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关键词:
Elementary Differential Geometry
书目信息
ISBN:
9781852331528(13位)
中图分类号:
O1
杜威分类号:
中文译名:
初等微分几何
作者:
Pressley
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2001
版本:
1st ed. 2001. Corr. 2nd printing
版本类型:
原版
丛书题名:
Springer Undergraduate Mathematics Series
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
16Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates. Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there. 04From the contents:- 1. Curves in the Plane and in Space- 2. How much does a Curve Curve?- 3. Global Properties of Curves- 4. Surfaces in Three Dimensions- 5. The First Fundamental Form- 6. Curvature of Surfaces- 7. Gaussian Curvature and the Gauss Map- 8. Geodesics- 9. Minimal Surfaces- 10. Gauss's Theorema Egregium- 11. The Gauss-Bonnet Theorem- Solutions- Index
目次:
1. Curves in the Plane and in Space.- 2. How much does a Curve Curve?- 3. Global Properties of Curves.- 4. Surfaces in Three Dimensions.- 5. The First Fundamental Form.- 6. Curvature of Surfaces.- 7. Gaussian Curvature and the Gauss Map.- 8. Geodesics.- 9. Minimal Surfaces.- 10. Gauss's Theorema Egregium.- 11. The Gauss-Bonnet Theorem.- Solutions.- Index.
附录:
全文链接:
读者对象:
undergrad.
实体信息
页码:
装帧:
soft
尺寸:
其它形态细节:
其它信息
原价:
EUR
36.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
1852331526
issue:
2006JC01
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