Geometry Of Curves And Surfaces With Maple
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Geometry Of Curves And Surfaces With Maple
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Author : Vladimir Rovenski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Geometry Of Curves And Surfaces With Maple written by Vladimir Rovenski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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.
Discovering Curves And Surfaces With Maple
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Author : Maciej Klimek
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-08-21
Discovering Curves And Surfaces With Maple written by Maciej Klimek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-21 with Mathematics categories.
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.
Discovering Curves And Surfaces With Maple
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Author : Grazyna Klimek
language : en
Publisher:
Release Date : 1997
Discovering Curves And Surfaces With Maple written by Grazyna Klimek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Differential Geometry Of Curves And Surfaces
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Author : Thomas F. Banchoff
language : en
Publisher: CRC Press
Release Date : 2022-08-05
Differential Geometry Of Curves And Surfaces written by Thomas F. Banchoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-05 with Mathematics categories.
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.
Modeling Of Curves And Surfaces With Matlab
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Author : Vladimir Rovenski
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-03
Modeling Of Curves And Surfaces With Matlab written by Vladimir Rovenski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-03 with Mathematics categories.
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.
Elementary Differential Geometry
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Author : Barrett O'Neill
language : en
Publisher:
Release Date : 1966
Elementary Differential Geometry written by Barrett O'Neill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.
Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text. * Gives detailed examples for all essential ideas * Provides more than 300 exercises * Features more than 200 illustrations * Includes an introduction to using computers, and supplies answers to computer exercises given for both Mathematica and Maple systems
Differential Geometry Of Curves And Surfaces
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Author : Thomas F. Banchoff
language : en
Publisher: CRC Press
Release Date : 2016-04-05
Differential Geometry Of Curves And Surfaces written by Thomas F. Banchoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-05 with Mathematics categories.
Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets suppor
Differential Geometry And Its Applications
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Author : John Oprea
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-01
Differential Geometry And Its Applications written by John Oprea and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.
Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.
Differential Geometry Of Curves And Surfaces
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Author : Luther P. Einsenhart
language : en
Publisher:
Release Date : 1909
Differential Geometry Of Curves And Surfaces written by Luther P. Einsenhart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1909 with categories.
Modeling Of Curves And Surfaces With Matlab
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Author : Vladimir Rovenski
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-10
Modeling Of Curves And Surfaces With Matlab written by Vladimir Rovenski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-10 with Mathematics categories.
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.