Homework 7, due on Wednesday, May 27 by 11:59pm PST

• Chapter 13 (13.1)
• Chapter 14 (14.1, 14.2, 14.4). If you define a bijection, you must prove that it is a bijection.
• Show that the following sets have the same cardinality.
  • \(\mathbb{R}\) and \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)
  • \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) and \((0,1)\)
  • \(\mathbb{R}\) and \((0,1)\)
  • \(\mathbb{R}^2\) and \(\mathbb{C}\)