James Munkres
Encyclopedia
James Raymond Munkres is a Professor Emeritus of mathematics
at MIT
and the author of several texts in the area of topology
, including Topology (a well-known undergraduate-level text), Analysis on Manifolds, Elements of Algebraic Topology, and Elementary Differential Topology. He is also the author of Elementary Linear Algebra.
He completed his undergraduate education at Nebraska Wesleyan University
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
.
Among his contributions to mathematics is the development of what is sometimes called the Munkres assignment algorithm
.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
at MIT
Massachusetts Institute of Technology
The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...
and the author of several texts in the area of topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, including Topology (a well-known undergraduate-level text), Analysis on Manifolds, Elements of Algebraic Topology, and Elementary Differential Topology. He is also the author of Elementary Linear Algebra.
He completed his undergraduate education at Nebraska Wesleyan University
Nebraska Wesleyan University
Nebraska Wesleyan University is a private, coeducational university located in Lincoln, Nebraska. It was founded in 1887 by Nebraska Methodists. As of 2007, it has 1,600 full-time students and 300 faculty and staff. The school teaches in the tradition of a liberal arts college education....
and received his Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
from the University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
in 1956; his advisor was Edwin E. Moise
Edwin E. Moise
Edwin Evariste Moise was an American mathematician and mathematics education reformer. After his retirement from mathematics he became a literary critic of 19th century English poetry and had several notes published in that field.-Early life and education:...
. Earlier in his career he taught at the University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
and at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
.
Among his contributions to mathematics is the development of what is sometimes called the Munkres assignment algorithm
Hungarian algorithm
The Hungarian method is a combinatorial optimization algorithm which solves the assignment problem in polynomial time and which anticipated later primal-dual methods...
.