allen Stenger, MAA Reviews, August, 2017)
“This book provides a general introduction to probability theory, and covers several advanced topics. ... Numerous examples and problems help the reader to understand the topics. The book is recommended to master and PhD students in mathematics.” (László Viharos, Acta Scientiarum Mathematicarum, Vol. 83 (1-2), 2017)
It is clear that this book contains important and interesting results obtained through a long time period, beginning with the classical Bernoulli's law of large numbers, and ending with very recent results concerning convergence of martingales and absolute continuity of probability measures. Let us note especially that the great number of ideas, notions and statements in the book are well-motivated, explained in detail and illustrated by suitably chosen examples and a large number of exercises. Thus, the present book is a synthesis of all significant classical ideas and results, and many of the major achievements of modern probability theory. In the whole it is a welcome addition to mathematical literature and can become an indispensable textbook for courses in stochastics.
- J. Stoyanov, Zentralblatt
This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for independent study.
To accommodate the greatly expanded material in the third edition of Probability, the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of “π-λ” systems), and the fundamental theorems of mathematical statistics.
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for independent study.To accommodate the greatly expanded material in the third edition of Probability, the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of 'pi- ' systems), and the fundamental theorems of mathematical statistics. Seller Inventory # 9781493979059
Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory. 504 pp. Englisch. Seller Inventory # 9781493979059
Book Description Condition: New. Buy with confidence! Book is in new, never-used condition 1.76. Seller Inventory # bk1493979051xvz189zvxnew
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published 1.76. Seller Inventory # 353-1493979051-new
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Successfully synthesizes the most important classical ideas and results with many of the major achievements of modern probability theoryAuthor provides clear and comprehensive introduction to probability theoryAlbert N. Shiryaev is Chie. Seller Inventory # 447957538
Book Description Paperback. Condition: Brand New. 3rd edition. 503 pages. 9.25x6.10x1.26 inches. In Stock. Seller Inventory # zk1493979051
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