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Více informací o knize Elementary Geometry of Differentiable Curves

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Anotace knihy

This genuine 2001 introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. The basic concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The singular viewpoint is represented by a study of contact with lines and circles, illuminating the ideas of cusp, inflexion and vertex. There are two major physical applications. Caustics are discussed via the central concepts of evolute and orthotomic. The final chapters introduce the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Elementary Geometry of Differentiable Curves
• Podnázev: An Undergraduate Introduction
• Autor: C. G. (University of Liverpool) Gibson
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 238
• EAN: 9780521804530
• ISBN: 0521804531
• ID: 02044097
• Nakladatelství: Cambridge University Press
• Hmotnost: 456 g
• Rozměry: 235 × 158 × 17 mm
• Datum vydání: 17. May 2001

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