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25 Remote Warehouse Mathematics- Algebraic Geometry

This title in other editions

Geometry and Interpolation of Curves and Surfaces

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Geometry and Interpolation of Curves and Surfaces Cover

 

Synopses & Reviews

Publisher Comments:

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective coordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter, they apply the basic theory to the construction of finite element basis functions and surface interpolants over nonregular shapes. Professionals, students, and researchers in applied mathematics, solid modeling, graphics, robotics, and engineering design and analysis will find this a useful reference.

Synopsis:

This 1998 text gives a step-by-step approach to the production of conics, cubics, more general curves, and rational surfaces.

Synopsis:

This text gives a step-by-step approach to conics, cubics, more general curves, and rational surfaces. This approach to geometry has many practical applications in engineering analysis (such as CAD/CAM), approximation, and curve plotting. Thus the emphasis is on methods that can be used computationally. The authors start with simple interpolation, including splines. In an intuitive fashion they extend these simple procedures to the production of conic sections and more complicated curves and surfaces. Every concept is illustrated with figures and concrete examples.Professionals, students, and researchers in applied mathematics, solid modeling, graphics, robotics, and engineering design and analysis will find this a useful reference.

Table of Contents

1. Interpolation; 2. Conic sections; 3. Synthetic geometry; 4. Algebraic projective geometry; 5. Algebraic curves; 6. Examples and applications; 7. Surfaces.

Product Details

ISBN:
9780521159395
Author:
Mcleod, Robin J. Y.
Publisher:
Cambridge University Press
Author:
McLeod, Robin J. Y.
Author:
Baart, M. Louisa
Location:
New York
Subject:
Topology - General
Subject:
Mathematics-Algebraic Geometry
Subject:
Topology
Edition Description:
Trade paper
Publication Date:
20110431
Binding:
TRADE PAPER
Language:
English
Pages:
430
Dimensions:
9.02 x 5.98 x 0.94 in 1.39 lb

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Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology
Textbooks » General

Geometry and Interpolation of Curves and Surfaces New Trade Paper
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$72.50 In Stock
Product details 430 pages Cambridge University Press - English 9780521159395 Reviews:
"Synopsis" by , This 1998 text gives a step-by-step approach to the production of conics, cubics, more general curves, and rational surfaces.
"Synopsis" by , This text gives a step-by-step approach to conics, cubics, more general curves, and rational surfaces. This approach to geometry has many practical applications in engineering analysis (such as CAD/CAM), approximation, and curve plotting. Thus the emphasis is on methods that can be used computationally. The authors start with simple interpolation, including splines. In an intuitive fashion they extend these simple procedures to the production of conic sections and more complicated curves and surfaces. Every concept is illustrated with figures and concrete examples.Professionals, students, and researchers in applied mathematics, solid modeling, graphics, robotics, and engineering design and analysis will find this a useful reference.
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