5. Literatur
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[zurück] | 5. Literatur |
[vor] | |
| 1. |
Algebraic Surfaces Wolfram Research, Inc. http://mathworld.wolfram.com/topics/AlgebraicSurfaces.html |
| 2. |
Constant-Curvature Surfaces Wolfram Research, Inc. http://mathworld.wolfram.com/topics/Constant-CurvatureSurfaces.html |
| 3. |
Minimal Surfaces Wolfram Research, Inc. http://mathworld.wolfram.com/topics/MinimalSurfaces.html |
| 4. |
Ruled Surfaces Wolfram Research, Inc. http://mathworld.wolfram.com/topics/RuledSurfaces.html |
| 5. |
Surfaces of Revolution Wolfram Research, Inc. http://mathworld.wolfram.com/topics/SurfacesofRevolution.html |
| 6. |
Miscellaneous Surfaces Wolfram Research, Inc. http://mathworld.wolfram.com/topics/MiscellaneousSurfaces.html |
| 7. |
Tore Nordstrand Surface Gallery http://www.uib.no/People/nfytn/mathgal.htm |
| 8. |
Paul Bourke Surfaces http://astronomy.swin.edu.au/~pbourke/surfaces/ |
| 9. |
Mathematics Museum (Japan) Introduction to Geometry, Ibaraki University, 2002 http://mathmuse.sci.ibaraki.ac.jp/MuseumE.html |
| 10. |
ENCYCLOPÉDIE DES FORMES MATHÉMATIQUES REMARQUABLES Surfaces http://www.mathcurve.com/surfaces/surfaces.shtml |
| 11. |
Harvey Mudd College, Math 142, Differential Geometry Surfaces http://www.math.hmc.edu/~gu/math142/mellon/curves_and_surfaces/all.html |
| 12. |
Stewart Dickson Trefoil Torus Knot http://emsh.calarts.edu/~mathart/sw/GreenSnake/Toroid2.html |
| 13. |
Stewart Dickson Nautilus http://emsh.calarts.edu/~mathart/sw/nautilus/ |
| 14. |
The Mathematics of Triple-Point Twist Surfaces Beyond the Third Dimension http://www.math.brown.edu/~banchoff/art/PAC-9603/tour/triple/triple-math.html |
| 15. |
Umbilic Torus John Abbott College http://www.math.mcgill.ca/rags/jacarc/ring.html |
| 16. |
Der optimale Schwimmring Ingmar Rubin http://www.matheraetsel.de/archiv/Extremwerte/Torus/torus2.pdf |
| 17. |
Helaman Ferguson Sculpture http://www.helasculpt.com/index.html |
| 18. |
Steiner Surfaces by Adam Coffman http://www.ipfw.edu/math/Coffman/steinersurface.html |
| 19. |
Klein Bottle http://www.hongik.ac.kr/~ymkim/space/klein/klein.htm |
| 20. |
National Curve Bank http://curvebank.calstatela.edu/home/home.htm |
| 21. |
Wikipedia List of curves http://en.wikipedia.org/wiki/List_of_curves |
| 22. |
Famous Curves Index http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html |
| 23. |
868 two-dimensional mathematical curves http://www.2dcurves.com/ |
| 24. |
A Visual Dictionary of Special Plane Curves http://www.xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html |
| 25. |
Harvey Mudd College Curves and Surfaces http://www.math.hmc.edu/~gu/math142/mellon/curves_and_surfaces/ |
| 26. |
General Plane Curves Wolfram Research, Inc. http://mathworld.wolfram.com/topics/GeneralPlaneCurves.html |
| 27. |
Polar Curves Wolfram Research, Inc. http://mathworld.wolfram.com/topics/PolarCurves.html |
| 28. |
Algebraic Curves Wolfram Research, Inc. http://mathworld.wolfram.com/topics/AlgebraicCurves.html |
| 29. |
Some Standard Parametric Surfaces by Bruce Pucket http://krypton.fhda.edu/~bpuckett/gallery/parametric/StdParamSurfs.pdf |
| 30. |
A Gallery of Famous Surfaces Xah Lee Web http://xahlee.org/surface/gallery_o.html |
