……它是值得的。我之所以喜欢这本书和这个学科，部分原因在于它刚开始感觉枯燥且机械，但只要你坚持钻研足够久，就能看到那幅优美宏大的全景图展现在眼前。John M. Lee 的《Introduction to Topological Manifolds》（拓扑流形导论）。这对我来说是另一本“在对的时间遇到的对的书”。书名虽然有点黑话行话的味道，但它对现代几何学的基础研究对象（即拓扑……）进行了严谨的介绍。
…it was worth it. Part of why I loved this book and subject is because it feels dry and mechanical at first, but if you work on it long enough you can see the beautiful bigger picture come together. _Introduction to Topological Manifolds_ by John M. Lee. This was another “right book at the right time” for me. The title is a bit jargony, but it is a rigorous introduction to the foundational objects of modern geometry (namely topological…
……实分析课程，并且理解欧氏空间的度量空间拓扑。如果你学过微积分，可以尝试啃一下 Baby Rudin。至于专门的拓扑学，你可以看 Munkres 或者 J Lee 的《Introduction to Topological Manifolds》。> 测度论：陶哲轩关于这个主题写过一本好书。> 微分几何：J Lee 的《Introduction to Smooth Manifolds》 > 概率论：Achim Klenke 的《Probability Theory》 > 博弈论：Game Theory……
…real analysis course and understand metric space topology for Euclidean spaces. If you have taken calculus, you can try and go through Baby Rudin. For topology specifically you can look into Munkres or Introduction to Topological Manifolds, J Lee. > Measure Theory T. Tao has a good book on this topic. > Differential Geometry Introduction to Smooth Manifolds by J Lee > Probability Probability Theory, Achim Klenke > Game Theory Game Theory…
……它是值得的。我之所以喜欢这本书和这个学科，部分原因在于它刚开始感觉枯燥且机械，但只要你坚持钻研足够久，就能看到那幅优美宏大的全景图展现在眼前。John M. Lee 的《Introduction to Topological Manifolds》（拓扑流形导论）。这对我来说是另一本“在对的时间遇到的对的书”。书名虽然有点黑话行话的味道，但它对现代几何学的基础研究对象（即拓扑……）进行了严谨的介绍。
…it was worth it. Part of why I loved this book and subject is because it feels dry and mechanical at first, but if you work on it long enough you can see the beautiful bigger picture come together. _Introduction to Topological Manifolds_ by John M. Lee. This was another “right book at the right time” for me. The title is a bit jargony, but it is a rigorous introduction to the foundational objects of modern geometry (namely topological…
……实分析课程，并且理解欧氏空间的度量空间拓扑。如果你学过微积分，可以尝试啃一下 Baby Rudin。至于专门的拓扑学，你可以看 Munkres 或者 J Lee 的《Introduction to Topological Manifolds》。> 测度论：陶哲轩关于这个主题写过一本好书。> 微分几何：J Lee 的《Introduction to Smooth Manifolds》 > 概率论：Achim Klenke 的《Probability Theory》 > 博弈论：Game Theory……
…real analysis course and understand metric space topology for Euclidean spaces. If you have taken calculus, you can try and go through Baby Rudin. For topology specifically you can look into Munkres or Introduction to Topological Manifolds, J Lee. > Measure Theory T. Tao has a good book on this topic. > Differential Geometry Introduction to Smooth Manifolds by J Lee > Probability Probability Theory, Achim Klenke > Game Theory Game Theory…