swMATH ID: 7308
Software Authors: Alfred Gray, Rolf Sulanke
Description: Originally the software consisted of 17 Mathematica Packages written by Alfred Gray (1939 - 1998) in connection with his book ”Modern Differential Geometry of Curves and Surfaces” and collected in a directory named CandS. These packages are written in Mathematica version 2.2 or 3.0. Clearly, to be used today, they need an adaption to Mathematica version 9.0. For the four most important of Gray‘s packages this adaption has been done by Rolf Sulanke. Thus now, with the software CandS, we have more than 200 functions (or ”miniprograms”), applicable to calculate the basic Euclidean differential invariants of curves and surfaces and to present these graphically. A catalog of 200 parameter presentations of curves, and a catalog of 200 parameter representations of surfaces collected by Alfred Gray complete the software as a useful tool for Mathematica users in education and engineering. Examples of applications of the miniprograms are given in the notebook CandS-1.nb of Rolf Sulanke which can be used as a starting point for working in Euclidean differential geometry with Mathematica. This notebook, the adapted and Gray‘s not adapted packages are packed into the zip-file gray1.zip which can be downloaded from the URL of the software, where also a detailed description of the software can be seen.
Homepage: http://www-irm.mathematik.hu-berlin.de/~sulanke/diffgeo.html#Gray
Programming Languages: Mathematica
Dependencies: Mathematica
Keywords: Curves; Arclength; Curvature; Torsion; Surfaces; Fundamental forms; Gaussian curvature; Mean curvature; Graphics
Related Software: Mathematica; DLMF; Maple; hlib; ShNAPr; CouDALFISh; tIGAr; Bembel; Triangle; Eigen; FGb; PyTransport; SIFT; ASIFT; QuadCover; heapq; CADfix; DYNA3D; Python; Mesquite
Cited in: 116 Publications
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Cited by 184 Authors

13 Takahashi, Masatomo
5 Fukunaga, Tomonori
4 Goemans, Wendy
4 Munteanu, Marian-Ioan
3 Güler, Erhan
3 Karacan, Murat Kemal
3 Mladenov, Ivaĭlo M.
3 Nistor, Ana Irina
3 Olver, Peter John
3 Ünlütürk, Yasin
3 Yu, Haiou
2 Abdel-Baky, Rashad A.
2 Dede, Mustafa
2 Dölz, Jürgen
2 Düldül, Bahar Uyar
2 Georgiev, Georgi Hristov
2 Ginoux, Jean-Marc
2 Honda, Shun’ichi
2 Karakuş, Fatma
2 López Camino, Rafael
2 Pei, Donghe
2 Pulov, Vladimir I.
2 Toda, Magdalena
2 van de Woestyne, Ignace
2 Yayli, Yusuf
2 Yuksel, Nural
1 Abbena, Elsa
1 Abd-Ellah, Hamdy N.
1 Alcazar, Juan Gerardo
1 Armas, Jay
1 Armstrong, Cecil G.
1 Ateş, Osman
1 Athukorallage, Bhagya
1 Aydin, Muhittin Evren
1 Azado, P. C.
1 Băbălîc, Elena-Mirela
1 Barros, Manuel
1 Bary, M.
1 Bayard, Pierre
1 Behzadan, Ali
1 Bestuzheva, Ksenia
1 Blanchette, Francois
1 Blau, Matthias
1 Bohr, Jakob
1 Bukcu, Bahaddin
1 Burkhart, Harold M.
1 Burton, David A.
1 Cadeddu, Lucio
1 Cannas, Sonia
1 Cariow, Aleksandr
1 Cariowa, Galina
1 Chatterji, Samaresh
1 Chen, Chao
1 Chu, Jay
1 Crisp, Caroline E.
1 Cui, Xiupeng
1 Dalla Via, Marco
1 Di Scala, Antonio Jose
1 Djondjorov, Peter A.
1 Drăgănescu, Gheorghe
1 Düldül, Mustfa
1 Dyedov, Vladimir
1 Einstein, Daniel R.
1 Ekici, Cumali
1 Erdogmus, Deniz
1 Ergut, Mahmut
1 Ersoy, Soley
1 Fassò, Francesco
1 Ferrández, Angel
1 Fogg, Harold J.
1 Fraser, Donald A. S.
1 Fukuda, Ryo
1 Gabrielides, Nikolaos C.
1 Ganchev, Georgi T.
1 Gemmer, John A.
1 Ghomi, Mohammad
1 Gielis, Johan
1 Gray, Alfred
1 Gruber, Anthony
1 Guven, Jemal
1 Hadzhilazova, Mariana Ts.
1 Harbrecht, Helmut
1 Hasanis, Thomas
1 Hijazi, Hassan
1 Holst, Michael J.
1 Hoveijn, Igor
1 Hsu, Ming-Chen
1 Hsu, Shih-Hsuan
1 Iwayama, Takahiro
1 Jiao, Xiangmin
1 Johnson, Emily L.
1 Kadianakis, Nikos D.
1 Kassabov, Ognian T.
1 Kauffman, Louis Hirsch
1 Kaya, Seher
1 Khadzhiev, Dzhavvat
1 Kholodenko, Arkady L.
1 Kimmel, Ron
1 Kirillov, Oleg N.
1 Kisi, İlim
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Cited in 87 Serials

4 Journal of Mathematical Analysis and Applications
3 Journal of Geometry
3 Computer Aided Geometric Design
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Physics A: Mathematical and Theoretical
3 International Electronic Journal of Geometry
2 Journal of Computational Physics
2 Results in Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Mathematical Sciences (New York)
2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Mathematics
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 General Relativity and Gravitation
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Commentarii Mathematici Helvetici
1 Demonstratio Mathematica
1 Geometriae Dedicata
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Number Theory
1 Journal of Statistical Planning and Inference
1 Manuscripta Mathematica
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Physica D
1 Facta Universitatis. Series Mathematics and Informatics
1 International Journal of Mathematics
1 Signal Processing
1 Computational Geometry
1 Journal of Global Optimization
1 Annals of Physics
1 Applied Mathematical Modelling
1 Journal of Elasticity
1 Journal of Mathematical Imaging and Vision
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 SIAM Journal on Scientific Computing
1 International Journal of Computer Vision
1 Kyushu Journal of Mathematics
1 Journal of the Egyptian Mathematical Society
1 Filomat
1 Journal of Lie Theory
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Mathematical Communications
1 Nonlinear Dynamics
1 Mechanism and Machine Theory
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Journal of High Energy Physics
1 Journal of Nonlinear Mathematical Physics
1 Advances in Geometry
1 Mathematical Geology
1 Applied Mathematics E-Notes
1 International Journal of Pure and Applied Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Journal of the Indonesian Mathematical Society
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 World Scientific Series on Nonlinear Science. Series A
1 Advances in High Energy Physics
1 Journal of Nonlinear Science and Applications
1 Advances in Mathematical Physics
1 Journal of Singularities
1 Surveys in Mathematics and Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Lettera Matematica. International Edition
1 JSIAM Letters
1 SIAM/ASA Journal on Uncertainty Quantification
1 Geometric Flows
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Korean Journal of Mathematics

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