Chinese Mathematics into the 21st Century [Hardcover] Cheng, Min-De; Wu, Wen Tsun and Wu, W.T.

In 1988 a conference on CHINESE MATHEMATICS INTO THE 21st CENTURY was held in Nankai. The proceedings that resulted from this conference aim at presenting a comprehensive picture of Chinese mathematics' most current developments and future research directions. The advances being made by Chinese mathematicians both inside and outside China are impressivelydocumented in this unique state-of-the-art report. Excellent survey lecturesand research papers present the most important feature of this volume and permit the reader to gain an insight into Chinese Mathematics at its best.This volume may serve as a compact reference work to recent advances onsuch fields as dynamical systems, mechanics, nonlinear analysis, complex geometry, complexity theory, nonlinear programming and algebraic geometry toname but a few. Special mention deserve the following articles that willbe of particular interest to the reader: Liao Shantao: Ob- struction Sets, Minimal Rambling Sets and Their Applications ; Wu Wen-tsun: A Survey of Developments of Mathematics Mechanization in China; Chang Kung-ching: Critical Groups, Morse Theory and Application to Semilinear Elliptic BVPs; Gang Tian: Some Notes on K{hler-Einstein Metrics with Positive Scalar Curvature; Ming Li/Paul M.B. Vitanyi: A Brief Introduction to Kolmogorov Complexity and Its Applications; Xiang-Yun Gui/Ding-Zhu Du: A Tale of Gradient Projection Methods in Nonlinear Programming; Lan Wen: The C1 Closing Lemma of 2-dimensional Non-singular Endomorphisms; De-Qi Zhan: Non-complete Algebraic Surfaces; Xionghua Wu/Youlan Zhu: Using the Singularity-Separating Method to Study How to Decrease the Pressure at the End of a Tube;Chen Shuxing: Study on Reflection of Shock Waves.