Elementary Geometry of Differentiable Curves

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Sprache: Englisch

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Beschreibung

This book is an introductory text on the differential geometry of plane curves.

Über den 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.

Inhaltsverzeichnis

1. The Euclidean plane; 2. Parametrized curves; 3. Classes of special curves; 4. Arc length; 5. Curvature; 6. Existence and uniqueness; 7. Contact with lines; 8. Contact with circles; 9. Vertices; 10. Envelopes; 11. Orthotomics; 12. Caustics by reflexion; 13. Planar kinematics; 14. Centrodes; 15. Geometry of trajectories.

Details

Erscheinungsjahr:	2010
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	238
ISBN-13:	9780521011075
ISBN-10:	0521011078
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Gibson, Chris Gibson, C. G.
Hersteller:	Cambridge University Press
Maße:	229 x 152 x 14 mm
Von/Mit:	Chris Gibson (u. a.)
Erscheinungsdatum:	09.12.2010
Gewicht:	0,393 kg

preigu-id: 101228272

Über den Autor

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2010
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	238
ISBN-13:	9780521011075
ISBN-10:	0521011078
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Gibson, Chris Gibson, C. G.
Hersteller:	Cambridge University Press
Maße:	229 x 152 x 14 mm
Von/Mit:	Chris Gibson (u. a.)
Erscheinungsdatum:	09.12.2010
Gewicht:	0,393 kg