Rational Algebraic Curves (Record no. 425899)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03976nam a22005655i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783540737254 |
| -- | 978-3-540-73725-4 |
| 024 7# - | |
| -- | 10.1007/978-3-540-73725-4 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA564-609 |
| 072 #7 - | |
| -- | PBMW |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012010 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBMW |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.35 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sendra, J. Rafael. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 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 Pérez-Díaz. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer | Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture | 2008. |
| 300 ## - | |
| -- | X, 270 p. 24 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Algorithms and Computation in Mathematics, |
| -- | 1431-1550 ; |
| -- | 22 |
| 505 0# - | |
| -- | and Motivation -- Plane Algebraic Curves -- The Genus of a Curve -- Rational Parametrization -- Algebraically Optimal Parametrization -- Rational Reparametrization -- Real Curves. |
| 520 ## - | |
| -- | 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. |
| 650 #0 - | |
| -- | Geometry, algebraic. |
| 650 #0 - | |
| -- | Algebra. |
| 650 #0 - | |
| -- | Algebra |
| -- | Data processing. |
| 650 #0 - | |
| -- | Computer science. |
| 650 14 - | |
| -- | Algebraic Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 650 24 - | |
| -- | Algebra. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11000 |
| 650 24 - | |
| -- | Symbolic and Algebraic Manipulation. |
| -- | http://scigraph.springernature.com/things/product-market-codes/I17052 |
| 650 24 - | |
| -- | Math Applications in Computer Science. |
| -- | http://scigraph.springernature.com/things/product-market-codes/I17044 |
| 700 1# - | |
| -- | Winkler, Franz. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Pérez-Díaz, Sonia. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783642092916 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783540841203 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783540737247 |
| 830 #0 - | |
| -- | Algorithms and Computation in Mathematics, |
| -- | 1431-1550 ; |
| -- | 22 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-540-73725-4 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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