Opening book details…
Can I read Differential Geometry of Plane Curves (Student Mathematical Library, 96) on EtoBox?
Differential Geometry of Plane Curves (Student Mathematical Library, 96) by Hilário Alencar, Walcy Santos, Gregório Silva Neto is a nonfiction available to read on EtoBox.
What is Differential Geometry of Plane Curves (Student Mathematical Library, 96) about?
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.
Who reads Differential Geometry of Plane Curves (Student Mathematical Library, 96)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Hilário Alencar, Walcy Santos, Gregório Silva Neto
- Publisher
- American Mathematical Society
- Published
- 2022
- Language
- EN
- ISBN
- 9781470469597
- Category
- nonfiction
- Subjects
- Mathematics, Geometry And Topology, Stem
Other editions & translations
More by Hilário Alencar, Walcy Santos, Gregório Silva Neto
Browse all works by Hilário Alencar, Walcy Santos, Gregório Silva Neto
