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A Simple Proof of the Uniform Continuity of Real-Valued Continuous Functions on Compact Intervals

DAVID PENGELLEY is professor emeritus at New Mexico State University. His research is in algebraic topology and history of mathematics. He develops the pedagogies of teaching with student projects and with primary historical sources and created a graduate course on the role of history in teaching mathematics. He relies on student reading, writing, and mathematical preparation before class to enable active student work to replace lecture. He has received the MAA’s Haimo teaching award, loves backpacking and the wilderness, is active on environmental issues, and has become a fanatical badminton player. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003 davidp@nmsu.edu