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an introduction to be the theory of canonical matrices turnbull-matrices.djvu

华罗庚极力推荐的一本书 Thorough and self-contained, this penetrating study of the theory of canonical matrices presents a detailed consideration of all the theory’s principal features. Topics include elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. The final chapters explore several methods of canonical reduction, including those of unitary and orthogonal transformations

2010-09-08

高等几何 周兴和 科学出版社

“周兴和教授编著的‘高等几何’教材,2003年已在科学出版社出版,并已于2006年入选国家十一五规划教材,今年将出第二版。与此教材相应的课程‘高等几何’已在南京师范大学讲授了二十多年,取得了丰富的教学经验和显著的教学效果。”“教材及相应的课程强调了几何学在大学数学教育中的重要性,对当今国内大学教育中相当普遍忽视几何学教学的偏向是一个很好的纠正及切实的加强,不仅其大方向值得提倡,而且其对内容安排及取舍也颇具匠心及特色,相应的网络课程也已建成并投入使用,且已于2006年被评为江苏省精品课程

2010-05-04

Discrete Differential Geometry an Applied Introduction

This course introduces the student to the ideas of discrete differential geometry, geometric modeling, and physical simulation. The student will learn about continuous and discrete differential geometric operators, and apply this knowledge to build their own mesh smoother (using discrete mean and Gaussian curvature), cloth- and thin-shell simulator (using a discrete Shape Operator), remesher (using a discrete Laplacian), and fluid flow visualizer (using Discrete Exterior Calculus and Hodge Decomposition). Some students will complete an independent project, involving math and/or programming, combined with a reduced assignment load. To find out more, refer to the syllabus. To learn about the software libraries that we will use, refer to our resources page. http://groups.google.com/group/ddg2007

2009-09-01

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