从中国乡村的贫穷少年，到震动世界的“数学皇帝”，他走过了怎样的人生之路？

复杂又迷人的卡拉比猜想，巍峨而艰险的几何之巅，他如何不断挑战人类智慧极限？

从几何学到量子力学，从汉赋唐诗宋词元曲到明清小说，他如何畅意遨游文理世界？

为发展中国基础科学教育，关注和支持青年学子的成长成才，他付出了多少艰辛和心血？

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宇宙的密码，也许就刻在卡拉比—丘空间的几何之中。

——美国物理学家、《宇宙的琴弦》作者 布莱恩·格林（Brian Greene）

在哈佛，丘成桐一个人就是一个数学系！

——美国数学家、阿贝尔奖获得者 艾沙道尔·辛格（Isadore Singer）

丘成桐是近四分之一 世纪里最有影响的数学家。

——英国数学家、菲尔兹奖获得者 西蒙·唐纳森（Simon Donaldson）

丘成桐的故事就是展示中国的一个窗口。通过他，我们可以看到一个有着五千年文明历史的国家，正努力与现代科学结合在一起。如果这种结合获得成功，最终将重塑世界科技的平衡。

——《数学皇帝》，《纽约时报》丘成桐人物专稿

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本书讲述了丘成桐从一个中国乡村的贫穷少年成长为一名举世闻名的顶级数学家的励志故事。困顿清苦的童年，艰苦卓绝的异国求学路，初入数学界的一鸣惊人，名声大噪后的风起云涌，对中国基础科学建设的拳拳之心……攀登科学高峰，拨开浮华迷雾，丘成桐直面盛誉、无惧挑战，讲述触动人心的传奇人生。

《基础几何学》分为八章，讲解了连结、分隔与对称－－定性平面几何；平面性与定量平面几何基础理论；圆与三角学；空间中的平行与垂直；向量几何和向量代数；坐标解析几何简介；球面几何和球面三角学；圆锥截线的故事内容。

Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity. With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of the book. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. ... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." Mathematical Reviews "...the material ... is self-contained. Each chapter ends with a set of exercises. Most of the paragraphs have a section ‘Perspectives’, written with the aim to place the material in a broader context and explain further results and directions." Zentralblatt MATH