Geometry of Curves and Surfaces with MAPLE

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461221285
Total Pages : 310 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometry of Curves and Surfaces with MAPLE by : Vladimir Rovenski

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.

Discovering Curves and Surfaces with Maple®

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461218268
Total Pages : 231 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Discovering Curves and Surfaces with Maple® by : Maciej Klimek

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.

Discovering Curves and Surfaces with Maple®

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387948904
Total Pages : 244 pages
Book Rating : 4.9/5 (489 download)

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Book Synopsis Discovering Curves and Surfaces with Maple® by : Maciej Klimek

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.

Differential Geometry of Curves and Surfaces

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Author :
Publisher : CRC Press
ISBN 13 : 1000597725
Total Pages : 385 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Differential Geometry of Curves and Surfaces by : Thomas F. Banchoff

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.

Discovering Curves and Surfaces with Maple

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Publisher :
ISBN 13 : 9783540948902
Total Pages : 217 pages
Book Rating : 4.9/5 (489 download)

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Book Synopsis Discovering Curves and Surfaces with Maple by : Grazyna Klimek

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:

Modeling of Curves and Surfaces with MATLAB®

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387712771
Total Pages : 463 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Modeling of Curves and Surfaces with MATLAB® by : Vladimir Rovenski

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.

Elementary Differential Geometry

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Author :
Publisher : Academic Press
ISBN 13 : 148326811X
Total Pages : 422 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Elementary Differential Geometry by : Barrett O'Neill

Download or read book Elementary Differential Geometry written by Barrett O'Neill and published by Academic Press. This book was released on 2014-05-12 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces. The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame fields, covariant derivatives, Frenet formulas, curves, mappings, tangent vectors, and differential forms. The publication then examines Euclidean geometry and calculus on a surface. Discussions focus on topological properties of surfaces, differential forms on a surface, integration of forms, differentiable functions and tangent vectors, congruence of curves, derivative map of an isometry, and Euclidean geometry. The manuscript takes a look at shape operators, geometry of surfaces in E, and Riemannian geometry. Concerns include geometric surfaces, covariant derivative, curvature and conjugate points, Gauss-Bonnet theorem, fundamental equations, global theorems, isometries and local isometries, orthogonal coordinates, and integration and orientation. The text is a valuable reference for students interested in elementary differential geometry.

Modeling of Curves and Surfaces with MATLAB®

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 038771278X
Total Pages : 463 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Modeling of Curves and Surfaces with MATLAB® by : Vladimir Rovenski

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.

Modern Differential Geometry of Curves and Surfaces with Mathematica

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Author :
Publisher : CRC Press
ISBN 13 : 142001031X
Total Pages : 1016 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica by : Elsa Abbena

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.

Differential Geometry of Curves and Surfaces

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486817970
Total Pages : 528 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Differential Geometry of Curves and Surfaces by : Manfredo P. do Carmo

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.

A Treatise on the Differential Geometry of Curves and Surfaces

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486159469
Total Pages : 496 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis A Treatise on the Differential Geometry of Curves and Surfaces by : Luther Pfahler Eisenhart

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.

Elementary Differential Geometry

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Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elementary Differential Geometry by : Barrett O'Neill

Download or read book Elementary Differential Geometry written by Barrett O'Neill and published by . This book was released on 1966 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : CRC Press
ISBN 13 : 1482247372
Total Pages : 431 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Differential Geometry of Curves and Surfaces by : Thomas F. Banchoff

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 2016-04-05 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : MAA
ISBN 13 : 9780883857489
Total Pages : 508 pages
Book Rating : 4.8/5 (574 download)

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Book Synopsis Differential Geometry and Its Applications by : John Oprea

Download or read book Differential Geometry and Its Applications written by John Oprea and published by MAA. This book was released on 2007-09-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.

Differential Geometry of Curves and Surfaces

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Author :
Publisher : CRC Press
ISBN 13 : 1439894051
Total Pages : 345 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Differential Geometry of Curves and Surfaces by : Thomas F. Banchoff

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 2010-03-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties

Dynamical Systems and Differential Geometry via MAPLE

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527572951
Total Pages : 254 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Dynamical Systems and Differential Geometry via MAPLE by : Constantin Udriste

Download or read book Dynamical Systems and Differential Geometry via MAPLE written by Constantin Udriste and published by Cambridge Scholars Publishing. This book was released on 2021-10-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of dynamical systems and differential geometry via MAPLE is a field which has become exceedingly technical in recent years. In the field, everything is structured for the benefit of optimizing evolutionary geometric aspects that describe significant physical or engineering phenomena. This book is structured in terms of the importance, accessibility and impact of theoretical notions capable of shaping a future mathematician-computer scientist possessing knowledge of evolutionary dynamical systems. It provides a self-contained and accessible introduction for graduate and advanced undergraduate students in mathematics, engineering, physics, and economic sciences. This book is suitable for both self-study for students and professors with a background in differential geometry and for teaching a semester-long introductory graduate course in dynamical systems and differential geometry via MAPLE.

Differential Geometry and Its Applications

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147045050X
Total Pages : 469 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Differential Geometry and Its Applications by : John Oprea

Download or read book Differential Geometry and Its Applications written by John Oprea and published by American Mathematical Soc.. This book was released on 2019-02-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.