1. Mathematical Analysis
2. Advanced Algebra
3. complex function
4. The real variable function
5. Differential Geometry
(1) "Foundations of differential geometry" (Foundations of differential geometry) ((Japan) Shoshichi Kobayashi wild water Katsumi (Kobayashi S, Nomizu K)), 2 vols, scientific publishers have for the Chinese Version of Volume 1, 2010.
By two Japanese mathematicians Shoshichi Kobayashi (University of California, Berkeley professor) and wild water self-denial (Brown University professor) co-authored this two volume set Foundations of Defferential Geometry is a prestigious classics of modern differential geometry. Volume-based part of the second volume is in-depth study of several topics. This book is the first volume of the translation. The book systematically summarizes the main results at the end of the 1960s geometric study of differential reflects the frontier conditions and trends at the time of the study of differential geometry, the second end of the volume gives up to 68 bibliography. The book in the history of differential geometry have a broad and profound impact on many later differential geometry monographs and textbooks almost regarded it as a major reference book.
"What are the three conditions for Knott ring is equivalent" "Please calculate the scene torus T2 homology groups"