| 31. |
DEFINITION DE LA N-BOUTEILLE DE JEENER-KLEIN Jean-Francois COLONNA http://www.lactamme.polytechnique.fr/Mosaic/descripteurs/Commentaires_NKleinBottle.01.html |
| 32. |
DEFINITION DE LA N-BOUTEILLE DE BONAN-JEENER-KLEIN Jean-Francois COLONNA http://www.lactamme.polytechnique.fr/Mosaic/descripteurs/Commentaires_NKleinBottle.02.html |
| 33. |
Fifty Famous Curves Stephen Kokoska http://facstaff.bloomu.edu/skokoska/curves.pdf |
| 34. |
Ebene Kurven Prof. Reckziegel http://www.mi.uni-koeln.de/mi/Forschung/Reckziegel/Skripte/index.html |
| 35. |
Spiralen Mathematische Basteleien http://www.mathematische-basteleien.de/spirale.htm |
| 36. |
Mathematical Imagery Jos Leys http://www.josleys.com/show_gallery.php?galid=274 |
| 37. |
Sphere-Sphere Intersection Wolfram Research, Inc. http://mathworld.wolfram.com/Sphere-SphereIntersection.html |
| 38. |
Encyclopedia of Analytical Surfaces S.N. Krivoshapko, V.N. Ivanov www.springer.com |
| 39. |
Bour's Minimal Surface Wolfram Research, Inc. https://mathworld.wolfram.com/BoursMinimalSurface.html |
| 40. |
Bour's Minimal Surface Wikipedia https://en.wikipedia.org/wiki/Bour%27s_minimal_surface |
| 41. |
Neovius Surface Wikipedia https://en.wikipedia.org/wiki/Neovius_surface |
| 42. |
Characterizing singularities of a surface in Lie spheregeometry Mason Pember, Wayne Rossman, Kentaro Saji and Keisuke Teramoto https://arxiv.org/pdf/1703.04257.pdf |
| 43. |
Mathworks https://de.mathworks.com/help/symbolic/ezsurf.html |
| 44. |
Mathematica Experiment / Venus Caelestis Tanaka Juuyoh https://www.flickr.com/photos/tanaka_juuyoh/albums/72157624651394950/ |
| 45. |
Cross Cup Wolfram Research, Inc. https://mathworld.wolfram.com/Cross-Cap.html |
| 46. |
Roman Surface Wolfram Research, Inc. https://mathworld.wolfram.com/RomanSurface.html |
| 47. |
Ding-Dong Surface Wolfram Research, Inc. https://mathworld.wolfram.com/Ding-DongSurface.html |
| 48. |
Kiss Surface Wolfram Research, Inc. https://mathworld.wolfram.com/KissSurface.html |
| 49. |
Handbuch der Mathematik Gellert, W., H. Küstner und M. Hellwich Buch und Zeit Verlagsges. M.B.H. Köln |
| 50. |
Conversion Methods Between Parametric and Implicit Curves and Surfaces Christoph M. Hoffmann, Purdue University https://graphics.stanford.edu/courses/cs348a-17-winter/Handouts/a228715.pdf |
| 51. |
Minimal Surfaces Michael Dorff,Jim Rolf https://math.byu.edu/~mdorff/docs/PaperBookMinSurfChapter.pdf |
| 52. |
MinimalSurfaces Alex Verzea http://www.math.mcgill.ca/gantumur/math580f12/minimal_surfaces.pdf |
| 53. |
Classical Algebraic Geometry: a modern view IGOR V. DOLGACHEV http://www.math.lsa.umich.edu/~idolga/CAG.pdf |
| 54. |
Gabriels Horn Wikipedia https://de.wikipedia.org/wiki/Gabriels_Horn |
| 55. |
Gabriels Horn Thomas Peters http://www.mathe-seiten.de/gabriel.pdf |
| 56. |
Parameterflächen Bernd Frassek https://www.frassek.org/3d-mathe/3d-fl%C3%A4chen/parameterfl%C3%A4chen/ |
| 57. |
Differentialgeometrie von Kurven und Flächen Prof. Dr. Alexander Bobenko https://page.math.tu-berlin.de/~bobenko/Lehre/Skripte/KuF.pdf |
| 58. |
Kurven und Flächen Gerhard Knieper, Ruhr-Universität Bochum, Fakultät für Mathematik https://www.ruhr-uni-bochum.de/imperia/md/content/mathematik/lehrstuhlx/kuf.pdf |
| 59. |
