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Download Elementary Geometry of Differentiable Curves: An Undergraduate Introduction de C. G. Gibson PDF [ePub Mobi] Gratis

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Elementary Geometry of Differentiable Curves: An Undergraduate Introduction de C. G. Gibson

Descripción - Críticas 'It is meant to be a genuine introduction to the differential geometry of plane curves and in fact it is … I can warmly recommend this booklet for students and scientists who have not yet gathered experience in differential geometry and who want to give themselves a treat.' J. Lang, IMN (Internationale Mathematische Nachrichten) Reseña del editor This genuine 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. Descripción del libro This genuine introduction to the differential geometry of plane curves is designed as an adoptable course text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. It assumes only foundational year mathematics, and is well illustrated with several hundred worked examples and exercises. Biografía del autor Chris Gibson received an honours degree in Mathematics from St Andrews University in 1963, and later the degrees of Drs Math and Dr Math from the University of Amsterdam, returning to England in 1967 to begin his 35 year mathematics career at the University of Liverpool. His interests turned towards the geometric areas, and he was a founder member of the Liverpool Singularities Group until his retirement in 2002 as Reader in Pure Mathematics, with over 60 published papers in that area. In 1974 he co-authored the significant Topological Stability of Smooth Mappings, presenting the first detailed proof of Thom's Topological Stability Theorem. In addition to purely theoretical work in singularity theory, he jointly applied singular methods to specific questions about caustics arising in the physical sciences. His later interests lay largely in the applications to theoretical kinematics, and to problems arising in theoretical robotics. This interest gave rise to a substantial collaboration with Professor K. H. Hunt in the Universities of Monash and Melbourne, and produced a formal classification of screw systems. At the teaching level his major contribution was to pioneer the re-introduction of undergraduate geometry teaching. The practical experience of many years of undergraduate teaching was distilled into three undergraduate texts published by Cambridge University Press, now widely adopted internationally for undergraduate (and graduate) teaching.

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Detalles del Libro

  • Name: Elementary Geometry of Differentiable Curves: An Undergraduate Introduction
  • Autor: C. G. Gibson
  • Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
  • Tamaño del archivo: 7 MB
  • Tipos de archivo: PDF Document
  • Idioma: Español
  • Archivos de estado: AVAILABLE


Descargar Gratis Elementary Geometry of Differentiable Curves: An Undergraduate Introduction de C. G. Gibson PDF [ePub Mobi] Gratis

Pdf elementary geometry of differentiable curves an elementary differential geometry focuses on the elementary account of the geometry of curves and surfaces the book first offers information on calculus on euclidean space and frame fields topics include structural equations, connection forms, frame fields, covariant derivatives, frenet formulas, curves, mappings, tangent vectors, and differential forms Google libros libros haz búsquedas en el mayor catálogo de libros completos del mundo mi colección editores información privacidad términos ayuda Differential geometry of manifolds textbooks in from the coauthor of differential geometry of curves and surfaces, this companion book presents the extension of differential geometry from curves and surfaces to manifolds in generalit provides a broad introduction to the field of differentiable and riemannian manifolds, tying together the classical and modern formulations

Elementary geometry of differentiable curves by c g gibson elementary geometry of differentiable curves elementary geometry of differentiable curves elementary geometry of differentiable curves an undergraduate introduction get access buy the print book check if you have access via personal or institutional login log in register recommend to librarian Elementary differential geometry springer undergraduate elementary differential geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject prerequisites are kept to an absolute minimum nothing beyond first courses in linear algebra and multivariable calculus and the most direct and straightforward approach is used throughout List page11089 ebookee free download ebooks search engine 20110325 elementary geometry of differentiable curves an undergraduate introduction 20110325 how surfaces intersect in space an introduction to topology 20110325 leadership for sustainable futures achieving success in a competitive world 20110325 autolife quarterly magazine spring 2011


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