Discrete differential geometry integrable structure alexander i bobenko yuri b suris american mathematical society providence rhode island graduate studies in mathematics volume 98 editorial board david cox chair steven g krantz rafe mazzeo martin scharlemann 2000 mathematics subject classification primary 53 01 53 02 secondary 51axx 51bxx 53axx 37kxx 39a12 52c26 for . Whereas classical differential geometry investigates smooth geometric shapes such as surfaces and discrete geometry studies geometric shapes with finite number of elements such as polyhedra the discrete differential geometry aims at the development of discrete equivalents of notions and methods of smooth surface theory. Graduate students and research mathematicians interested in discrete differential geometry and its applications reviews endorsements this book gives new life to old concepts of classical differential geometry and a beautiful introduction to new notions of discrete integrable systems. When applying to a phd program in discrete mathematics students will need to submit undergraduate and or graduate transcripts gre scores letters of recommendation a completed application. Discrete differential geometry research our research group focuses on discrete models of classical differential geometry in particular parametrized surfaces and curvature applications can be found in the areas such as architectural geometry integrable systems in mathematical physics computer graphics and geometry processing activities research network minimal surfaces integrable
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