Geometrische Eigenschaften von Kurven Nora Rebecca Thomas https://www.glk.uni-mainz.de/files/2018/08/abschlussarbeit_08_thomas_2010.pdf |
| 60. |
Parametrisierung rationaler Kurven Janko Böhm, Institut für Mathematik und Physik der Universität Bayreuth https://www.mathematik.uni-kl.de/~boehm/diplom%20janko%20boehm.pdf |
| 61. |
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics S. Fujimori, Y. W. Kim, S.-E. Koh, W. Rossman, H. Shin, M. Umehara,K. Yamada and S.-D. Yang https://www.researchgate.net/publication/256477334_Zero_mean_curvature_surfaces_in_Lorentz-Minkowski_3-space_and_2-dimensional_fluid_mechanics |
| 62. |
Bour’s spacelike maximal and timelike minimal surfaces inthe 3-dimensional Minkowski space Erhan Güler https://www.researchgate.net/publication/260295012_Bour's_spacelike_maximal_and_timelike_minimal_surfaces_in_the_3-dimensional_Minkowski_space |
| 63. |
Differential Geometric Aspects of Discrete and Semi-discrete surfaces Thesis or Dissertation |
| 64. |
Mathematica Experiment / Venus Caele Tanaka Juuyoh https://www.flickr.com/photos/tanaka_juuyoh/albums/72157624651394950 |
| 65. |
Boysche Fläche Wikipedia https://de.wikipedia.org/wiki/Boysche_Fl%C3%A4che |
| 66. |
Boy Surface Wolfram Research, Inc. https://mathworld.wolfram.com/BoySurface.html |
| 67. |
Boy Surface Mathcurve https://mathcurve.com/surfaces.gb/boy/boy.shtml |
| 68. |
Klein Bottle Wolfram Research, Inc. https://mathworld.wolfram.com/KleinBottle.html |
| 69. |
The Klein bottle in its classical shape:a further step towards a good parametrization Gregorio Franzoni https://arxiv.org/pdf/0909.5354.pdf |
| 70. |
axiom: The Scientific Computation System Richard D. Jenks, Robert S. Sutor https://books.google.de/ |
| 71. |
The Klein Bottle: Variations on a Theme Gregorio Franzioni https://www.ams.org/journals/notices/201208/rtx120801076p.pdf |
| 72. |
Stereoscopic Lawson Klein Bottle Thijs https://www.geogebra.org/m/XzSAYB9D |
| 73. |
MORIN'S SURFACE Mathcurve https://mathcurve.com/surfaces.gb/morin/morin.shtml |
| 74. |
Möbius-Band Mathcurve https://mathcurve.com/surfaces/mobius/mobius.shtml |
| 75. |
CARTAN'S UMBRELLA Mathcurve https://mathcurve.com/surfaces.gb/cartan/cartan.shtml |
| 76. |
Catalansche Minimalfläche Mathcurve https://mathcurve.com/surfaces/minimale/minimale-catalan.shtml |
| 77. |
On algebraic minimal surfaces Boris Odehnal http://sodwana.uni-ak.ac.at/geom/mitarbeiter/odehnal/publ/min-alg.pdf |
| 78. |
HECTOR GUIMARD'S SURFACE Mathcurve https://mathcurve.com/surfaces.gb/guimard/guimard.shtml |
| 79. |
Scherk Surface Wikipedia https://en.wikipedia.org/wiki/Scherk_surface |
| 80. |
A survey on classical minimal surface theory William H. Meeks III, Joaquin Perez https://www.researchgate.net/publication/228397563_A_survey_on_classical_minimal_surface_theory |
| 81. |
Deformation and construction of minimal surfaces Antoine Coutant https://tel.archives-ouvertes.fr/tel-00802379/document |
| 82. |
Exact computation of the triply periodic Schwarz P minimal surface Paul J.F. Gandy, Jacek Klinowski https://mathcurve.com/surfaces.gb/schwarz/sdarticle.pdf |
| 83. |
COMPUTATION OF MINIMAL SURFACES H. Terrones https://hal.archives-ouvertes.fr/jpa-00231134/document |
| 84. |
