Skip to main content
SpringerLink
Log in

The mathematical basis of probability theory and continuum statistics

  • Chapter
Statistical Continuum Mechanics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 92))

  • 339 Accesses

Abstract

A. Kolmogorov develops the theory of probability starting from a small set of definitions and axioms from which the whole mathematical framework is derived. This is the usual manner in which also other mathematical (and physical) theories are constructed. As an example the group theory maybe mentioned.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • A.N. Kolmogorov, Foundations of the Theory of Probability, Chelsea Publishing Company, New York 1956

    MATH  Google Scholar 

  • Yu.V. Prohorov and Yu.A. Rozanov, Probability Theory, Springer—Verlag, Berlin — Heidelberg — New York 1969

    Book  Google Scholar 

  • D. Morgenstern, Einfiihrung in die Wahrscheinlichkeitsrechnung und mathematische Statistik, Springer — Verlag, Berlin — Heidelberg — New York 1968

    Book  Google Scholar 

  • H. CramĂ©r, Mathematical Methods of Statistics, Princeton Univer- sity Press, Princeton, N.J. 1946

    Google Scholar 

  • M. Loève, Probability Theory, Van Nostrand, Princeton, N.J. 1962

    Google Scholar 

  • B.W. Lindgren and G.W. McElrath, Introduction to Probability and Statistics, Macmillan Company, New York 1959 (elementary textbook)

    Google Scholar 

  • M.J. Beran, Statistical Continuum Theories, Interscience Publish ers, New York 1968

    MATH  Google Scholar 

  • V. Volterra, Theory of Functionals and of Integral and Integro—Differential Equations, Dover, New York 1959

    MATH  Google Scholar 

  • G. Evans, Functionals and Their Applications, Dover, New York 1964

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Stuttgart, Germany

    Ekkehart Kröner

Authors
  1. Ekkehart Kröner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag Wien

About this chapter

Cite this chapter

Kröner, E. (1971). The mathematical basis of probability theory and continuum statistics. In: Statistical Continuum Mechanics. International Centre for Mechanical Sciences, vol 92. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2862-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-2862-6_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81129-0

  • Online ISBN: 978-3-7091-2862-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation