一〇二上幾何學作業-2014.01.02

HW 15
繳交期限： 

題目
Submit only those with *
 * §5.10: 1, 2, 3*, 5*, 6, 7, 10*
 * §5.11: 1*, 2
 * Derive the metric on $\mathbb{D}$ from the one on $\mathbb{H}$ under the map $z = (w-i)/(w+i)$.*
 * Show that the geodesics in $\mathbb{D}$ are precisely those circles perpendicular to the boundary of $\mathbb{D}$.
 * Compute the double integral asked in the class.