Universal natural shapes
Pokroky matematiky, fyziky a astronomie (2007)
- Volume: 52, Issue: 2, page 142-151
- ISSN: 0032-2423
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topVerstraelen, Leopold C. A.. "Univerzální přírodní tvary." Pokroky matematiky, fyziky a astronomie 52.2 (2007): 142-151. <http://eudml.org/doc/196482>.
@article{Verstraelen2007,
author = {Verstraelen, Leopold C. A.},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {geometry; curve; surface; geometry; curve; surface},
language = {cze},
number = {2},
pages = {142-151},
publisher = {Jednota českých matematiků a fyziků},
title = {Univerzální přírodní tvary},
url = {http://eudml.org/doc/196482},
volume = {52},
year = {2007},
}
TY - JOUR
AU - Verstraelen, Leopold C. A.
TI - Univerzální přírodní tvary
JO - Pokroky matematiky, fyziky a astronomie
PY - 2007
PB - Jednota českých matematiků a fyziků
VL - 52
IS - 2
SP - 142
EP - 151
LA - cze
KW - geometry; curve; surface; geometry; curve; surface
UR - http://eudml.org/doc/196482
ER -
References
top- Verstraelen, L., The geometry of eye and brain, Soochow Journal of Mathematics 30 (2004) (volume in honour of Professor Bang-Yen Chen), 367–376. (2004) Zbl1131.92303MR2093862
- Coolidge, J. L., A history of geometrical methods, Dover Publ., London (1963). (1963) Zbl0113.00103MR0160143
- Bronowski, J., The ascent of man, Litte, Brown & Co, Boston 1973. (1973)
- Lejeune, A., Euclide et Ptolémée, deux stades de l’optique géométrique grecque, Université de Louvain, Bureau du “Recueil” (1948). (1948) Zbl0039.24102MR0028212
- Montel, P., Encyclopédie française, Tome 1, Larousse, Paris 1937. (1937)
- Dillen, F., Verstraelen, L., Handbook of differential geometry, North-Holland, Amsterdam, Vol. 1 (2000) and Vol. 2 (2005). (2000) Zbl1069.00010MR1736851
- Chern, S. S., Chen, W. H., Laser, K. S., Lectures on differential geometry, World Scientific, Singapore 1999. (1999) MR1735502
- Kühnel, W., Differential geometry: curves-surfaces-manifolds, AMS-Student Math. Library, vol. 16 (2002). (2002) Zbl1009.53002MR1882174
- Penrose, R., The geometry of the universe, In Mathematics Today (ed. Steen, L. A.), Vintage Books, New York 1980. (1980) Zbl0425.53033MR0599181
- Penrose, R., The emperor’s new mind, concerning computers, minds and the laws of physics, Oxford University Press, Oxford 1989. (1989) Zbl0749.00009MR1048125
- Browder, F. E., Mac Lane, S., The relevance of mathematics, In Mathematics Today (ed. Steen, L. A.), Vintage Books, New York 1980. (1980)
- Hilbert, D., Mathematical problems (1900 – Paris – Lecture), AMS-Proceedings of Symposia in Pure Mathematics, Vol. 28 (1976). (1976)
- d’Arcy Thompson, W., On growth and form, Cambridge University Press, Cambridge 1917. (1917) MR0128562
- Lamé, G., Examen des différentes méthodes employées pour résoudre les problèmes de géométrie, Hermann, Paris 1818. (1818) Zbl34.0617.01
- Thompson, A. C., Minkowski geometry, Encyclopedia of mathematics and its applications, Vol. 63, Cambridge University Press, Cambridge 1996. (1996) Zbl0868.52001MR1406315
- Chen, B.-Y., What can we do with Nash’s embedding theorem?, Soochow Journal of Mathematics 30 (2004), 303–338. (2004) Zbl1077.53044MR2093858
