{"product_id":"modern-differential-geometry-of-curves-and-surfaces-with-mathematica","title":"Modern Differential Geometry of Curves and Surfaces with Mathematica","description":"\u003cp\u003ePresenting theory while using \u003ci\u003eMathematica\u003c\/i\u003e in a complementary way, \u003cb\u003eModern Differential Geometry of Curves and Surfaces with Mathematica, \u003c\/b\u003ethe third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using \u003ci\u003eMathematica\u003c\/i\u003e for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the \u003ci\u003eMathematica\u003c\/i\u003e code and added a \u003ci\u003eMathematica\u003c\/i\u003e notebook as an appendix to each chapter. They also address important new topics, such as quaternions.\u003c\/p\u003e\u003cp\u003eThe approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but \u003ci\u003eMathematica \u003c\/i\u003ehandles it easily, either through computations or through graphing curvature. Another part of \u003ci\u003eMathematica\u003c\/i\u003e that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. \u003c\/p\u003e\u003cp\u003eUsing the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use \u003ci\u003eMathematica\u003c\/i\u003e to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54258285248856,"sku":"9781584884484","price":192.2,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781584884484.jpg?v=1777651227","url":"https:\/\/agendabookshop.com\/products\/modern-differential-geometry-of-curves-and-surfaces-with-mathematica","provider":"Agenda Bookshop","version":"1.0","type":"link"}