Dror Bar-Natan: Classes: 2003-04: Math 157 - Analysis I: | (68) |
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Assigned Tuesday January 27; due Friday February 6, 2PM,
at SS 1071

This document in PDF: HW.pdf

**Required reading. ** All of Spivak Chapter 18.

**To be handed in. ** From Spivak
Chapter 18: 1 (ii, v, ix), 4 (odd parts), 7 (odd parts), 8 (odd parts),
21, 47 (e).

**Recommended for extra practice. ** From Spivak
Chapter 18: 1 (the rest), 4 (even parts), 6, 7 (even parts), 8 (even parts),
18, 34, 47 (a-d), 49.

**Aside. ** Here's a short
Mathematica session that computes an
approximation of the number for which
:

drorbn@coxeter:~/classes/157AnalysisI:1 math Mathematica 4.1 for IBM AIX Copyright 1988-2000 Wolfram Research, Inc. In[1]:= s = 0; t = 1; dt = 0.000001; In[2]:= While[(s += dt/t) < 1, t += dt]; t Out[2]= 2.71828

**Just for fun. ** How far can you reach by stacking
up identical domino pieces, before your tower will lean over and fall?

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Dror Bar-Natan 2004-01-26