微分几何的第一次冒险：初学者的友好指南
This book serves as a friendly stepping stone for readers who wish to start learning differential geometry. It lays down the most essential foundations, ensuring that readers feel prepared to tackle more advanced concepts in the future. Differential geometry is often perceived or presented as a myriad of seemingly disjointed ideas to beginners. This book bridges those gaps by following the story of a character named Beng, along with his friends, as they journey to master differential geometry. Starting with the basics in Euclidean space, the book offers an accessible entry point into understanding geometry. It then progresses to curved surfaces and intrinsic geometry, culminating in a quintessential application of Ricci curvature. Readers will explore the Einstein equation and work through the Schwarzschild solution, ultimately calculating the event horizon for a non-rotating black hole.
英文|2025 |ISBN:9811296170|225页|PDF（正确）|5 MB 对于希望开始学习微分几何的读者来说，这本书是一个友好的垫脚石。它奠定了最重要的基础，确保读者为未来处理更高级的概念做好准备。微分几何通常被初学者视为或呈现为无数看似脱节的想法。这本书通过讲述一个名叫Beng的角色和他的朋友们在掌握微分几何的过程中的故事来弥合这些差距。从欧几里德空间的基础知识开始，这本书为理解几何提供了一个可访问的切入点。然后，它发展到曲面和内在几何，最终达到里奇曲率的典型应用。读者将探索爱因斯坦方程，并求解史瓦西解，最终计算非旋转黑洞的事件视界。本站不对文件进行储存，仅提供文件链接，请自行下载，本站不对文件内容负责，请自行判断文件是否安全，如发现文件有侵权行为，请联系管理员删除。
Flux - Jinwoo Chong
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