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picture1_Geometry Pdf 167441 | Rovenski


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File: Geometry Pdf 167441 | Rovenski
geometry of curves and surfaces with symbolic computations vladimir rovenski department of mathematics university of haifa israel e mail vrovenski univ haifa ac il abstract these lectures are devoted to ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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                        Geometry of Curves and Surfaces
                          with Symbolic Computations
                                Vladimir Rovenski
                     Department of Mathematics, University of Haifa, Israel
                          E-mail: vrovenski@univ.haifa.ac.il
                                    Abstract
                   These Lectures are devoted to geometric modeling of curves
                   andsurfaces using symbolic computations and visualizations
                   with Maple program.
                  Lecture 1: Functions and Graphs
                  • Numbers and functions.
                  • Curvilinear coordinates.
                  • Interpolation and smoothing.
                  Lecture 2: Curves
                  • Plane and space curves.
                  • Differential geometry of curves.
                  • Variational problems.
                  Lecture 3: Transformations and projections
                  • Rigid motions and polytopes.
                  • Affine motions and projections.
                  • Projective transformations.
                  Lecture 4: Surfaces
                  • Differential geometry of surfaces.
                  • Classes of surfaces.
                  • Singular surfaces.
                          Lecture 5: Non-Euclidean Geometry
                          • M¨obius transformations.
                          • Hyperbolic motions.
                          • Hyperbolic geometry.
                       References
                       [1] Rovenski V.,  Geometry of Curves and Surfaces with MAPLE,
                          Birkh¨auser, Boston 2000.
                       [2] Rovenski V., Modeling of Curves and Surfaces with MATLAB, Springer,
                          Berlin 2010.
                       [3] Toponogov V., Differential Geometry of Curves and Surfaces: A Concise
                          Guide, Birkh¨auzer, Boston 2005.
                                                         2
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...Geometry of curves and surfaces with symbolic computations vladimir rovenski department mathematics university haifa israel e mail vrovenski univ ac il abstract these lectures are devoted to geometric modeling andsurfaces using visualizations maple program lecture functions graphs numbers curvilinear coordinates interpolation smoothing plane space dierential variational problems transformations projections rigid motions polytopes ane projective classes singular non euclidean m obius hyperbolic references v birkh auser boston matlab springer berlin toponogov a concise guide auzer...

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