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Author: Maciej Klimek Publisher: Springer Science & Business Media ISBN: 1461218268 Category : Mathematics Languages : en Pages : 231
Book Description
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: Maciej Klimek Publisher: Springer Science & Business Media ISBN: 1461218268 Category : Mathematics Languages : en Pages : 231
Book Description
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: 1461221285 Category : Mathematics Languages : en Pages : 310
Book Description
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: Vladimir Y. Rovenskii Publisher: ISBN: Category : Mathematics Languages : en Pages : 328
Book Description
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.
Author: Vladimir Rovenski Publisher: Springer Science & Business Media ISBN: 0387712771 Category : Mathematics Languages : en Pages : 463
Book Description
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: Victor Aladjev Publisher: Fultus Corporation ISBN: 1596820802 Category : Computers Languages : en Pages : 405
Book Description
The book consists of two parts. The first part consists of seven chapters and presents a new software for package Maple of releases 6-10. The tools represented in this chapters increase the range and efficiency of use of Maple on Windows platform. The basic attention is devoted to additional tools created in the process of practical use and testing the Maple of releases 4 - 10 which by some parameters extend essentially the opportunities of the package and facilitate the work with it.Whereas the algorithms of physical and engineering problems of the second part mainly use the finite element method (FEM). The part consists of eight chapters and solves in Maple environment the physical and engineering problems from such fields as: thermal conductivity, mechanics of deformable bodies, theory of elasticity, hydrodynamics, hydromechanics, etc. At last, application of Maple for solution of optimization problems is presented.
Author: Jonathan M. Borwein Publisher: Springer Science & Business Media ISBN: 1461401224 Category : Mathematics Languages : en Pages : 216
Book Description
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Maple and other like tools are worth knowing assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an `experimental mathematician' while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.
Author: Bill Scott Publisher: Springer Science & Business Media ISBN: 3642566855 Category : Science Languages : en Pages : 418
Book Description
A presentation of what Maple can do and how it does it in the context of environmental sciences. The text includes introductory tutorials in each chapter combined with extensive marginal comments which are followed by a complete application. These include the contouring of water table data, the physical chemistry of kidney stones, and acid rain. The book also provides a special application to enable students to use "self help" in the case that Maple seem unable to do the simplest things.
Author: Mahmut Parlar Publisher: Springer Science & Business Media ISBN: 1461213568 Category : Business & Economics Languages : en Pages : 478
Book Description
Interactive Operations Research with Maple: Methods and Models has two ob jectives: to provide an accelerated introduction to the computer algebra system Maple and, more importantly, to demonstrate Maple's usefulness in modeling and solving a wide range of operations research (OR) problems. This book is written in a format that makes it suitable for a one-semester course in operations research, management science, or quantitative methods. A nwnber of students in the departments of operations research, management science, oper ations management, industrial and systems engineering, applied mathematics and advanced MBA students who are specializing in quantitative methods or opera tions management will find this text useful. Experienced researchers and practi tioners of operations research who wish to acquire a quick overview of how Maple can be useful in solving OR problems will find this an excellent reference. Maple's mathematical knowledge base now includes calculus, linear algebra, ordinary and partial differential equations, nwnber theory, logic, graph theory, combinatorics, statistics and transform methods. Although Maple's main strength lies in its ability to perform symbolic manipulations, it also has a substantial knowledge of a large nwnber of nwnerical methods and can plot many different types of attractive-looking two-dimensional and three-dimensional graphs. After almost two decades of continuous improvement of its mathematical capabilities, Maple can now boast a user base of more than 300,000 academics, researchers and students in different areas of mathematics, science and engineering.
Author: Maciej Klimek
Author: Maciej Klimek
Author: Grazyna Klimek
Author: Vladimir Rovenski
Author: Vladimir Rovenski
Author: Vladimir Y. Rovenskii
Author: Vladimir Rovenski
Author: Victor Aladjev
Author: Jonathan M. Borwein
Author: Bill Scott
Author: Mahmut Parlar