Książka Introduction to Stochastic Analysis Vigirdas Mackevicius

Introduction to Stochastic Analysis

Integrals and Differential Equations

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 11-15 dni
695.39
This is an introduction to stochastic integration and stochastic differential equations written in a...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2011
strony
276
EAN
9781848213111
ISBN
1848213115
Enbook ID
05103631
Waga
550
Wymiary
154 x 241 x 21

Pełny opis

This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology, chemistry, physics, and finances. The presentation is based on the naive stochastic integration, rather than on abstract theories of measure and stochastic processes. The proofs are rather simple for practitioners and, at the same time, rather rigorous for mathematicians. Detailed application examples in natural sciences and finance are presented. Much attention is paid to simulation diffusion processes. The topics covered include Brownian motion; motivation of stochastic models with Brownian motion; Ito and Stratonovich stochastic integrals, Ito's formula; stochastic differential equations (SDEs); solutions of SDEs as Markov processes; application examples in physical sciences and finance; simulation of solutions of SDEs (strong and weak approximations). Exercises with hints and/or solutions are also provided.

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