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Cover: 9780521834483 | Elementary Euclidean Geometry | An Introduction | Gibson | Buch | 2012
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Elementary Euclidean Geometry
An Introduction
Buch von Christopher G. Gibson
Sprache: Englisch

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Beschreibung
This introduction to the geometry of lines and conics in the Euclidean plane is example-based and self-contained, assuming only a basic grounding in linear algebra. Including numerous illustrations and several hundred worked examples and exercises, the book is ideal for use as a course text for undergraduates in mathematics, or for postgraduates in the engineering and physical sciences.
This introduction to the geometry of lines and conics in the Euclidean plane is example-based and self-contained, assuming only a basic grounding in linear algebra. Including numerous illustrations and several hundred worked examples and exercises, the book is ideal for use as a course text for undergraduates in mathematics, or for postgraduates in the engineering and physical sciences.
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' (published by Springer Verlag) 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. Points and lines; 2. The Euclidean plane; 3. Circles; 4. General conics; 5. Centres of general conics; 6. Degenerate conics; 7. Axes and asymptotes; 8. Focus and directrix; 9. Tangents and normals; 10. The parabola; 11. The ellipse; 12. The hyperbola; 13. Pole and polar; 14. Congruences; 15. Classifying conics; 16. Distinguishing conics; 17. Uniqueness and invariance.
Details
Erscheinungsjahr: 2012
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521834483
ISBN-10: 0521834481
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Gibson, Christopher G.
Hersteller: Cambridge University Press
Maße: 235 x 157 x 15 mm
Von/Mit: Christopher G. Gibson
Erscheinungsdatum: 14.08.2012
Gewicht: 0,437 kg
Artikel-ID: 102499715
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' (published by Springer Verlag) 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. Points and lines; 2. The Euclidean plane; 3. Circles; 4. General conics; 5. Centres of general conics; 6. Degenerate conics; 7. Axes and asymptotes; 8. Focus and directrix; 9. Tangents and normals; 10. The parabola; 11. The ellipse; 12. The hyperbola; 13. Pole and polar; 14. Congruences; 15. Classifying conics; 16. Distinguishing conics; 17. Uniqueness and invariance.
Details
Erscheinungsjahr: 2012
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521834483
ISBN-10: 0521834481
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Gibson, Christopher G.
Hersteller: Cambridge University Press
Maße: 235 x 157 x 15 mm
Von/Mit: Christopher G. Gibson
Erscheinungsdatum: 14.08.2012
Gewicht: 0,437 kg
Artikel-ID: 102499715
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