Geometry Of Curves And Surfaces With Maple

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 1461221285
Total Pages : 310 pages
Book Rating : 4.89/5 ( download)

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Download or read book Geometry of Curves and Surfaces with MAPLE written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using Maple programs in the book---the work is devoted to three main areas: curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple programs, some of which are analogous to C++ programs, including those for splines and fractals. To avoid tedious typing, readers will be able to download many of the programs from the Birkhauser web site. Aimed at a broad audience of students, instructors of mathematics, computer scientists, and engineers who have knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or self-study reference. With over 100 stimulating exercises, problems and solutions, {\it Geometry of Curves and Surfaces with Maple} will integrate traditional differential and non- Euclidean geometries with more current computer algebra systems in a practical and user-friendly format.

Author : Maciej Klimek
Publisher : Springer Science & Business Media
ISBN 13 : 1461218268
Total Pages : 231 pages
Book Rating : 4.65/5 ( download)

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Download or read book Discovering Curves and Surfaces with Maple® written by Maciej Klimek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the complex and beautiful world of curves and surfaces. A comprehensive treatment of Maples graphics commands and structures is combined with an introduction to the main aspects of visual perception, with priority given to the use of light, colour, perspective, and geometric transformations. Numerous examples cover all aspects of Maple graphics, and these may be easily tailored to the individual needs of the reader. The approach is context-independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book will serve as a comprehensive reference manual. For the beginner, it offers a user-friendly introduction to the subject, with mathematical requirements kept to a minimum, while, for those interested in advanced mathematical visualisation, it explains how to maximise Maples graphical capabilities.

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 0387712771
Total Pages : 463 pages
Book Rating : 4.72/5 ( download)

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Download or read book Modeling of Curves and Surfaces with MATLAB® written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2010-06-10 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and transformations using matrices. 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 is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Author : Thomas F. Banchoff
Publisher : CRC Press
ISBN 13 : 1000597725
Total Pages : 385 pages
Book Rating : 4.21/5 ( download)

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Download or read book Differential Geometry of Curves and Surfaces written by Thomas F. Banchoff and published by CRC Press. This book was released on 2022-08-05 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third edition has been made more accessible by offering more graduated exercise sets. Also, Maple applets replace the Java used in the previous two editions. There are other books with this title, yet none offer integrated technology to assist students in visualizing the concepts. The use of Maple to build in a visual element, often in three dimensions, creates an opportunity for readers, instructors, and students will find compelling.

Author : Maciej Klimek
Publisher : Springer Science & Business Media
ISBN 13 : 9780387948904
Total Pages : 244 pages
Book Rating : 4.02/5 ( download)

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Download or read book Discovering Curves and Surfaces with Maple® written by Maciej Klimek and published by Springer Science & Business Media. This book was released on 1997-08-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the complex and beautiful world of curves and surfaces. A comprehensive treatment of Maples graphics commands and structures is combined with an introduction to the main aspects of visual perception, with priority given to the use of light, colour, perspective, and geometric transformations. Numerous examples cover all aspects of Maple graphics, and these may be easily tailored to the individual needs of the reader. The approach is context-independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book will serve as a comprehensive reference manual. For the beginner, it offers a user-friendly introduction to the subject, with mathematical requirements kept to a minimum, while, for those interested in advanced mathematical visualisation, it explains how to maximise Maples graphical capabilities.

Author : Grazyna Klimek
Publisher :
ISBN 13 : 9783540948902
Total Pages : 217 pages
Book Rating : 4.02/5 ( download)

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Download or read book Discovering Curves and Surfaces with Maple written by Grazyna Klimek and published by . This book was released on 1997 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Elsa Abbena
Publisher : CRC Press
ISBN 13 : 142001031X
Total Pages : 1016 pages
Book Rating : 4.12/5 ( download)

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Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica written by Elsa Abbena and published by CRC Press. This book was released on 2017-09-06 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 038771278X
Total Pages : 463 pages
Book Rating : 4.89/5 ( download)

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Download or read book Modeling of Curves and Surfaces with MATLAB® written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2010-07-03 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and transformations using matrices. 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 is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Author : Luther Pfahler Eisenhart
Publisher : Courier Corporation
ISBN 13 : 0486159469
Total Pages : 496 pages
Book Rating : 4.61/5 ( download)

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Download or read book A Treatise on the Differential Geometry of Curves and Surfaces written by Luther Pfahler Eisenhart and published by Courier Corporation. This book was released on 2013-04-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.

Author : Manfredo P. do Carmo
Publisher : Courier Dover Publications
ISBN 13 : 0486817970
Total Pages : 528 pages
Book Rating : 4.72/5 ( download)

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Download or read book Differential Geometry of Curves and Surfaces written by Manfredo P. do Carmo and published by Courier Dover Publications. This book was released on 2016-12-14 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most widely used texts in its field, this volume's clear, well-written exposition is enhanced by many examples and exercises, some with hints and answers. 1976 edition.