而这本 Elementary Differential Geometry深入浅出地介绍了微分几何的基本概念、方法和应用,适合初学者阅读。全书结构清晰,论述严谨,实例丰富,旨在引导读者逐步掌握微分几何的核心内容。通过学习这本书,读者将对微分几何有更深刻的认识,为进一步研究微分几...
An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys the theoretical and practical importance of the different...
1 Elementary Differential Geometry 【作者】:Christian Bär 【出版物信息】:Cambridge University Press 【简介】:The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary int...
【简介】:The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical...
Synthetic Geometry of Manifolds byAnders Kock-University of Aarhus,2009 This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geome...
Geometry of Spirals* Space Curves Surfaces: What Exactly is a "Surface"? The First Fundamental Form The Second Fundamental Form Principal and Asymptotic Directions Geodesics and the Gauss-Bonnet Theorem Proof of the Gauss-Bonnet Theorem* Surfaces From the Viewpoint of Manifolds*: ...
These five packages are intended to be a reliable basis for future developing applications of Mathematica to differential geometry.Rolf Sulanke
Elementary Differential Geometry Textbook © 2010 Latest edition Overview Authors: Andrew Pressley A revised and expanded second edition which presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Includes supplementary material: sn....
The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills ...
This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8–10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application...