Calculus: Instructors Guide, Stewart

Автор: Shreve, Steven E.
Название: Stochastic Calculus for Finance II
ISBN: 0387401016 ISBN-13(EAN): 9780387401010
Издательство: Springer
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Описание: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions.

Автор: Shreve
Название: Stochastic Calculus for Finance I
ISBN: 0387401008 ISBN-13(EAN): 9780387401003
Издательство: Springer
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Описание: Developed for the professional Master`s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several yearsExercises conclude every chapter;

Автор: Banner, Adrian
Название: Calculus lifesaver
ISBN: 0691130884 ISBN-13(EAN): 9780691130880
Издательство: Wiley
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Описание: For many students, calculus can be the most mystifying and frustrating course they will ever take. This study guide works as a supplement to any single-variable calculus course or textbook. It includes more than 475 examples (ranging from easy to hard) that provide step-by-step reasoning.

Автор: Karatzas
Название: Brownian Motion and Stochastic Calculus
ISBN: 0387976558 ISBN-13(EAN): 9780387976556
Издательство: Springer
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Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.