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Springer Undergraduate Mathematics Series

Basic Stochastic Processes

A Course Through Exercises

Authors: Brzezniak, Zdzislaw, Zastawniak, Tomasz

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  • ISBN 978-1-4471-0533-6
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  • Immediate eBook download after purchase
Softcover $49.95
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  • ISBN 978-3-540-76175-4
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About this Textbook

This book has been designed for a final year undergraduate course in stochastic processes. It will also be suitable for mathematics undergraduates and others with interest in probability and stochastic processes, who wish to study on their own. The main prerequisite is probability theory: probability measures, random variables, expectation, independence, conditional probability, and the laws of large numbers. The only other prerequisite is calculus. This covers limits, series, the notion of continuity, differentiation and the Riemann integral. Familiarity with the Lebesgue integral would be a bonus. A certain level of fundamental mathematical experience, such as elementary set theory, is assumed implicitly. Throughout the book the exposition is interlaced with numerous exercises, which form an integral part of the course. Complete solutions are provided at the end of each chapter. Also, each exercise is accompanied by a hint to guide the reader in an informal manner. This feature will be particularly useful for self-study and may be of help in tutorials. It also presents a challenge for the lecturer to involve the students as active participants in the course.

Reviews

This book fulfils its aim of providing good and interesting material for advanced undergraduate study.

The Times Higher Education Supplement

This is probably one of the best books to begin learning about the sometimes complex topic of stochastic calculus and stochastic processes from a more mathematical approach. Some literature are often accused of unnecessarily complicating the subject when applied to areas of finance. With this book you are allowed to explore the rigorous side of stochastic calculus, yet maintain a physical insight of what is going on. The authors have concentrated on the most important and useful topics that are encountered in common physical and financial systems

www.quantnotes.com

 


Table of contents (7 chapters)

  • Review of Probability

    Brzeźniak, Zdzisław (et al.)

    Pages 1-15

  • Conditional Expectation

    Brzeźniak, Zdzisław (et al.)

    Pages 17-43

  • Martingales in Discrete Time

    Brzeźniak, Zdzisław (et al.)

    Pages 45-65

  • Martingale Inequalities and Convergence

    Brzeźniak, Zdzisław (et al.)

    Pages 67-83

  • Markov Chains

    Brzeźniak, Zdzisław (et al.)

    Pages 85-137

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-0533-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-76175-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Basic Stochastic Processes
Book Subtitle
A Course Through Exercises
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
1999
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-0533-6
DOI
10.1007/978-1-4471-0533-6
Softcover ISBN
978-3-540-76175-4
Series ISSN
1615-2085
Edition Number
1
Number of Pages
X, 226
Topics