MAS3008: Number Theory
This is the home page for the Number Theory course.
It will contain copies of course handouts, solutions to problems,
OHP slides and useful links.
To claim the first mark on problem sheet 1 you must give the
magic word: the magic word is SHAZAM.
Notes and handouts
- Course information:
dvi, pdf.
- Problem sheet 1:
dvi, pdf.
- Solutions for problem sheet 1:
dvi, pdf.
- Problem sheet 2:
dvi, pdf.
- Solutions for problem sheet 2:
dvi, pdf.
- Problem sheet 3:
dvi, pdf.
- Solutions for problem sheet 3:
dvi, pdf.
- Problem sheet 4:
dvi, pdf.
- Solutions for problem sheet 4:
dvi, pdf.
- Problem sheet 5:
dvi, pdf.
- Solutions for problem sheet 5:
dvi, pdf.
- Uniqueness of prime factorization:
dvi, pdf.
- The extended Euclidean algorithm:
dvi, pdf.
- Examples for the Chinese Remainder Theorem:
dvi, pdf.
- Three proofs of Wilson's theorem:
dvi, pdf.
- The binary powering algorithm:
dvi, pdf.
- Algorithms:
dvi, pdf.
- Quadratic reciprocity:
dvi, pdf.
- The Legendre and Jacobi symbols:
dvi, pdf.
- Square roots modulo a prime:
dvi, pdf.
- Pythagorean triples and sums of squares:
dvi, pdf.
- The two-square and four-square formulas:
dvi, pdf.
- Exam (1997-1998):
dvi, pdf.
- Exam (1998-1999):
dvi, pdf.
- Exam (1999-2000):
dvi, pdf.
- Exam (2000-2001):
dvi, pdf.
- Exam (2001-2002):
dvi, pdf.
- Exam (2002-2003):
dvi, pdf.
- Exam (2003-2004):
dvi, pdf.
Other links
Robin Chapman
rjc@maths.ex.ac.uk
5th May 2005
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