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Stochastic Calculus with Infinitesimals Cover Image E-book E-book

Stochastic Calculus with Infinitesimals [electronic resource] / by Frederik Herzberg.

Record details

  • ISBN: 9783642331497
  • Physical Description: XVIII, 112 p. online resource.
  • Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2013.
Subject: Mathematics.
Logic, Symbolic and mathematical.
Distribution (Probability theory).
Mathematics.
Mathematical Logic and Foundations.
Probability Theory and Stochastic Processes.
Game Theory, Economics, Social and Behav. Sciences.
Mathematical Physics.

Electronic resources


1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
4 The radically elementary Girsanov theorem and the diffusion invariance principle
5 Excursion to nancial economics: A radically elementary approach to the fundamental theorems of asset pricing
6 Excursion to financial engineering: Volatility invariance in the Black-Scholes model
7 A radically elementary theory of Itô diffusions and associated partial differential equations
8 Excursion to mathematical physics: A radically elementary definition of Feynman path integrals
9 A radically elementary theory of Lévy processes
10 Final remarks.

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