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Investigating Circles in the Poincare Disk Using Geometer's Sketchpad
College Mathematics Journal, 1994Bill Juraschek grew up in San Antonio, Texas, where he earned his B.A. and M. A. in mathematics from St. Mary's University. He received his Ph.D. in mathematics education from the University of Texas at Austin in 1974 under Ralph Cain. Since 1975 he has been at the University of Colorado at Denver where he works with preservice and inservice teachers ...
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Area-preserving Poincar� mappings of the unit disk
Celestial Mechanics, 1987Summary: The best way to investigate the long-time behaviour of dynamical systems is to introduce an appropriate Poincaré mapping P and study its iterates. Two cases of physical interest arise: Conservative and dissipative systems. While the latter has been considered by a great many authors, much less is known for the first one (according to Liouville'
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