The launch of this Advanced Lectures in Mathematics series is aimed at keeping mathematicians informed of the latest developments in mathematics, as well as to aid in the learning of new mathematical topics by students all over the world. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. This series emphasizes the history and sources of motivation for the topics under discussion, and also gives an overview of the current status of research in each particular field. These volumes are the first source to which people will turn in order to learn new subjects and to discover the latest results of many cutting-edge fields in mathematics.

Front Matter
Baojun Bian and Yang Wang: Viscosity Solutions of Bellman Equations Arising in Pricing Passport Options
Kai-Seng Chou and Shi-Zhong Du: On Global Partial Regularity for Borderline Solutions of Semilinear Parabolic Problems
Bo Guan: The Dirichlet Problem for Complex Monge-Ampere Equations and Applications
Yongsheng Han and Guozhen Lu : Some Recent Works on Multiparameter Hardy Space Theory and Discrete Littlewood-Paley Analysis
Min-Chun Hong: Some Analytic Aspects of Liquid Crystal Configurations
De-Xing Kong: Extremal Sub-manifolds in Minkowski Space-time
Jun Ling and Zhiqin Lu: Bounds of Eigenvalues on Riemannian Manifolds
Yue Liu : Wave Breaking Phenomena and Stability of Peakons for the Degasperis-Procesi Equation
Xi-Nan Ma and Qianzhong Ou : The Convexity of Level Sets for Solutions to Partial Differential Equations
Xing-Bin Pan : Nucleation of Instability of Meissner State of Superconductors and Related Mathematical Problems
Yi-Bing Shen: Calculus of Some Geometric Variations in Finsler Geometry
Weimin Sheng and Xu-Jia Wang: Regularity and Singularity in the Mean Curvature Flow
Longjun Shen and Guixia Lv : Study of Finite Point Method
Jingxue Yin, Peidon9 Lei and Chunpeng Wang: Nonlinear Diffusion Equations with Different Kind of Degeneracy
Xiaohua Zhu: Canonical Metrics on Toric Manifolds
List of publications by Guangchang Dong
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数学高级讲义ALM

对研究生和研究人员来说是很好的参考书。