History of Mathematics
homework page

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 3W 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 5W 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)

Paper proposal due

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 7F 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 9W 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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