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Full Description
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 documented in this state-of-the-art report. Survey lectures and 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 on such fields as dynamical systems, mechanics, nonlinear analysis, complex geometry, complexity theory, nonlinear programming and algebraic geometry.
Contents
Obstruction sets, minimal rambling sets and their applications, S.T. Liao; a survey of developments of mathematics mechanization in China, W.T. Wu; critical groups, morse theory and application to semilinear elliptic BVPs, K.C. Chang; some notes on Kahler-Einstein metrics with positive scalar curvature, Gang Tian; a brief introduction to Kolmogorov complexity and its applications, P.M.B. Vitanyi; a tale of gradient projection methods in nonlinear programming, X.Y. Gui and D.Z. Du; the C1 closing lemma of 2-dimensional non-singular endomorphisms, Lan Wen; non-complete algebraic surfaces, D.Q. Zhan; using the singularity-separating method to study how to decrease the pressure at the end of a tube, X.H. Wu and Y.L. Zhu; study on reflection of shock waves, S.X. Chen.
