Stochastic Calculus with Infinitesimals: 2067 (Lecture Notes in Mathematics) - Tapa blanda

Herzberg, Frederik S.

9783642331480: Stochastic Calculus with Infinitesimals: 2067 (Lecture Notes in Mathematics)

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ISBN 10: 3642331483 ISBN 13: 9783642331480

Editorial: Springer, 2012

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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. 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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EditorialSpringer
A�o de publicaci�n2012
ISBN 10 3642331483
ISBN 13 9783642331480
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9783642331503: Stochastic Calculus with Infinitesimals

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Stochastic Calculus with Infinitesimals: 2067

Herzberg, Frederik S

Publicado por Springer, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Stochastic Calculus with Infinitesimals

Herzberg, Frederik S.

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Stochastic Calculus with Infinitesimals (Lecture Notes in Mathematics, 2067)

Herzberg, Frederik S.

Publicado por Springer, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Stochastic Calculus With Infinitesimals

Herzberg, Frederik S.

Publicado por Springer, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Stochastic Calculus With Infinitesimals

Herzberg, Frederik S.

Publicado por Springer, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Stochastic Calculus with Infinitesimals

Frederik S. Herzberg

Publicado por Springer Berlin Heidelberg Nov 2012, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Taschenbuch. Condici�n: 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. N� de ref. del art�culo: 9783642331480

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Stochastic Calculus with Infinitesimals (Lecture Notes in Mathematics, 2067)

Herzberg, Frederik S.

Publicado por Springer, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Stochastic Calculus with Infinitesimals

Frederik S. Herzberg

Publicado por Springer Berlin Heidelberg, 2012

ISBN 10: 3642331483 ISBN 13: 9783642331480

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Taschenbuch. Condici�n: 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. N� de ref. del art�culo: 9783642331480

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