Abstract
All over the world numerous computers are used for real number computation. They evaluate real functions, find zeroes of functions, determine eigenvalues and integrals and solve differential equations. They perform, or at least are expected to perform, computations on sets like ℝ (the set of real numbers), ℝn, O(ℝ) (the open subsets of real numbers), K(ℝn) (the compact subsets of ℝn) or C[O; 1] (the continuous functions from the real unit interval to the real numbers). The increasing demand for reliable as well as fast software in scientific computation and engineering requires a sound and broad foundation. We agree with L. Blum et al. [BCSS96] (also in [BCSS98], however, see Sect. 9.7):
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Weihrauch, K. (2000). Introduction. In: Computable Analysis. Texts in Theoretical Computer Science. An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56999-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-56999-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66817-6
Online ISBN: 978-3-642-56999-9
eBook Packages: Springer Book Archive