James Munkres
Template:Short description James Raymond Munkres (born Script error: No such module "age".Script error: No such module "Check for unknown parameters".) is a Professor Emeritus of mathematics at MIT[1] and the author of several texts in the area of topology, including Topology (an undergraduate-level text), Analysis on Manifolds, Elements of Algebraic Topology, and Elementary Differential Topology. He is also the author of Elementary Linear Algebra.
Munkres completed his undergraduate education at Nebraska Wesleyan University[2] and received his Ph.D. from the University of Michigan in 1956; his advisor was Edwin E. Moise. Earlier in his career he taught at the University of Michigan and at Princeton University.[2]
Among Munkres' contributions to mathematics is the development of what is sometimes called the Munkres assignment algorithm. A significant contribution in topology is his obstruction theory for the smoothing of homeomorphisms.[3][4] These developments establish a connection between the John Milnor groups of differentiable structures on spheres and the smoothing methods of classical analysis.
He was elected to the 2018 class of fellows of the American Mathematical Society.[5]
Textbooks
References
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- ↑ Script error: No such module "citation/CS1".
- ↑ a b Mathematics Template:Webarchive, The Tech, Volume 119, Issue 33, August 27, 1999
- ↑ Obstructions to the smoothing of piecewise-differentiable homeomorphisms, Ann. of Math., vol. 72 (1960)
- ↑ F. Wesley Wilson Jr., Pasting diffeomorphisms of Rn, Illinois J. Math., 16, 222-233 (1972)
- ↑ Script error: No such module "citation/CS1".
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External links
- Pages with script errors
- 20th-century American mathematicians
- 21st-century American mathematicians
- American textbook writers
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- American topologists
- Nebraska Wesleyan University alumni
- University of Michigan alumni
- University of Michigan faculty
- Princeton University faculty
- Massachusetts Institute of Technology School of Science faculty
- Living people
- 1930 births
- Fellows of the American Mathematical Society