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The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works.
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Contenuti
Part I. Probability. Basic Notions, Structure, Methods. Chapter 1: Introduction.- Chapter 2: The Probability Space.- Chapter 3: Independence.- Chapter 4. General Theory of Stochastic Processes and Random Functions.- Chapter 5. Limit Theorems.- Part II. Markov Processes and Probability Applications in Analysis.- Chapter I: Markov Processes.- Chapter 2: Probabilistic Representations of Solutions of Partial Differential Equations.- Chapter 3. Wiener Process and the Solution of Equations Involving the Laplace Operator.- Part III. Practical Probability Applications.- Chapter 1. Statistical Methods.- Chapter 2. Controlled Stochastic Processes.- Chapter 3. Information.- Chapter 4. Filtering
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- EditoreSpringer
- Data di pubblicazione2010
- ISBN 10 3642081215
- ISBN 13 9783642081217
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine288
- RedattoreProkhorov Y.V.
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Basic Principles and Applications of Probability Theory
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introductory book by famous authorThe book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for m. Codice articolo 5047168
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Basic Principles and Applications of Probability Theory
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Springer Berlin Heidelberg Okt 2010, 2010
ISBN 10: 3642081215
ISBN 13: 9783642081217
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works. 288 pp. Englisch. Codice articolo 9783642081217
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Basic Principles and Applications of Probability Theory
Editore:
Springer Berlin Heidelberg, 2010
ISBN 10: 3642081215
ISBN 13: 9783642081217
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Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Probability theory arose originally in connection with games of chance and then for a long time it was used primarily to investigate the credibility of testimony of witnesses in the 'ethical' sciences. Nevertheless, probability has become a very powerful mathematical tool in understanding those aspects of the world that cannot be described by deterministic laws. Probability has succeeded in nding strict determinate relationships where chance seemed to reign and so terming them 'laws of chance' combining such contrasting - tions in the nomenclature appears to be quite justi ed. This introductory chapter discusses such notions as determinism, chaos and randomness, p- dictibility and unpredictibility, some initial approaches to formalizing r- domness and it surveys certain problems that can be solved by probability theory. This will perhaps give one an idea to what extent the theory can - swer questions arising in speci c random occurrences and the character of the answers provided by the theory. 1. 1 The Nature of Randomness The phrase 'by chance' has no single meaning in ordinary language. For instance, it may mean unpremeditated, nonobligatory, unexpected, and so on. Its opposite sense is simpler: 'not by chance' signi es obliged to or bound to (happen). In philosophy, necessity counteracts randomness. Necessity signi es conforming to law - it can be expressed by an exact law. The basic laws of mechanics, physics and astronomy can be formulated in terms of precise quantitativerelationswhichmustholdwithironcladnecessity. Codice articolo 9783642081217
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Basic Principles and Applications of Probability Theory
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