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Springer Textbook

Probability Theory

An Introductory Course

Authors: Sinai, Yakov G

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  • ISBN 978-3-662-02845-2
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About this Textbook

Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-662-02845-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Probability Theory
Book Subtitle
An Introductory Course
Authors
Translated by
Haughton, D.
Series Title
Springer Textbook
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-02845-2
DOI
10.1007/978-3-662-02845-2
Series ISSN
1431-8512
Edition Number
1
Number of Pages
VIII, 140
Number of Illustrations
2 b/w illustrations
Additional Information
Original Russian edition published by Publisher MGU, 1985
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