Ebook: A mathematician and his mathematical work : selected papers of S.S. Chern

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of contemporary developments in these areas. In particular, the following are included: nonlinear conservation laws; semilinear elliptic equations, nonlinear hyperbolic equations; nonlinear parabolic equations; singular limit problems; and analysis of exact and numerical solutions. Important areas such as numerical analysis, relaxation theory, multiphase theory, kinetic theory, combustion theory, dynamical systems and quantum field theory are also covered The Life and Mathematics of Shiing-Shen Chern / R.S. Palais and C.-L. Terng -- My Mathematical Education / S.S. Chern -- A Summary of My Scientific Life and Works / S.S. Chern -- S.S. Chern as Geometer and Friend / A. Weil -- Some Reflections on the Mathematical Contributions of S.S. Chern / P.A. Griffiths -- Shiing-Shen Chern as Friend and Mathematician / W.-L. Chow -- Abzahlungen fur Gewebe -- On Integral Geometry in Klein Spaces -- A Simple Intrinsic Proof of the Gauss-Bonnet Formula for Closed Riemannian Manifolds -- On the Curvatura Integra in a Riemannian Manifold -- Characteristic Classes of Hermitian Manifolds -- Sur une Classe Remarquable de Varietes dans l'espace Projectif a N Dimensions -- A Theorem on Orientable Surfaces in Four-Dimensional Space / S.S. Chern and E. Spanier -- On the Kinematic Formula in the Euclidean Space of N Dimensions -- On a Generalization of Kahler Geometry -- On the Total Curvature of Immersed Manifolds / S.S. Chern and R.K. Lashof