Shape-Preserving Approximation by Real and Complex Polynomials
Sorin G. Gal
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Description for Shape-Preserving Approximation by Real and Complex Polynomials
Hardback. This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality. Num Pages: 365 pages, biography. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 20. Weight in Grams: 691.
In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible. Very schema- cally, if the input data represents a complicated discrete/continuous quantity of information, of “shape” S (S could mean, for example, that we have a “monotone/convex” collection of data), then one desires to represent it by the less-complicated output information, that “approximates well” the input data and, in addition, has the same “shape” S. This kind of approximation is called “shape-preserving approximation” and arises in computer-aided geometric design, robotics, chemistry, etc. Typically, the input data is represented by ... Read more
In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible. Very schema- cally, if the input data represents a complicated discrete/continuous quantity of information, of “shape” S (S could mean, for example, that we have a “monotone/convex” collection of data), then one desires to represent it by the less-complicated output information, that “approximates well” the input data and, in addition, has the same “shape” S. This kind of approximation is called “shape-preserving approximation” and arises in computer-aided geometric design, robotics, chemistry, etc. Typically, the input data is represented by ... Read more
Product Details
Format
Hardback
Publication date
2008
Publisher
Birkhauser Boston Inc United States
Number of pages
365
Condition
New
Number of Pages
352
Place of Publication
Secaucus, United States
ISBN
9780817647025
SKU
V9780817647025
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Shape-Preserving Approximation by Real and Complex Polynomials
From the reviews: "This monograph is a rich collection of existing and new results in an important part of approximation theory, in which the object of approximation and the instrument for approximation share the same shape characteristics. … This is convenient for a reference book … . This book is a result of hard work and deep knowledge ... Read more