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This season of the Perseid meteor shower August 12 and the third sighting in June make our cover feature on the discovery of gravitational waves stirring and profound. Later in the issue, James Tanton tells you how to prepare for Global Math Week, coming in October. Enjoy the summer while you can.—Frank Morgan, Editor-in-Chief
This article discusses Alain Connes's visionary 1994 book Noncommutative Geometry. Appearing in the same issue "Noncommutative Geometry" (www.ams.org/notices/19970/lesniewski.pdf) by Andrew Lesniewski emphasizes the physics aspects of the subject.