James Raymond Munkres (born August 18, 1930) is an American mathematician and academic who is professor emeritus of mathematics atMIT[1] and the author of several texts in the area oftopology, includingTopology (an undergraduate-level text),Analysis on Manifolds,Elements of Algebraic Topology, andElementary Differential Topology. He is also the author ofElementary Linear Algebra.
Munkres completed his undergraduate education atNebraska Wesleyan University[2] and received hisPh.D. from theUniversity of Michigan in 1956; his advisor wasEdwin E. Moise. Earlier in his career he taught at theUniversity of Michigan and atPrinceton University.[2]
Among Munkres' contributions to mathematics is the development of what is sometimes called theMunkres assignment algorithm. A significant contribution in topology is his obstruction theory for the smoothing of homeomorphisms.[3][4] These developments establish a connection between theJohn Milnor groups of differentiable structures on spheres and the smoothing methods of classical analysis.
He was elected to the 2018 class offellows of theAmerican Mathematical Society.[5]
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