Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces pdf epub mobi txt 電子書 下載2025

出版者:
作者:Thomas Banchoff
出品人:
頁數:352
译者:
出版時間:2010-3
價格:0
裝幀:
isbn號碼:9781568814568
叢書系列:
圖書標籤:
  • 微分幾何 
  • the_magic_whip 
  • geometry 
  • Geometry 
  • Differential 
  •  
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Differential geometry is a major field of mathematics that uses tools from calculus, in particular integrals and derivatives, to study problems in geometry. Differential geometry has applications in several fields, including physics, economics, engineering, and computer vision. This book focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties observed at a point on the curve or surface) or global properties (the properties of the object as a whole). Some of the more interesting theorems look at how local properties relate to global ones. A special feature is the availability of accompanying online interactive java applets coordinated with each section. The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena. Each section includes numerous interesting exercises that range from straightforward to challenging.

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