Dror Bar-Natan: Classes: 2003-04: Math 157 - Analysis I:

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Homework Assignment 25

Assigned Tuesday March 30; due Friday April 16, 2PM, at SS 1071 (notice the late due date!)

This document in PDF: HW.pdf

``God created the integers, all else is the work of man.''

(Leopold Kronecker, 1823-1891)

Required reading. All of Spivak's Chapters 25.

To be handed in. From Spivak Chapter 25: Problems 1-3 (odd parts) and 9.

Recommended for extra practice. From Spivak Chapter 25: Problems 1-3 (even parts), 4 and 10.

Just for fun. Check that for any complex number $z$,

$$z^2=\frac{1}{\frac{1}{z-\frac12}-\frac{1}{z+\frac12}}+\frac14,$$

play with my former student's Dori Eldar's Squaring Machine and read his ``Linkages as Functions'' page to understand how the two parts of this question are related.

Unrelated message. I will be holding this weeks' office hours on Wednesday at 12:30-1:30 instead of the usual Thursday time!

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