Differential Geometry of Curves and Surfaces

ISBN-10: 1568814569
ISBN-13: 9781568814568
Edition: 2010
List price: $59.95
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Description: 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,  More...

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Book details

List price: $59.95
Copyright year: 2010
Publisher: A K Peters, Limited
Publication date: 3/1/2010
Binding: Mixed Media
Pages: 352
Size: 7.75" wide x 9.25" long x 0.75" tall
Weight: 1.892
Language: English

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.

Thomas Banchoff is Director of the Berkley Center for Religion, Peace, and World Affairs and Professor in the Department of Government and School of Foreign Service at Georgetown University. He is the author of The German Problem Transformed: Institutions, Politics, and Foreign Policy, 1945-1995 , editor of Religious Pluralism, Globalization, and World Politics and Democracy and the New Religious Pluralism , and coeditor of Religion and the Global Politics of Human Rights and Legitimacy and the European Union: The Contested Polity .

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