微分幾何：理論與應用（英文版）

　　This book gives the basic notions of differential geometry，such as the metric tensor， the Riemann curvature tensor，the fundamental forms of a surface， covariant derivatives，and the fundamental theorem of surface theory in a self-contained and accessible manner. Although the field is often considered a "classical" one， it has recently been rejuvenated， thanks to the manifold applications where it plays an essential role. The book presents some important applications to shells，such as the theory of linearly and nonlinearly elastic shells， the implementation of numerical methods for shells， and mesh generation in finite element methods. This volume will be very useful to graduate students and researchers in pure and applied mathematics.

　　李大潛，數(shù)學家。江蘇南通人。1957年畢業(yè)于復旦大學數(shù)學系，1966年該校在職研究生畢業(yè)。1997年當選為第三世界科學院院士。復旦大學教授。中國工業(yè)與應用數(shù)學學會理事長，中國數(shù)學會副理事長，中法應用數(shù)學研究所所長。對一般形式的二自變數(shù)擬線性雙曲型方程組的自由邊界問題和間斷解的系統(tǒng)研究，以及對非線性波動方程經(jīng)典解的整體存在性及生命跨度的完整結(jié)果，均處于國際領先地位，得到國際上的高度評價。在理論研究的基礎上，對各種電阻率測井建立了統(tǒng)一的數(shù)學模型和方法，并成功地在國內(nèi)10多個油田推廣使用。1995年當選為中國科學院院士。