Skip to main content

Preliminaries

  • Chapter
  • First Online:
Stochastic Tools in Mathematics and Science

Part of the book series: Surveys and Tutorials in the Applied Mathematical Sciences ((STAMS,volume 1))

  • 1879 Accesses

Abstract

Let V be a vector space with vectors u; v; w; … and scalars α; β; ….The space V is an inner product space if one has defined a function(·; ·) from V × V to the reals (if the vector space is real) or to the complex (if V is complex) such that for all u; v Є V and all scalars α.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Bibliography

  1. H. Dym and H. McKean, Fourier Series and Integrals, Academic Press, New York, 1972.

    Google Scholar 

  2. G. Golub and F. Van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1983.

    Google Scholar 

  3. A. Kolmogorov and S. Fomin, Elements of the Theory of Functions and Real Analysis, Dover, New York, 2000.

    Google Scholar 

  4. P. Lax, Linear Algebra, Wiley, New York, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexandre J. Chorin .

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag New York

About this chapter

Cite this chapter

Chorin, A.J., Hald, O.H. (2009). Preliminaries. In: Stochastic Tools in Mathematics and Science. Surveys and Tutorials in the Applied Mathematical Sciences, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1002-8_1

Download citation

Publish with us

Policies and ethics