J. W. Rutter

Geometry of Curves (eBook, PDF)

• Format: PDF

Produktbeschreibung

Integrating the three main areas of curve geometry-parametric, algebraic, and projective curves-Geometry of Curves offers a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. Almost entirely self-contained, this book begins with the basics then takes readers on a fascinating journey from conics through the properties of parametric curves and the classification of limacons to the application of projective curves to asymptotes and boundedness. The uniqueness of this work lies in its integration of the different types of curves, its use of analytic methods, and its plentiful examples, exercises, and illustrations.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 384
• Erscheinungstermin: 3. Oktober 2018
• Englisch
• ISBN-13: 9781482285673
• Artikelnr.: 54672723

Autorenporträt

Rutter, J.W.

Inhaltsangabe

PreliminariesLines
Circles and ConicsConics: General PositionSome Higher Algebraic and Transcendental CurvesParameters
Tangents
Normals. Contact
InflexionsUndulationsCusps
Non-Regular PointsCurvatureCurvature ApplicationsCircle of CurvatureLimaconsEvolutesParallels
InvolutesRoulettesEnvelopesSingular Points of Algebraic CurvesProjective Curves