PMATH 340
Elementary Number Theory
Undated
Topics
- The Euclidean algorithm and Unique Factorization
- The Ring of Integers Modulo N
- The Group of Units Modulo N
- Quadratic Residues
- Some Topics Involving Prime Numbers
- Quadratic Rings
- Continued Fractions
- Some Diophantine equations
Readings
- Chapter 1. The Euclidean algorithm and Unique Factorization — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap1EuclideanAlgorithm.pdf
- Chapter 2. The Ring of Integers Modulo N — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap2IntegersModuloN.pdf
- Chapter 3. The Group of Units Modulo N — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap3UnitsModuloN.pdf
- Chapter 4. Quadratic Residues — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap4QuadraticResidues.pdf
- Chapter 5. Some Topics Involving Prime Numbers — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap5Primes.pdf
- Chapter 6. Quadratic Rings — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap6QuadraticRings.pdf
- Chapter 7. Continued Fractions — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap7ContinuedFractions.pdf
- Chapter 8. Some Diophantine equations — https://www.math.uwaterloo.ca/~snew/PMATH340/Chap8DiophantineEquations.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.