Modul 41

Literatur

Aufgaben und Lösungen
Module

Drei klassische Probleme der antiken Geometrie - Näherungslösungen in Automatendarstellung - integrierte Steuerungsrechner für die Nanotechnik?
Three geometric problems of antiquity - their approximate solutions in automata representation - integrated control processors for the nanotechnology?

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Literatur
[ 1] L.N.H. Bunt, P.S. Jones, J.D. Bedient. The Historical Roots of Elementary Mathematics. New York 1988. Ch. 4
[ 2] K. Simonyi. Kulturgeschichte der Physik. Jena, Berlin 1990, Abschn. 1.4.4
[ 3] R. Courant, H. Robbins. What is Mathematics. An Elementary Approach to Ideas and Methods. Oxford 1996, §3.3
[ 4] H. Meschkowski. Ungelöste und unlösbare Probleme der Geometrie. Mannheim, Wien, Zürich 1975
[ 5] H. Dörrie. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York 1965
[ 6] T. Rossel. Der Zusammenhang der vier antiken Probleme. Wiesbaden 1960
[ 7] W. Dunham. The Mathematical Universe. New York 1994
[ 8] E.W. Weisstein. CRC Concise Encyclopedia of Mathematics. Boca Raton, London, New York, Washington 1999, 729-733
[ 9] T. Reluga. Wounders of Ancient Greek Mathematics.
http://www.persens.tnfts.edu/GreekScience/Students/Tim/Contents.html
[10] A. Bogomolny. Four Problems of Antiquity.
http://www.cut-the-knot.com/arithmetic/antiquity.html
[11] A. Bogomolny. Constructible Numbers. http://www.cut-the-knot.com/arithmetic/rational.html
[12] W. Breidenbach. Das Delische Problem. Leipzig 1952
[13] D. Gomez Morin. The mediant, the rational mean.
http://forum.swarthmore.edu/epigone/math-history-list/sahsmoukhel
[14] W. Breidenbach. Die Dreiteilung des Winkels. Leipzig 1951
[15] R.C. Yates. The Trisection "Problem. Washington 1971
[16] http://stratus.esam.nwu.edu/~judd/recmath/ksect.html
[17] Angle Trisection.
http://www.seanet.com/~ksbrown/kmath462.htm
[18] E. Beutel. Die Quadratur des Kreises. Leipzig 1951
[19] The Ten Means of Ancient Greece.
http://www.seanet.com/~ksbrown/kmath462.htm
[20] D. Gomez Morin. New Elements for the Irrational Numbers. Journal of Transfigural Mathematics 2(1996)1
[21] E.P. Stoschek. Abenteuer Algorithmus. Teil 3. Dresden 1998, Abschn. 2
[22] A.O. Gelfond. Differenzenrechnung. Berlin 1958
[23] L. Brand. Differential and Difference Equations. New York 1992
[24] H. Levy, F. Lessman. Finite Difference Equations. New York 1996
[25] S.N. Elyadi. An Introduction to Difference Equations. New York 1996
[26] R. Sedgewick, P. Flajolet. An Introduction to the Analysis of Algorithms. Reading, ... 1996
[27] G. Fulford, P. Forrester, A. Jones. Modelling with Differential and Difference Equations. New York 1997
[28] H. Stöcker (Hgb.). Taschenbuch mathematischer Formeln und moderner Verfahren. Thun, Frankfurt am Main 1992, 255
[29] E.P. Stoschek. Abenteuer Algorithmus. Teil 2. Dresden 1998
[30] E. Bach, J. Shallit. Algorithmic Number Theory. Vol. 1: Efficient Algorithms. Cambridge, London 1996, Abschn. 4
[31] K.E. Drexler. Nanosystems: Molecular Machinery, Manufacturing, and Computation. New York 1992
[32] M. Krummenacker, J. Lewis (Eds.). Prospects in Nanotechnology: Towards Molecular Manufacturing. New York 1995
[33] Nanotechnology Bibliography
http://nanotech.rutgers.edu/nanotech/biblio.html
[34] Nanoelectronics Bibliography
http://www.mitre.org/research/nanotech/nanoelect_bib.html
[35] Electronic Nanocomputers
http://www.mitre.org/research/nanotech/electroniclarge.html
[36] S. Schulze-Kremer. Molecular Bioinformatics. Algorithms and Applications. Berlin, New York 1996
[37] The Nanotechnology (Macro) Book Site.
http://www.a-ten.com/z/nanotech.html
[38] B.C. Crandall. Nanotechnology: Molecular Speculations on Global Abundance. Cambridge 1996
[39] G. Timp. Nanotechnology. Berlin, Heidelberg, New York 1999

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