Zur Startseite gehen
0,00 €*
Cover: 9783642092916 | Rational Algebraic Curves | A Computer Algebra Approach | Taschenbuch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Rational Algebraic Curves
A Computer Algebra Approach
Taschenbuch von J. Rafael Sendra (u. a.)
Sprache: Englisch

53,49 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
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.
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.
Zusammenfassung
The central problem considered in this book is the determination of rational parametrizability of an algebraic curve, and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve, i.e. its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. Various optimality criteria for rational parametrizations of algebraic curves are discussed. This book is mainly intended for graduate students and researchers in constructive algebraic curve geometry. It provides a nice and easy introduction to the topic for students.
Inhaltsverzeichnis
and Motivation.- Plane Algebraic Curves.- The Genus of a Curve.- Rational Parametrization.- Algebraically Optimal Parametrization.- Rational Reparametrization.- Real Curves.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Algorithms and Computation in Mathematics
Inhalt: x
270 S.
24 s/w Illustr.
270 p. 24 illus.
ISBN-13: 9783642092916
ISBN-10: 3642092918
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Sendra, J. Rafael
Pérez-Diaz, Sonia
Winkler, Franz
Auflage: Softcover reprint of hardcover 1st ed. 2008
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Algorithms and Computation in Mathematics
Maße: 235 x 155 x 16 mm
Von/Mit: J. Rafael Sendra (u. a.)
Erscheinungsdatum: 20.11.2010
Gewicht: 0,429 kg
Artikel-ID: 107211838
Zusammenfassung
The central problem considered in this book is the determination of rational parametrizability of an algebraic curve, and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve, i.e. its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. Various optimality criteria for rational parametrizations of algebraic curves are discussed. This book is mainly intended for graduate students and researchers in constructive algebraic curve geometry. It provides a nice and easy introduction to the topic for students.
Inhaltsverzeichnis
and Motivation.- Plane Algebraic Curves.- The Genus of a Curve.- Rational Parametrization.- Algebraically Optimal Parametrization.- Rational Reparametrization.- Real Curves.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Algorithms and Computation in Mathematics
Inhalt: x
270 S.
24 s/w Illustr.
270 p. 24 illus.
ISBN-13: 9783642092916
ISBN-10: 3642092918
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Sendra, J. Rafael
Pérez-Diaz, Sonia
Winkler, Franz
Auflage: Softcover reprint of hardcover 1st ed. 2008
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Algorithms and Computation in Mathematics
Maße: 235 x 155 x 16 mm
Von/Mit: J. Rafael Sendra (u. a.)
Erscheinungsdatum: 20.11.2010
Gewicht: 0,429 kg
Artikel-ID: 107211838
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Buch
Cover: 9780387962542 | Disquisitiones Arithmeticae | Carl Friedrich Gauss (u. a.) | Buch
Disquisitiones Arithmeticae
EAN: 9780387962542
Sprache: Englisch
Von/Mit: Carl Friedrich Gauss (u. a.)

213,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783034602891 | Classification of Higher Dimensional Algebraic Varieties | Taschenbuch
Classification of Higher Dimensional Algebraic Varieties
EAN: 9783034602891
Sprache: Englisch
Von/Mit: Sándor Kovács (u. a.)

32,09 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783642040177 | Computational Line Geometry | Johannes Wallner (u. a.) | Taschenbuch
Computational Line Geometry
EAN: 9783642040177
Sprache: Englisch
Von/Mit: Johannes Wallner (u. a.)

213,99 €*

Aktuell nicht verfügbar

Buch
Cover: 9783540289920 | Computing in Algebraic Geometry | A Quick Start using SINGULAR | Buch
Computing in Algebraic Geometry
A Quick Start using SINGULAR
EAN: 9783540289920
Sprache: Englisch
Von/Mit: Christoph Lossen (u. a.)

53,49 €*

Aktuell nicht verfügbar

Buch
Cover: 9780521811606 | Harmonic Maps, Conservation Laws and Moving Frames | Helein (u. a.)
Harmonic Maps, Conservation Laws and Moving Frames
EAN: 9780521811606
Sprache: Englisch
Von/Mit: Frederic Helein (u. a.)

131,70 €*

Aktuell nicht verfügbar

Buch
Cover: 9780387946573 | The Fundamental Theorem of Algebra | Benjamin Fine (u. a.) | Buch | xi
The Fundamental Theorem of Algebra
EAN: 9780387946573
Sprache: Englisch
Von/Mit: Benjamin Fine (u. a.)

96,00 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781484243718 | Introducing Dart Sass | Alex Libby | Taschenbuch | Paperback | xvii
Introducing Dart Sass
A Practical Introduction to the Replacement for Sass, Built on Dart
EAN: 9781484243718
Sprache: Englisch
Von/Mit: Alex Libby

29,95 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783030605339 | Polynomial Automorphisms and the Jacobian Conjecture | Essen (u. a.)
Polynomial Automorphisms and the Jacobian Conjecture
New Results from the Beginning of the 21st Century
EAN: 9783030605339
Sprache: Englisch
Von/Mit: Arno van den Essen (u. a.)

58,84 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9782033654740 | AI-Driven Crypto Investing | Herman Strange | Taschenbuch | Paperback
AI-Driven Crypto Investing
Strategies for Maximizing Rewards and Minimizing Risks in the Volatile Cryptocurrency Market
EAN: 9782033654740
Sprache: Englisch
Von/Mit: Herman Strange

12,70 €*

Aktuell nicht verfügbar

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...