Introduction To Stochastic Calculus With Applications

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    Introduction to Stochastic Calculus with Applications
    2nd Edition
    By: Fima C Klebaner
    Publisher:
    ICP
    Print ISBN: 9781860945663, 186094566X
    eText ISBN: 9781848168220, 1848168225
    Edition: 2nd
    Pages: 432
    Format: EPUB
    Available from $ 41.00 USD
    SKU 9781848168220
    This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.
    Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.
    This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.
    Instructors can obtain slides of the text from the author.
    Contents:
    Preliminaries from Calculus
    Concepts of Probability Theory
    Basic Stochastic Processes
    Brownian Motion Calculus
    Stochastic Differential Equations
    Diffusion Processes

    Academics, mathematicians, advanced undergraduates, graduates, practitioners in finance, risk managers and electrical engineers.
     

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