- Chen, B.-Y., Riemannian submanifolds, In [6, Vol. 1]. Zbl1079.53077
- Hildebrandt, S., Tromba, A., Panoptimum, Spektrum, Heidelberg 1986. (1986) MR1040828
- Willmore, T. J., A survey on Willmore immersions, In Geometry and Topology of submanifolds, Vol. IV, (eds. Dillen, F., Verstraelen, L.), World Scientific, Singapore 1992. (1992) Zbl0841.53051MR1185712
- Chen, B.-Y., Total mean curvature and submanifolds of finite type, World Scientific, Singapore 1984. (1984) Zbl0537.53049MR0749575
- Barros, M., 10.1016/S0550-3213(98)00601-4, Nuclear Physics B 535 (1998), 531–551. (1998) Zbl1041.83512MR1666496DOI10.1016/S0550-3213(98)00601-4
- Barros, M., 10.1088/0264-9381/17/9/308, Class. Quantum Grav. 17 (2000), 1979–1988. (2000) Zbl0967.83031MR1764006DOI10.1088/0264-9381/17/9/308
- Gielis, J., Haesen, S., Verstraelen, L., Universal natural shapes; from the supereggs of Piet Hein to the cosmic egg of Georges Lemaître, Kragujevac Journal of Mathematics 28 (2005), 57–68. (2005) MR2211243
- Gielis, J., 10.3732/ajb.90.3.333, American Journal of Botamy 90 (2003), 333–338. (2003) DOI10.3732/ajb.90.3.333
- Gielis, J., Inventing the circle, Geniaal Press, Antwerpen (2003). (2003)
- Gielis, J., Gerats, T., A botanical perspective on plant shape modeling, Proc. International Conference on Computing, Communications and Control Technologies, Vol. VI (2004), 265–272. (2004)
- Gielis, J., Wiskundige supervormen bij bamboes, Newsletter Belgian Bamboo Society 13 (1996), 20–26. (1996)
- Gielis, J., Beirinckx, B., Bastiaens, E., Superquadrics with rational and irrational symmetries, Proc. 8th ACM symposium on Solid Modeling and Applications (2003), 262–265. (2003)
- Gielis, J., Variational superformula curves for 2D- and 3D graphic arts, Proc. World Multi-Conference on Systemics, Cybernetics and Informatics, Vol. V: Computer Science and Engineering (2004), 119–124. (2004)
- Haesen, S., Sebeković, A., Verstraelen, L., Relations between intrinsic and extrinsic curvatures, Kragujevac J. Math. 25 (2003), 139–145. (2003) Zbl1274.53024MR2120586
- Dillen, F., Haesen, S., Petrović-Torgasev, M., Verstraelen, L., 10.1016/j.geomphys.2004.02.003, J. Geom. Phys. 52 (2004), 101–112. (2004) Zbl1083.53062MR2088970DOI10.1016/j.geomphys.2004.02.003
- Haesen, S., Verstraelen, L., 10.1063/1.1668333, J. Math. Phys. 45 (2004), 1497–1510. (2004) Zbl1068.53053MR2043839DOI10.1063/1.1668333
- Lemaître, G., Un univers homogène de masse constante et de rayon croissant, rendant compte de la vitesse radiale des nébuleuses extra-galactique, Annales Soc. Sc. Bruxelles 47 (1927), 49–59. (1927) Zbl53.0902.06
- O’Neill, B., Semi-Riemannian geometry, with applications to relativity, Acad. Press, New York 1983. (1983) MR0719023
- Helmholtz, H. von, Ueber die Tatsachen welche der Geometrie zu Grunde liegen, In Abhandlungen zur Philosophie und Geometrie, Junghaus, Cuxhausen 1987. (1987)
- Riemann, B., Ueber die Hypothesen welche der Geometrie zu Grunde liegen, In Gaussche Flächentheorie, Riemannsche Räume und Minkowski-Welt, Teubner, Leipzig 1984. (1984) Zbl47.0770.01
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