FOM: Constructive analysis
Vasco Brattka
Vasco.Brattka at FernUni-Hagen.de
Mon Sep 2 04:52:58 EDT 2002
> I'm looking to pull together a seminar in constructive analysis. I
> have books by Goodstein (Recursive Analysis, Textbook in Math
> Analysis), Bishop and Bishop & Bridges, and Lorenzen (Differential and
> Integral ... ).
>
> Does anyone have other text suggestion? Does anyone have any
> suggestions on topics, etc?
>
> steve
>
>
In case that computable analysis should be in the scope of
your seminar as well, the following textbooks on the subject
could be of interest:
- Ker-I Ko. Complexity Theory of Real Functions.
Progress in Theoretical Computer Science. Birkhäuser, Boston, 1991.
- Marian B. Pour-El and J. Ian Richards.
Computability in Analysis and Physics.
Perspectives in Mathematical Logic. Springer, Berlin, 1989.
- Klaus Weihrauch. Computable Analysis.
Texts in Theoretical Computer Science. Springer, Berlin, 2000.
A standard reference on Russian constructive analysis is
- Boris Abramovich Kusner.
Lectures on Constructive Mathematical Analysis (Russian).
Izdat. Nauka, 1973. translated: by Mendelson, E., and edited by Leifman,
L.J., Transl. Math. Monographs, 60 (1984).
A large bibliography on computable and constructive can be found
on the following webpage:
http://www.informatik.fernuni-hagen.de/cca/publications/bibliography.html
Vasco
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Vasco Brattka
FernUniversitaet Phone: +49-2331-987-2723
Theoretische Informatik I Fax: +49-2331-987-319
Informatikzentrum WWW: www.informatik.fernuni-hagen.de/thi1/
D-58084 HAGEN vasco.brattka
Germany E-Mail: Vasco.Brattka at FernUni-Hagen.de
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