UNITEXT for Physics- Probability and Stochastic Processes for Physicists

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  • Engels
  • Hardcover
  • 9783030484071
  • 26 juni 2020
  • 373 pagina's
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Samenvatting

The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations.

This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein–Smoluchowski and Ornstein–Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schrödinger equation and diffusion processes along the lines of Nelson’s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
26 juni 2020
Aantal pagina's
373
Illustraties
Nee

Betrokkenen

Hoofdauteur
Nicola Cufaro Petroni

Overige kenmerken

Editie
1st ed. 2020
Extra groot lettertype
Nee
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Ja
Verpakking breedte
155 mm
Verpakking hoogte
235 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
746 g

EAN

EAN
9783030484071
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Editie : 1st ed. 2020

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