Stochastic Calculus With Infinitesimals
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- Engels
- Paperback
- 9783642331480
- 07 november 2012
- 112 pagina's
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Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry.
Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book.
Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book.
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- Paperback
- Oorspronkelijke releasedatum
- 07 november 2012
- Aantal pagina's
- 112
- Illustraties
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Betrokkenen
- Hoofdauteur
- Frederik S. Herzberg
- Tweede Auteur
- Frederik Herzberg
- Hoofduitgeverij
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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- Editie
- 2013 ed.
- Extra groot lettertype
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- Product breedte
- 155 mm
- Product lengte
- 235 mm
- Studieboek
- Nee
- Verpakking breedte
- 156 mm
- Verpakking hoogte
- 15 mm
- Verpakking lengte
- 241 mm
- Verpakkingsgewicht
- 217 g
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- EAN
- 9783642331480
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