000 01712nmm a2200193Ia 4500
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020 _a9780849380716
082 _a519.2
_bD938S
100 _aDurrett, Richard.
_eAuthor
_lEnglish
_9910
245 0 _aStochastic Calculus
_b: A Practical Introduction
_c/ by Richard Durrett.
_h[Electronic Resource]
260 _aBoca Raton
_b: CRC Press,
_c1996
300 _a341p.
440 _aProbability and Stochastics Series
_9473
520 _aThis compact yet thorough text zeros in on the parts of the theory that are particularly relevant to applications. It begins with a description of Brownian motion and the associated stochastic calculus, including their relationship to partial differential equations. It solves stochastic differential equations by a variety of methods and studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions, and presenting a quick course in weak convergence of Markov chains to diffusions. The presentation is unparalleled in its clarity and simplicity. Whether your students are interested in probability, analysis, differential geometry or applications in operations research, physics, finance, or the many other areas to which the subject applies, you'll find that this text brings together the material you need to effectively and efficiently impart the practical background they need.
650 _aStochastic Analysis
_9470
650 _aStochastic Processes
_915500
856 _uhttp://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1761292
_qPDF
_yClick to Access the Online Book
942 _cEBK
_nYes
999 _c11978
_d11978