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Synopsis
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...
- PublisherSpringer
- Publication date2012
- ISBN 10 3642331483
- ISBN 13 9783642331480
- BindingPaperback
- LanguageEnglish
- Number of pages130
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Stochastic Calculus with Infinitesimals: 2067
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Stochastic Calculus With Infinitesimals
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Stochastic Calculus with Infinitesimals
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Stochastic Calculus with Infinitesimals (Lecture Notes in Mathematics, 2067)
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Stochastic Calculus with Infinitesimals (Lecture Notes in Mathematics, 2067)
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Stochastic Calculus with Infinitesimals
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Springer Berlin Heidelberg Nov 2012, 2012
ISBN 10: 3642331483
ISBN 13: 9783642331480
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 132 pp. Englisch. Seller Inventory # 9783642331480
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Stochastic Calculus with Infinitesimals
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ISBN 10: 3642331483
ISBN 13: 9783642331480
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783642331480
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Stochastic Calculus with Infinitesimals
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ISBN 10: 3642331483
ISBN 13: 9783642331480
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Stochastic Calculus With Infinitesimals
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