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Arguin presents a textbook for a course introducing stochasticcalculus to advanced undergraduate mathematics students, and tomaster's students in financial engineering. His goal is to makestochastic calculus accessible to students and practitioners in themany fields where it would be helpful, so, for example avoids measure theory concepts whenever possible. His topics include basic notions of probability, properties of Brownian motion, Ito calculus, Ito processes and stochastic differential equations, and applications to mathematical finance. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
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A First Course in Stochastic Calculus
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American Mathematical Society, 2022
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Paperback. Condizione: New. A First Course in Stochastic Calculus is a complete guide for advanced undergraduate students to take the next step in exploring probability theory and for master's students in mathematical finance who would like to build an intuitive and theoretical understanding of stochastic processes. This book is also an essential tool for finance professionals who wish to sharpen their knowledge and intuition about stochastic calculus.Louis-Pierre Arguin offers an exceptionally clear introduction to Brownian motion and to random processes governed by the principles of stochastic calculus. The beauty and power of the subject are made accessible to readers with a basic knowledge of probability, linear algebra, and multivariable calculus. This is achieved by emphasizing numerical experiments using elementary Python coding to build intuition and adhering to a rigorous geometric point of view on the space of random variables. This unique approach is used to elucidate the properties of Gaussian processes, martingales, and diffusions. One of the book's highlights is a detailed and self-contained account of stochastic calculus applications to option pricing in finance. Codice articolo LU-9781470464882
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A First Course in Stochastic Calculus
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Condizione: New. A complete guide for advanced undergraduate students to take the next step in exploring probability theory and for master s students in mathematical finance who would like to build an intuitive and theoretical understanding of stochastic processes. Codice articolo 595975478
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A First Course in Stochastic Calculus
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American Mathematical Society, US, 2022
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Paperback. Condizione: New. A First Course in Stochastic Calculus is a complete guide for advanced undergraduate students to take the next step in exploring probability theory and for master's students in mathematical finance who would like to build an intuitive and theoretical understanding of stochastic processes. This book is also an essential tool for finance professionals who wish to sharpen their knowledge and intuition about stochastic calculus.Louis-Pierre Arguin offers an exceptionally clear introduction to Brownian motion and to random processes governed by the principles of stochastic calculus. The beauty and power of the subject are made accessible to readers with a basic knowledge of probability, linear algebra, and multivariable calculus. This is achieved by emphasizing numerical experiments using elementary Python coding to build intuition and adhering to a rigorous geometric point of view on the space of random variables. This unique approach is used to elucidate the properties of Gaussian processes, martingales, and diffusions. One of the book's highlights is a detailed and self-contained account of stochastic calculus applications to option pricing in finance. Codice articolo LU-9781470464882
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