Exact computation of the triply periodic G ‘Gyroid’ minimal surface Paul J.F. Gandy, Jacek Klinowski https://mathcurve.com/surfaces.gb/Gyroide/sdarticle%20gyroid.pdf |
| 85. |
DEFORMATIONS OF THE GYROID AND LIDINOID MINIMAL SURFACES ADAM G. WEYHAUPT http://www.siue.edu/~aweyhau/research/papers/gyroid.pdf |
| 86. |
Simple 3-D Visualization of Some Common Mathematical Minimal Surfaces using MATLAB Nasiha Muna, Albert E. Patterson https://www.ideals.illinois.edu/bitstream/handle/2142/101899/Muna_Patterson_Minimal_Surfaces_Matlab_TechRep_V1.pdf?sequence=2&isAllowed=y |
| 87. |
SCHERK SURFACES Mathcurve https://mathcurve.com/surfaces.gb/scherk/scherk.shtml |
| 88. |
Mathematical Documentation of the objects realized in the visualization program 3D-XplorMath Hermann Karcher http://scanner.math.uni-bonn.de/people/karcher/ATO_URL_Collection.pdf |
| 89. |
Exploring Visualization Methods for Complex Variables Andrew J. Hanson, and Ji-Ping Sha https://www.researchgate.net/publication/221024646_Exploring_Visualization_Methods_for_Complex_Variables |
| 90. |
Classical Algebraic Geometry: a modernview IGOR V. DOLGACHEV http://www.math.lsa.umich.edu/~idolga/CAG.pdf |
| 91. |
Lecture Notes on Minimal Surfaces and Plateau’s Problem Thomas Schmidt https://www.math.uni-hamburg.de/home/schmidt/lectures/plateau.pdf |
| 92. |
CHAPTER 3: MINIMAL SURFACES DANNY CALEGARI https://math.uchicago.edu/~dannyc/courses/minimal_surfaces_2014/minimal_surfaces_notes.pdf |
| 93. |
Representation and Rendering of Implicit Surfaces Dissertation Christian Sigg https://cgl.ethz.ch/Downloads/Publications/Dissertations/Sig06.pdf |
| 94. |
Implicit representation of parametric curves and surfaces T. W. SEDERBERG AND D.C. ANDERSON https://www.researchgate.net/publication/220632467_Implicit_representation_of_parametric_curves_and_surfaces |
| 95. |
Chapter 12 Implicit and ParametricSurfaces Donald H. House https://people.cs.clemson.edu/~dhouse/courses/405/notes/implicit-parametric.pdf |
| 96. |
Geometry and Algorithms for COMPUTER AIDED DESIGN Erich Hartmann https://www2.mathematik.tu-darmstadt.de/~ehartmann/cdgen0104.pdf |
| 97. |
Curves and Surfaces: Lecture Notes for Geometry 1 Henrik Schlichtkrull http://web.math.ku.dk/noter/filer/geom1.pdf |
| 98. |
Implizite Flächen Eldar Sultanow https://www.hs-augsburg.de/~bauer/konstruktionsmethodik/doc/implizite%20flaechen.pdf |
| 99. |
Lecture Notes on Minimal Surfaces Emma Carberry, Kai Fung, David Glasser, Michael Nagle, Nizam Ordulu https://ocw.mit.edu/courses/mathematics/18-994-seminar-in-geometry-fall-2004/lecture-notes/main.pdf |
| 100. |
Sage Reference Manual: 3D Graphics The Sage Development Team http://doc.sagemath.org/pdf/en/reference/plot3d/plot3d.pdf |
| 101. |
Minimal Surfaces as Isotropic Curves in C3: Associated minimal surfaces and the Björling's problem Kai-Wing Fung https://ocw.mit.edu/courses/mathematics/18-994-seminar-in-geometry-fall-2004/projects/main1.pdf |
| 102. |
Parametrische Funktionen Max-Planck-Institut für Sonnensystemforschung https://www.mps.mpg.de/1774272/gallery_para2 |
| 103. |
Mathworks https://de.mathworks.com/help/matlab/ref/fsurf.html |
| 104. |
Parametric Surfaces Rodrigo Platte https://math.la.asu.edu/~platte/pub/cheb2/html/ParSurf.html |
| 105. |
