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.

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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

50+ Million Books in stock & ready to ship! Excellent Prices, Service & Selection.

Visita la pagina della libreria

Informazioni sull?azienda del venditore

Condizioni di vendita e spedizione

Condizioni di vendita

When you see an item on our listing, it means we have it available in one of our warehouses right here right now, ready for same day or next day processing of your order. Over 50+ Million books in stock & ready to ship same day. Customer Service is a top priority for us, we want every customer to be 100% satisfied. We offer the world's largest selection of books, music and video. Maintaining an accurate inventory of more than 50+ Million items, we are able to ship your order the same day it is r...

Ulteriori informazioni

Diritto di recesso

Condizioni di spedizione

SUPER FAST SHIPPING!

Tariffe di spedizione nazionale per U.S.A.

Tariffe di spedizione nazionale per U.S.A.
Quantit� dell?ordine	Da 1 a 3 giorni lavorativi	Da 1 a 3 giorni lavorativi
Primo articolo	EUR 7.70	EUR 17.14

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.