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Differential Geometry of Plane Curves (Student Mathematical Library, 96)

Unknown Author
4.9/5 (24342 ratings)
Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Differential Geometry of Plane Curves (Student Mathematical Library, 96). To get started finding Differential Geometry of Plane Curves (Student Mathematical Library, 96), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
416
Format
PDF, EPUB & Kindle Edition
Publisher
American Mathematical Society
Release
ISBN
1470469596

Differential Geometry of Plane Curves (Student Mathematical Library, 96)

Unknown Author
4.4/5 (1290744 ratings)
Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Differential Geometry of Plane Curves (Student Mathematical Library, 96). To get started finding Differential Geometry of Plane Curves (Student Mathematical Library, 96), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
416
Format
PDF, EPUB & Kindle Edition
Publisher
American Mathematical Society
Release
ISBN
1470469596
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