Schwarz minimal surface Wikipedia https://en.wikipedia.org/wiki/Schwarz_minimal_surface |
| 106. |
Richmond surface Wikipedia https://en.wikipedia.org/wiki/Richmond_surface |
| 107. |
Loop Group Methods for Constant Mean Curvature Surfaces Shoichi Fujimori, Shimpei Kobayashi, Wayne Rossman https://www.researchgate.net/publication/2126146_Loop_Group_Methods_for_Constant_Mean_Curvature_Surfaces |
| 108. |
Classical Minimal Surfaces in Euclidean Space by Examples Matthias Weber https://minimal.sitehost.iu.edu/research/claynotes.pdf |
| 109. |
ON SURFACES THAT ARE INTRINSICALLY SURFACES OF REVOLUTION DANIEL FREESE AND MATTHIAS WEBER https://arxiv.org/pdf/1607.08503.pdf |
| 110. |
Raumkurven Mathematikalpha https://mathematikalpha.de/wp-content/uploads/2017/01/19-Raumkurven.pdf |
| 111. |
Nanostructures and coherent spatial structures for adsorbing chemicals (e.g. hydrogen in fuel cells) has all of its surfaces adapted for adsorption DE102004046109A1 https://patents.google.com/patent/DE102004046109A1/en |
| 112. |
Chapter 20: Basics of the Differential Geometry of Surfaces https://www.cis.upenn.edu/~cis610/gma-v2-chap20.pdf |
| 113. |
Fundamentals of Linear Algebra and Optimization Jean Gallier and Jocelyn Quaintance https://www.cis.upenn.edu/~cis515/linalg.pdf |
| 114. |
Construction of Minimal Surfaces. H. Karcher (Bonn) http://www.math.uni-bonn.de/people/karcher/karcherTokyo.pdf |
| 115. |
Deformation of minimal surfaces with planar curvature lines JOSEPH CHO AND YUTA OGATA https://arxiv.org/abs/1606.01625 |
| 116. |
THE CLASSICAL THEORY OF MINIMAL SURFACES WILLIAM H. MEEKS III AND JOAQUIN PEEREZ https://www.ams.org/journals/bull/2011-48-03/S0273-0979-2011-01334-9/S0273-0979-2011-01334-9.pdf |
| 117. |
Soap Films, Differential Geometry, and Minimal Surfaces Michael J. Dorff (text), James S. Rolf (applets) https://www.researchgate.net/publication/306268624_Soap_Films_Differential_Geometry_and_Minimal_Surfaces |
| 118. |
Exploring Complex Analysis Michael Brilleslyper, Michael Dorff, Jane McDougall, James Rolf, Beth Schaubroeck, Rich Stankewitz, Kenneth Stephenson http://www.jimrolf.com/explorationsInComplexVariables.html |
| 119. |
On the Weierstrass-Enneper Representation of Minimal Surfaces Albin Ingelström http://www.matematik.lu.se/matematiklu/personal/sigma/students/Albin-Ingelstrom-BSc.pdf |
| 120. |
Table of Surfaces Mathematical Sciences Research Institute https://www.msri.org/publications/sgp/jim/papers/morphbysymmetry/table/main.html |
| 121. |
Lecture Notes on Minimal Surfaces Michael Dorff http://www.jimrolf.com/complexGrant/ChapterMinSurfaces.pdf |
| 122. |
The Weierstrass Representation always gives a minimal surface Roshan Sharma https://arxiv.org/pdf/1208.5689.pdf |
| 123. |
Math 501 - Differential Geometry: 2. SURFACES Professor Gluck https://www.math.upenn.edu/~shiydong/Math501X-2-Surfaces.pdf |
| 124. |
Complete minimal surfaces in R3 Francisco J. Lopez http://www.ugr.es/~fmartin/dvi/survey.pdf |
| 125. |
The Nature of Mathematics and the Mathematics of Nature S. Andersson, M. Jacob https://books.google.de/books?id=1eLRKrvcJe8C&printsec=frontcover&hl=de#v=onepage&q&f=false |
| 126. |
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| 127. |
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