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This book originated in the idea that open problems act as crystallization points in mathematical research. Mathematical books usually deal with fully developed theories. But this volume presents work at an earlier stage - when challenging questions can give new directions to mathematical research.

Presents a selection of work based upon lectures given by distinguished mathematicians at the Yau Mathematical Sciences Center at Tsinghua University, and at the Tsinghua Sanya International Mathematics Forum.

A two-volume set comprising the Proceedings of the Seventh Congress of Chinese Mathematicians. It presents four Morningside Lectures, 16 Plenary Lectures, and 31 Invited Lectures - all dealing with the latest developments in mathematics. This is an important reference for researchers in all fields of mathematics.

Complex geometry has been extensively studied and developed since the 19th century. This volume examines the subject from a global, historical perspective. It begins with an essay on the historical development of complex geometry, concludes with a set of commentaries written by Yau on the broad subject of complex geometry and its applications.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.

This volume consists of survey papers and introductions pertaining to Hodge theory, variation of Hodge structures, L(2)-methods in complex analysis and geometry, and related results in algebraic geometry. Contributors include some of the world's leading experts: Ayoub, Bierstone, Griffiths, M. Green, Hain, and Ohsawa.

The International Congress of Chinese Mathematicians (ICCM) is an important event among the large international community of mathematicians of Chinese descent. Proceedings of the Sixth International Congress of Chinese Mathematicians presents the plenary talks and more than 60 invited talks from the Congress, reflecting the latest developments in mathematics.

Comprising volumes 28 and 29 of the ALM series, this outstanding collection presents all the survey papers of Shing-Tung Yau published to date (through 2013), each with Yau's own commentary. Among these are several papers not otherwise easily accessible. Also presented are several commentaries on Yau's work written by outstanding scholars from around the world.

Presents thorough introductions to the theoretical foundations - as well as to the practical algorithms - of computational conformal geometry. These have direct applications to engineering and digital geometric processing, including surface parameterization, surface matching, brain mapping, 3-D face recognition, facial expression and animation, dynamic face tracking, and more.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31 and 32 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.

Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31 and 32 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.

Presents introductions and survey papers treating some of the important topics in geometric analysis, with their applications to related fields. This work is suitable for graduate students and by researchers in related areas.

Presents lectures from the important String Theory International Conference held in 2002 in Hangzhou, China. This work includes talks given by several mathematicians of particular prominence in the field, among them Stephen Hawking and Edward Witten.

Introduces readers to some of the topics of research in the geometry of polyhedral surfaces, with applications to computer graphics. This work provides an introduction to the geometry of polyhedral surfaces based on the variational principle.