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03276nam a22005175i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-3-540-73725-4 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20161121231214.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100301s2008 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540737254 |
| -- |
978-3-540-73725-4 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-540-73725-4 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA564-609 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBMW |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT012010 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Sendra, J. Rafael. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Rational Algebraic Curves |
| Medium |
[electronic resource] : |
| Remainder of title |
A Computer Algebra Approach / |
| Statement of responsibility, etc. |
by J. Rafael Sendra, Franz Winkler, Sonia P�rez-D�az. 1 |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2008. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
X, 270 p. 24 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda1 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Algorithms and Computation in Mathematics, |
| International Standard Serial Number |
1431-1550 ; |
| Volume/sequential designation |
220 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
and Motivation -- Plane Algebraic Curves -- The Genus of a Curve -- Rational Parametrization -- Algebraically Optimal Parametrization -- Rational Reparametrization -- Real Curves. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and m- ern architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional practical importance as central objects in computer-aided geometric design. Modern airplanes, cars, and household appliances would be unthinkable without the computational manipulation of algebraic curves and surfaces. Algebraic curves and surfaces combine fas- nating mathematical beauty with challenging computational complexity and wide spread practical applicability. In this book we treat only algebraic curves, although many of the results and methods can be and in fact have been generalized to surfaces. Being the solution loci of algebraic, i. e. , polynomial, equations in two variables, plane algebraiccurvesarewellsuited forbeing investigatedwith symboliccomputer algebra methods. This is exactly the approach we take in our book. We apply algorithms from computer algebra to the analysis, and manipulation of al- braic curves. To a large extent this amounts to being able to represent these algebraic curves in di?erent ways, such as implicitly by de?ning polyno- als, parametrically by rational functions, or locally parametrically by power series expansions around a point. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Computer science |
| General subdivision |
Mathematics. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Algebra. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Algebraic geometry.14 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Algebraic Geometry.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Algebra.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Symbolic and Algebraic Manipulation.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Math Applications in Computer Science.1 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Winkler, Franz. |
| Relator term |
author.1 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
P�rez-D�az, Sonia. |
| Relator term |
author.2 |
| Personal name |
|
| 710 ## - ADDED ENTRY--CORPORATE NAME |
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| Title of a work |
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| 773 ## - HOST ITEM ENTRY |
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| Relationship information |
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| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| International Standard Book Number |
9783540737247 0 |
| Main entry heading |
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| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
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| International Standard Serial Number |
1431-1550 ; |
| Volume/sequential designation |
2240 |
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| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| 912 ## - |
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