Publisher's Synopsis
In 1988 a conference on CHINESE MATHEMATICS INTO THE 21stCENTURY was held in Nankai. The proceedings that resultedfrom this conference aim at presenting a comprehensivepicture of Chinese mathematics' most current developmentsand future research directions. The advances being made byChinese mathematicians both inside and outside China areimpressivelydocumented in this unique state-of-the-artreport. Excellent survey lecturesand research paperspresent the most important feature of this volume and permitthe reader to gain an insight into Chinese Mathematics atits best.This volume may serve as a compact reference workto recent advances onsuch fields as dynamical systems,mechanics, nonlinear analysis, complex geometry, complexitytheory, nonlinear programming and algebraic geometry tonamebut a few.Special mention deserve the following articles that willbeof particular interest to the reader: Liao Shantao: Ob-struction Sets, Minimal Rambling Sets and Their Applications; Wu Wen-tsun: A Survey of Developments of MathematicsMechanization in China; Chang Kung-ching: Critical Groups,Morse Theory and Application to Semilinear Elliptic BVPs;Gang Tian: Some Notes on K{hler-Einstein Metrics withPositive Scalar Curvature; Ming Li/Paul M.B. Vitanyi: ABrief Introduction to Kolmogorov Complexity and ItsApplications; Xiang-Yun Gui/Ding-Zhu Du: A Tale of GradientProjection Methods in Nonlinear Programming; Lan Wen: The C1Closing Lemma of 2-dimensional Non-singular Endomorphisms;De-Qi Zhan: Non-complete Algebraic Surfaces; XionghuaWu/Youlan Zhu: Using the Singularity-Separating Method toStudy How to Decrease the Pressure at the End of a Tube;ChenShuxing: Study on Reflection of Shock Waves.
