Download the fantastic book titled Differential Geometry of Plane Curves written by Hilário Alencar, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Differential Geometry of Plane Curves", which was released on 27 April 2022. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of Differential Geometry of Plane Curves by Hilário Alencar PDF
This book features plane curves—the simplest objects in differential geometry—to illustrate many deep and inspiring results in the field in an elementary and accessible way. After an introduction to the basic properties of plane curves, the authors introduce a number of complex and beautiful topics, including the rotation number (with a proof of the fundamental theorem of algebra), rotation index, Jordan curve theorem, isoperimetric inequality, convex curves, curves of constant width, and the four-vertex theorem. The last chapter connects the classical with the modern by giving an introduction to the curve-shortening flow that is based on original articles but requires a minimum of previous knowledge. Over 200 figures and more than 100 exercises illustrate the beauty of plane curves and test the reader's skills. Prerequisites are courses in standard one variable calculus and analytic geometry on the plane.
Detail About Differential Geometry of Plane Curves PDF
- Author : Hilário Alencar
- Publisher : American Mathematical Society
- Genre : Mathematics
- Total Pages : 416 pages
- ISBN : 1470469596
- Release Date : 27 April 2022
- PDF File Size : 49,7 Mb
- Language : English
- Rating : 4/5 from 21 reviews
Clicking on the GET BOOK button will initiate the downloading process of Differential Geometry of Plane Curves by Hilário Alencar. This book is available in ePub and PDF format with a single click unlimited downloads.
