Line 5: Line 5:
 
'''<math>a^n + b^n = c^n </math>'''
 
'''<math>a^n + b^n = c^n </math>'''
  
and '''<math>n</math>''' > 2, it does not have no solution in non-zero integers in '''<math>a</math>''', '''<math>b</math>''', and '''<math>c</math>'''.
+
and '''<math>n</math>''' > 2, it has no solution in non-zero integers in '''<math>a</math>''', '''<math>b</math>''', and '''<math>c</math>'''.
  
 
While I have not had any actual chance to use this theorem, it is still very fascinating that
 
While I have not had any actual chance to use this theorem, it is still very fascinating that
 
a theorem can look so simple yet its proof can remain so elusive for centuries.
 
a theorem can look so simple yet its proof can remain so elusive for centuries.

Latest revision as of 13:00, 7 September 2008

My favorite mathematical theorem is Fermat's Last Theorem:

If an equation is in the form of

$ a^n + b^n = c^n $

and $ n $ > 2, it has no solution in non-zero integers in $ a $, $ b $, and $ c $.

While I have not had any actual chance to use this theorem, it is still very fascinating that a theorem can look so simple yet its proof can remain so elusive for centuries.

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett