Probability theory : an introductory course

Bibliographic Information

Probability theory : an introductory course

Yakov G. Sinai ; translated from the Russian by D. Haughton

(Springer textbook)

Springer-Verlag, c1992

  • : gw
  • : us

Other Title

Kurs teorii veroyatnostej

Курс теории вероятностей

Kurs teorii veroi︠a︡tnosteĭ

Available at  / 72 libraries

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Note

"Title of the Russian original edition (in two parts) : Kurs teorii veroyatnostej, Publisher MGU, 1985 and 1986"--T.p. verso

Description and Table of Contents

Volume

: us ISBN 9780387533483

Description

Leads the student through the standard material for probability theory, with stops along the way for interesting topics such as statistical mechanics, not usually covered in a book for beginners. Covers independent identical trials and the law of large numbers, De Moivre-Laplace and Poisson limit th
Volume

: gw ISBN 9783540533481

Description

Sinai's book leads the student through the standard materialfor ProbabilityTheory, with stops along the way forinteresting topics such as statistical mechanics, notusually included in a book for beginners.The first part of the book covers discrete random variables,using the same approach, basedon Kolmogorov's axioms forprobability, used later for the general case.The text is divided into sixteen lectures, each covering amajor topic. The introductory notions and classical resultsare included, of course: random variables, the central limittheorem, 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, lesscommon topics found in the book are: percolation, theconcept of stability in the central limit theorem and thestudy of probability of large deviations.Little more than a standard undergraduate course in analysisis assumed of the reader. Notions from measure theory andLebesgue integration are introduced in the second half ofthe text.The book is suitable for second or third year students inmathematics, physics or other natural sciences. It couldalso be usedby more advanced readers who want to learn themathematics of probability theory and some of itsapplications in statistical physics.

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Details

  • NCID
    BA18592730
  • ISBN
    • 3540533486
    • 0387533486
  • LCCN
    92018006
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Berlin ; Heidelberg ; New York
  • Pages/Volumes
    138 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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