000			a
999			_c29724 _d29724
008			191119b xxu||||| |||| 00| 0 eng d
020			_a9781584881667
082			_a516.352 _bRUT
100			_aRutter, John W.
245			_aGeometry of curves
260			_aBoca Raton _bChapman and Hall/CRC _c2000
300			_axvii, 361 p. _bill. _c24cm.
365			_b58.99 _cGBP _d93.50
490			_aChapman &​ Hall/​CRC mathematics
504			_aIncludes bibliographical references and index.
520			_a"Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the subject's more exciting aspects require a somewhat advanced mathematics background. For the "fun stuff" to be accessible, we need to offer students an introduction with modest prerequisites, one that stimulates their interest and focuses on problem solving. Integrating parametric, algebraic, and projective curves into a single text, Geometry of Curves offers students a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. The author begins with the basics, then takes students on a fascinating journey from conics, higher algebraic and transcendental curves, through the properties of parametric curves, the classification of limaçons, envelopes, and finally to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. The uniqueness of this treatment lies in its integration of the different types of curves, its use of analytic methods, and its generous number of examples, exercises, and illustrations. The result is a practical text, almost entirely self-contained, that not only imparts a deeper understanding of the theory, but inspires a heightened appreciation of geometry and interest in more advanced studies."--Provided by publisher.
650			_aCourbes planes
650			_aCurves, Plane
650			_aMathematics Geometry
650			_aParameters, tangents and normal
650			_ainflexions and undulations
650			_aCusps and non-regular points
650			_aCurvature
650			_aParallels and involutes
942			_2ddc _cBK