Descripción del título
Modeling of Curves and Surf...
This 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 (Birkhuser, 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
Monografía
monografia Rebiun17224757 https://catalogo.rebiun.org/rebiun/record/Rebiun17224757 cr nn 008mamaa 130427s2010 xxu| s |||| 0|eng d 9780387712789 978-0-387-71278-9 10.1007/978-0-387-71278-9 doi UR0317541 UPVA 996877341603706 UAM 991007632934904211 CUNEF 991000429980308131 UPM 991005036079704212 UCAR 991003983939704213 PBM bicssc MAT012000 bisacsh Rovenski, Vladimir Modeling of Curves and Surfaces with MATLAB Recurso electrnico] by Vladimir Rovenski New York, NY Springer New York Imprint: Springer 2010 New York, NY New York, NY Springer New York Imprint: Springer XV, 452p. 156 illus. digital XV, 452p. 156 illus. Springer Undergraduate Texts in Mathematics and Technology 1867-5506 Preface -- Part 1: Functions and Transformations -- Functions and Graphs.-Rigid Motions (Isometries) -- Affine and Projective Transformations.-Mobius Transformations -- Part 2: Curves and Surfaces -- Examples of Curves -- Geometry of Curves -- Surfaces -- Geometry of Surfaces -- Examples of Surfaces.-Piecewise Curves and Surfaces -- Appendix: M-files.-References -- Index Acceso restringido a miembros de la UGR This 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 (Birkhuser, 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 Mathematics Computer graphics Computer science Differential equations, partial Visualization Geometry Global differential geometry Mathematics Geometry Differential Geometry Computer Graphics Visualization Partial Differential Equations Computer Applications SpringerLink (Online service) National Bureau of Economic Research SpringerLink ebooks (Servicio en lnea) Springer eBooks Springer eBooks Printed edition 9780387712772 Springer Undergraduate Texts in Mathematics and Technology 1867-5506