Yong Du,Yingbiao Peng,Peng Zhou,Yafei Pan,Weibin Zhang,Cong Zhang,Kaiming Cheng,Kai Li,Han Li,Haixia Tian,Yue Qiu,Peng Deng,Na Li,Chong Chen,Yaru Wang,Yi Kong,Li Chen,Jianzhan Long,Wen Xie,Guanghua Wen,Shequan Wang,Zhongjian Zhang,Tao Xunear inequalities, the geometry of polyhedra, the topology of convex sets, and the analysis of convex functions. It is the goal of this volume to provide a synopsis of these topics, and thereby the theoretical back ground for the arithmetic of convex optimization to be treated in a sub sequent vol |