An Introduction to Stochastic Differential Equations

Β· American Mathematical Soc.
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Π•-ΠΊΠ½ΠΈΠ³Π°
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Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

This short book provides a quick, but very readable introduction to
stochastic differential equations, that is, to differential equations
subject to additive "white noise" and related random disturbances. The
exposition is concise and strongly focused upon the interplay between
probabilistic intuition and mathematical rigor. Topics include a quick
survey of measure theoretic probability theory, followed by an
introduction to Brownian motion and the ItΓ΄ stochastic calculus, and
finally the theory of stochastic differential equations. The text also
includes applications to partial differential equations, optimal
stopping problems and options pricing.

This book can be used as a
text for senior undergraduates or beginning graduate students in
mathematics, applied mathematics, physics, financial mathematics, etc.,
who want to learn the basics of stochastic differential equations. The
reader is assumed to be fairly familiar with measure theoretic
mathematical analysis, but is not assumed to have any particular
knowledge of probability theory (which is rapidly developed in Chapter 2
of the book).

ΠžΡ†Π΅Π½ΠΈ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈ

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Π—Π° Π°Π²Ρ‚ΠΎΡ€ΠΎΡ‚

Lawrence C. Evans, University of California, Berkeley, CA, USA

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