Mathematics 4H: Galois Theory

Evariste Galois (25 Oct 1811-31 May 1832)

See the here for a detailed description of this course. Various documents (such as notes and problem sheets) will be made available here as and when they appear.

Lecture Notes

• Notes for 4H Galois Theory (printed copies available from the General Office, room 328, cost £4 each). N.B. The version here contains all corrections made from 12/01/2004 onwards - please email me any other errors you find or suggestions for improving these notes.
• Solutions to Exercises As the course progresses, these will appear at the end of the online version of the notes.

Other notes on the internet

This small sample was found using a Google search on `Galois Theory', producing in all 3,160 items in UK sites alone!

• An Introduction to Galois Theory by D. Goodman (NRich)
• Galois Theory by M. Reid (University of Warwick)

Lots of information can also be found through archives such as MathWorld and the Mathematical Atlas.

Some historical links related to this subject

• The abstract group concept
• The development of group theory
• The fundamental theorem of algebra
• Quadratic, cubic and quartic equations
• Construction of the 17-gon
• MathWorld contains a lot of information on topics covered in this course.

Niels Henrik Abel (5 Aug 1802-6 April 1829)

Johann Carl Friedrich Gauss (30 April 1777-23 Feb 1855)

Joseph-Louis Lagrange (25 Jan 1736-10 April 1813)