In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood.

Download PDF

References

1. Appel, Kenneth (with Haken, Wolfgang) Every planar map is four colorable. With the collaboration of J. Koch. Contemporary Mathematics, 98. American Mathematical Society, Providence, RI, 1989. xvi+741 pp.
2. Berndt, Bruce C. (with Rankin, Robert A.) Ramanujan; Letters and commentary. History of Mathematics, 9. American Mathematical Society, Providence, RI; London Mathemcatical socirty, London, 1995.xiv+347pp.
3. Cobb, George W. and Moore, David S (Nov. 1997). 'Mathematics, Statistics, and Teaching'. The American Mathematical Monthly 104 (9): pp. 801-823. http://www.jstor.org/stable/2975286.
4. Moore, David S (Jan. 1988). 'Should Mathematicians Teach Statistics?'. The College Mathematics Journal 19 (1): pp. 3-7. http://www.jstor.org/stable/2686686.
5. Scheaffer, Richard L. Scheaffer and Stasny, Elizabeth A (November 2004). 'The State of Undergraduate Education in Statistics: A Report from the CBMS'. The American Statistician 58 (4): pp. 265--271. doi:10.1198/000313004X5770.
6. Harold Hotelling (1988). 'Golden Oldies: Classic Articles from the World of Statistics and Probability: 'The Place of Statistics in the University''. Statistical Science 3 (1): pp. 72-83. doi:10.1214/ss/1177013002. http://projecteuclid.org/euclid.ss/1
7. Harold Hotelling (1988). 'Golden Oldies: Classic Articles from the World of Statistics and Probability: 'The Teaching of Statistics''. Statistical Science 3 (1): pp. 63-71. doi:10.1214/ss/1177013001. http://projecteuc

Back