Inversive Geometry - Couverture souple

Morley, Frank; Marchenko, V. A..

 
9780486493398: Inversive Geometry

Synopsis

New York, Dover Publications 2014, cm.14x21, pp.273, brossura copertina figurata This introduction to algebraic geometry makes particular reference to the operation of inversion and is suitable for advanced undergraduates and graduate students of mathematics. One of the major contributions to the relatively small literature on inversive geometry, the text illustrates the field's applications to comparatively elementary and practical questions and offers a solid foundation for more advanced courses.The two-part treatment begins with the applications of numbers to Euclid's planar geometry, covering inversions; quadratics; the inversive group of the plane; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; the celestial sphere; flow; and differential geometry. The second part addresses the line and the circle; regular polygons; motions; the triangle; invariants under homologies; rational curves; conics; the cardioid and the deltoid; Cremona transformations; and the n-line

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Autres éditions populaires du même titre

9781013376184: Inversive Geometry

Edition présentée

ISBN 10 :  1013376188 ISBN 13 :  9781013376184
Editeur : Hassell Street Press, 2021
Couverture rigide