Last edited by Tygoshicage

Sunday, July 26, 2020 | History

7 edition of **Geometry of Curves and Surfaces with MAPLE** found in the catalog.

- 384 Want to read
- 27 Currently reading

Published
**April 26, 2000**
by Birkhäuser Boston
.

Written in English

- Computer modelling & simulation,
- Geometry,
- Maple (Computer file),
- Differential Geometry,
- Maple V,
- Mathematics,
- Science/Mathematics,
- Discrete Mathematics,
- Geometry - Algebraic,
- Geometry - Analytic,
- Mathematics / Geometry / General,
- Data processing

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 310 |

ID Numbers | |

Open Library | OL8074632M |

ISBN 10 | 0817640746 |

ISBN 10 | 9780817640743 |

This text on geometry with computer modelling presents some elementary for analytical modelling 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, colours, and then further studies more complex problems in differential geometry. This concise guide to the differential geometry of curves and surfaces can be recommended to ﬁrst-year graduate students, strong senior students, and students specializing in geometry. The material is given in two parallel streams. A distinctive feature of the book .

These are lectures on classicial diﬀerential geometry of curves and surfaces in Euclidean space R3, as it developped in the 18th and 19th century. Their principal investigators were Gaspard Monge (), Carl Friedrich Gauss () and Bernhard Riemann (). In Chapter 1 we discuss smooth curves in the plane R2 and in space. The gold standard classic is in my opinion still Kobayashi and Nomizu' Foundations of differential geometry, from the 60's but very modern. Kobayashi also wrote an undergraduate text, very low on prerequisites, and it was translated by Springer last year as Differential Geometry of Curves and Surfaces.

This textbook explains the classical theory of curves and surfaces, how to define and compute standard geometric functions, and how to apply techniques from analysis. With over illustrations, miniprograms, and many examples, it highlights important theorems and alleviates the drudgery of computations such as the curvature and torsion of a curve in space. Differential Geometry of Curves and Surfaces. KOTABOOK – JUAL EBOOK MURAH Category.

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Well-illustrated with more than figuresreproducible using Maple programs in the bookthe 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 by: Well-illustrated with more than figuresreproducible using Maple programs in the bookthe 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. With over 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.

"The book can be recommended to students of mathematics, engineering or Author: Vladimir Rovenski. Geometry of Curves and Surfaces with MAPLE by Vladimir Rovenski,available at Book Depository with free delivery : Vladimir Rovenski.

Request PDF | Geometry of curves and surfaces with MAPLE | This is a manual for programming functions, curves, polyhedra and surfaces in MAPLE written for a mathematical audience.

There is a Author: Vladimir Rovenski. This book utilizes the power of Maple V to visually chart a path to curves and surfaces.

Highly illustrated, the book clearly explains the geometry of surfaces, covering many aspects of curves, surfaces, and polyhedrons. 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.

Well-illustrated with more than figures--reproduceable 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.

The book is also well-illustrated, with over figures reproducible using Matlab programs. This text greatly extends the author's previous title, "Geometry of Curves and Surfaces with Maple" (Birkhauser, ), and has a different focus.

In addition to being applications-driven and motivated by numerous examples and exercises from real-world. 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. Chapter 1 Parametrized curves and surfaces In this chapter the basic concepts of curves and surfaces are introduced, and examples are given.

These concepts will be described as subsets of R2 or R3 with a given parametrization, but also as subsets deﬁned by equations.

The connection from equations to parametrizations is drawn by means of the. 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 figures reproducible using.

This text on geometry with computer modelling presents some elementary for analytical modelling 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 colours. This book describes how the 3D shape of surfaces can be recovered from image sequences of 'outlines'.

It supplies the necessary background in differential geometry and in the analysis of visual motion. The result is a thorough introduction to the mathematical techniques with details of the implementations for practical applications. Geometry of Curves. Before a discussion of surfaces, curves in three dimensions will be covered for two reasons: surfaces are described by using certain special curves, and representations for curves generalize to representations for surfaces.

Curves can be represented in. Books: John McCleary, Geometry from a differential viewpoint Cambridge University Press Dirk J. Struik, Lectures on classical differential geometry Addison-Wesley M Do Carmo, Differential geometry of curves and surfaces, Prentice Hall.

Additional Resources. Archived Pages:. To get started finding Differential Geometry Of Curves And Surfaces, you are right to have our website which has a comprehensive collection of manuals listed. All of the free book found on this website are hosted on third-party servers that are freely available to read online for all internet users.

Geometry of Curves and Surfaces Weiyi Zhang Mathematics Institute, University of Warwick Septem 2. Contents 1 Curves 5 The following book has a lot of exercises with solutions available: Andrew Pressley, \Elementary Di erential Geometry", 2nd Ed, Springer.

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. Review: Differential Geometry of Curves and Surfaces User Review - Mark Hoyle - Goodreads. Excellent treatise on curves and surfaces with very clear exposition of the motivation behind many concepts in Riemannian Geometry.4/5(1). Books: Rovenski V.

Geometry of Curves and Surfaces with MAPLE, Birkhauser. Stroeker R. & Kaashoek J. Discovering Mathematica with MAPLE. Birkhauser, Gregor J. & Tišer J. Discovering Mathematics: A Problem-Solving Approach to Mathematical Analysis with MATHEMATICA and MAPLE.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 figures reproducible using Reviews: 1.

Book Description. 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.