微分几何讲义
陈省身, 陈维桓《微分几何讲义》系统地论述了微分几何的基本知识。全书共八章并两个附录。作者以较大的篇幅,即前三章和第六章介绍了流形、多重线性函数、向量场、外微分、李群和活动标架法等基本知识和工具。在有了上述宽广而坚实的基础之后,论述微分几何的核心问题,即联络、黎曼几何以及曲面论等。第七章复流形,既是当前十分活跃的研究领域,也是第一作者研究成果卓著的领域之一,包含有作者独到的见解和简捷的方法。第八章Finsler几何是本书第二版新增的一章,它是第一作者近来提倡的研究课题,其中Chefn联络具有突出的性质,使得黎曼几何成为Finsler几何的特殊情形。最后两个附录,介绍了大范围曲线论和曲面论,以及对微分几何与理论物理关系的论述,为这两个活跃的前沿领域提出了不少进一步的研究课题。
The file will be sent to you via the Telegram messenger. It may take up to 1-5 minutes before you receive it.
Note: Make sure you have linked your account to Z-Library Telegram bot.
The file will be sent to your Kindle account. It may take up to 1–5 minutes before you receive it.
Please note: you need to verify every book you want to send to your Kindle. Check your mailbox for the verification email from Amazon Kindle.
- Send to eReaders
- Increased download limit
- File converter
- More search results
- More benefits