{"product_id":"differential-geometry-of-plane-curves-9781470469597","title":"Differential Geometry of Plane Curves","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFeatures plane curves 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, rotation index, Jordan curve theorem, and isoperimetric inequality.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePlane curves\u003c\/li\u003e\n\u003cli\u003eWinding number\u003c\/li\u003e\n\u003cli\u003eRotation index\u003c\/li\u003e\n\u003cli\u003eJordan curve theorem\u003c\/li\u003e\n\u003cli\u003eIsoperimetric inequality\u003c\/li\u003e\n\u003cli\u003eConvex curves\u003c\/li\u003e\n\u003cli\u003eThe four-vertex theorem\u003c\/li\u003e\n\u003cli\u003eCurve-shortening flow\u003c\/li\u003e\n\u003cli\u003eAppendix A: The class $\\mathcal{C}^\\infty$ convergence of the curvature function under the curve-shortening flow\u003c\/li\u003e\n\u003cli\u003eAppendix B: Answers to selected exercises\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":49083993981271,"sku":"9781470469597","price":46.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470469597.jpg?v=1725550703","url":"https:\/\/bookcurl.com\/products\/differential-geometry-of-plane-curves-9781470469597","provider":"Book Curl","version":"1.0","type":"link"}