Every week, Reading A and Problem Set A are required for everyone. Reading B and Problem Set B are assigned for people on the reading/writing and problem sets track, respectively.
Get course readings here.
To post responses to the readings, visit the course wiki.
Hints: Look here for comments and clarifications (and sometimes hints) on homework problems.
Some Solution Sets (mostly by Yvonne Lai): HW1, Dedekind cuts (from HW3A), HW 3B, more from 3B, selected problems from HW6,7, Primes
HW # | Due Date | Reading A | Reading B | Problem Set A | Problem Set B |
HW 1 | W Jan 10 | 2.2 (regular polyhedra), 22.2 (V-E+F), Lakatos 1-30 (link) |
Lakatos 30-56, 57-105, 106-126, 142-154 | 2.2.1-4, 22.2.3-4 | 2.2.5-9, 22.2.5-6 |
HW 2 | W Jan 17 | 1.1,2,5 (Pythagorean theorem), 3.1-4 (Greek number theory), 5.1-3 (Chinese number theory), 6.1,2,3,5,8 (solving the cubic) Egyptian arithmetic (link) |
Finish Lakatos readings; Rest of Chapters 1,3,5,6 Al-Khwarizmi's quadratics (link) |
1.2.3-4, 3.2.1-4, 5.3.1-2 | 1.3.1-3, 1.4.1-2, 3.2.5, 3.3.1-5, 5.2.1-2 |
HW 3 | W Jan 24 | Chapter 4 (Greek infinity), 10.1,2 (infinite series), Barrow Chapter 2 (link), Barrow Chapter 5 (link) |
Barrow Chapter 4 (link) selection from Rotman, Ad Infinitum (link-guide) |
4.2.1-5, 4.3.1, 4.4.1-3 | 5.4.1-6, 5.6.1, 6.3.1,2,6, 4.3.4-6 |
HW 4 | W Jan 31 | 2.1 (Euclid's setup), 18.1,2 (parallel postulate), 21.7,8 (ring axioms and biogs), 23.2,5 (sets and diagonalization), primary source selections (link) |
selection from Mashaal, Bourbaki (link) | 2.1.1-2, 18.1.1-2, 21.7.1, 23.2.2-3 | 18.2.1-3, 21.7.2-3, 23.2.1,4, 23.5.1 |
HW 5 | W Feb 7 | 6.6 (cubics), 9.4 (product formula), 10.4 (Euler's sum), 10.6 (generating functions), Dunham intro on Euler (link) |
Hardy on Ramanujan (link), Euler and logarithms (link) |
6.6.1-3, 9.4.3-4, 10.4.2, 10.6.1 | 9.4.1,2,5, 10.4.1, 10.6.2-3 |
HW 6 | W Feb 14 | 2.3 (ruler and compass), 6.4 (quadratic irrationals), 14.1-5 (complex numbers), 21.1-4 (algebraic number theory) |
Rotman on zero (link) | 2.3.1-2, 6.4.1-2, 14.3.2-5 | 6.4.3-5, 6.5.1-3, read all of Chapter 21, 21.1.1-4, 21.2.1-2, 21.3.1-2 |
HW 7 | F Feb 23 | 7.1,2,5 (analytic geometry), 15.2 (stereographic projection), 18.6,7 (C in non-Euclidean geom) 19.5 (Erlangen) |
all of Chapter 7, 22.8, Greenberg selection (link) OR Poincare with intro (link) | 18.6.1-4,19.5.1-2 | read 19.6, 15.2.1-3,19.5.3-4,19.6.4 |
HW 8 | W Feb 28 |
6.7 (solvability of polynomials), 19.1-4,7 (groups, Galois), Rothman on Bell and Galois (link) |
Duchin on genius (link); Fara, selection from Newton (link) |
no problem set: work on your paper. |
6.7.1-3, 19.1.1-4 |
HW 9 | W Mar 7 | 9.1-2 (early calculus), 10.7 (zeta), 15.5 (Riemann biography), Wigner (link) |
Mazur article (link), Mancosu article (link) Paper draft due Note: only one reading response this week. |
9.2.3, 10.7.1, Hailstone 1-3 | 9.2.4-5, 10.7.2-3, Hailstone 4-8 |
HW 10 | W Mar 14 | Mandelbrot article (link), "Notes on Purity" (handout) |
Review | Primes 1-2 | Primes 3 |
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