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In recognition of professor Shiing-shen Chern's long and distinguished service to mathematics and to the University of California, the geometers at Berkely held an International Symposium in Global Analysis and Global Geometry in his honor at Berkely in June 1979. The outgrowth of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern's total output up to 1979. Later, a fourth volume was published, focusing on papers written during the Eighties. This first volume comprises selected papers written from 1932 until 1975. In making the selections, Professor Chern has given preference to shorter and less accessible papers.