对于偏好数学的人，我强烈推荐 Frank Morgan 关于 Geometric Measure Theory（几何测度论）的书，本质上这就是关于肥皂泡的数学：https://www.sciencedirect.com/book/9780128044896/geometric-m...
For the mathematically inclined, I strongly recommend Frank Morgan's book on Geometric Measure Theory, which is the math of bubbles, essentially: https://www.sciencedirect.com/book/9780128044896/geometric-m...
……快速扫描以匹配手头问题的各个方面。某种程度上我这里的观察可能挺显而易见的。但我在读研时啃 Herbert Federer 写的那本《Geometric Measure Theory》时深入思考过这个问题。那本书极其厚重，到处都是错综复杂的硬核证明，需要把大量详尽的技术细节事实串联起来。那本书的结构也极其严密，……
…scan quickly for matches to various aspects of the problem at hand. Maybe to some degree my observation here is obvious. But I thought a lot about it while I was in grad school studying a book called Geometric Measure Theory by Herbert Federer. That book is enormous, and full of highly intricate technical proofs that require pulling together a large number of detailed technical facts. The book is also very highly structured,…
我不太确定“分形几何”到底指什么，虽然确实有门学科叫“geometric measure theory（几何测度论）”……这方面的权威经典著作是 Federer 写的，不过据说那是一本大部头巨著。Krantz 的《the geometry of domains in space》看起来平易近人得多。……另外，要注意这些主题并不是完全割裂的。
i'm not totally sure what 'fractal geometry' is, although there is something called 'geometric measure theory'.. the canonical text here is Federer, although it's supposedly a tome. Krantz's _the geometry of domains in space_ appears more approachable. ... also, note that these topics aren't totally separable.
对于偏好数学的人，我强烈推荐 Frank Morgan 关于 Geometric Measure Theory（几何测度论）的书，本质上这就是关于肥皂泡的数学：https://www.sciencedirect.com/book/9780128044896/geometric-m...
For the mathematically inclined, I strongly recommend Frank Morgan's book on Geometric Measure Theory, which is the math of bubbles, essentially: https://www.sciencedirect.com/book/9780128044896/geometric-m...
……快速扫描以匹配手头问题的各个方面。某种程度上我这里的观察可能挺显而易见的。但我在读研时啃 Herbert Federer 写的那本《Geometric Measure Theory》时深入思考过这个问题。那本书极其厚重，到处都是错综复杂的硬核证明，需要把大量详尽的技术细节事实串联起来。那本书的结构也极其严密，……
…scan quickly for matches to various aspects of the problem at hand. Maybe to some degree my observation here is obvious. But I thought a lot about it while I was in grad school studying a book called Geometric Measure Theory by Herbert Federer. That book is enormous, and full of highly intricate technical proofs that require pulling together a large number of detailed technical facts. The book is also very highly structured,…
我不太确定“分形几何”到底指什么，虽然确实有门学科叫“geometric measure theory（几何测度论）”……这方面的权威经典著作是 Federer 写的，不过据说那是一本大部头巨著。Krantz 的《the geometry of domains in space》看起来平易近人得多。……另外，要注意这些主题并不是完全割裂的。
i'm not totally sure what 'fractal geometry' is, although there is something called 'geometric measure theory'.. the canonical text here is Federer, although it's supposedly a tome. Krantz's _the geometry of domains in space_ appears more approachable. ... also, note that these topics aren't totally separable.