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4.3
98 reviews本书有两个目标:详细阐述长度空间理论中使用的基本概念和技巧,以及为大量不同的几何论题提供一个初等导引,这些论题都与距离观念相关,包括黎曼度量和Carnot-Carathéodory度量、双曲平面、距离一体积不等式,(大规模的、粗糙的)渐近几何、Gromov双曲空间、度量空间的收敛性以及Alexandrov空间(非正和非负的弯曲空间)。作者倾向于用“易于看见”的方法来处理“易于触碰”的数学对象。
作者设定了一个具有挑战性的目标,即让本书的核心部分能为一年级研究生所接受。大多数新的概念和方法都按最简单的情形来提出并阐明,从而避免了技术性的障碍。书中还包括大量习题,这些习题是本书至关重要的一部分。