Geometry of Curves

"Geometry of Curves" by J.W. Rutter is a comprehensive exploration of the intricate world of curves in mathematics. Published by Taylor & Francis Inc in 2000, this paperback edition spans 380 pages, making it an essential resource for anyone interested in algebraic and analytic geometry. This book seamlessly integrates parametric, algebraic, and projective curves, covering a wide array of topics including conics, higher algebraic and transcendental curves, and the properties of parametric curves. Readers will delve into the classification of limacons, envelopes, and projective curves, while also discovering their vital connections to algebraic curves and their applications in asymptotes and boundedness. Whether you are a student, educator, or mathematics enthusiast, "Geometry of Curves" offers a rich and engaging perspective on the geometric principles that shape our understanding of the mathematical universe.