03638nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172082001200181100003300193245010000226264006700326300004300393336002600436337002600462338003900488347002400527490007500551505030600626520160300932650001702535650002302552650002202575650003702597650001902634650001402653650003402667650001702701650001402718650002702732650002302759650001902782650003602801650002702837710003402864773002002898776003602918830007502954856010303029978-0-387-71278-9DE-He21320260521091936.0cr nn 008mamaa130427s2010    xxu|    s    |||| 0|eng d  a9780387712789  a997803877127897 a10.1007/978-0-387-71278-92doi  cCICY04a5162231 aRovenski, Vladimir.eauthor.10aModeling of Curves and Surfaces with MATLAB®h[recurso electrónico] /cby Vladimir Rovenski. 1aNew York, NY :bSpringer New York :bImprint: Springer,c2010.  aXV, 452p. 156 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aSpringer Undergraduate Texts in Mathematics and Technology,x1867-55060 aFunctions and Transformations -- Functions and Graphs -- Rigid Motions (Isometries) -- Affine and Projective Transformations -- Möbius Transformations -- Curves and Surfaces -- Examples of Curves -- Geometry of Curves -- Geometry of Surfaces -- Examples of Surfaces -- Piecewise Curves and Surfaces.  aThis text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors, transformations using matrices, and then studies more complex geometrical modeling problems related to analysis of curves and surfaces. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text greatly extends the author's previous title, Geometry of Curves and Surfaces with Maple (Birkhäuser, © 2000), and has a different focus. In addition to being applications driven and motivated by numerous examples and exercises from real-world fields, the book also contains over 60 percent new material, including new sections with complex numbers, quaternions, matrices and transformations, hyperbolic geometry, fractals, and surface-splines and over 300 figures reproducible using MATLAB® programs. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines, engineers, computer scientists, and instructors of applied mathematics. 0aMATHEMATICS. 0aCOMPUTER GRAPHICS. 0aCOMPUTER SCIENCE. 0aDIFFERENTIAL EQUATIONS, PARTIAL. 0aVISUALIZATION. 0aGEOMETRY. 0aGLOBAL DIFFERENTIAL GEOMETRY.14aMATHEMATICS.24aGEOMETRY.24aDIFFERENTIAL GEOMETRY.24aCOMPUTER GRAPHICS.24aVISUALIZATION.24aPARTIAL DIFFERENTIAL EQUATIONS.24aCOMPUTER APPLICATIONS.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387712772 0aSpringer Undergraduate Texts in Mathematics and Technology,x1867-550640uhttp://dx.doi.org/10.1007/978-0-387-71278-9zVer el texto completo en las instalaciones del CICY