Book Stacking Problem and Harmonic Series

1. Present the history of the problem. e.g., how long has the problem been around? Who has considered it? What is known about the problem? Is there a problem that’s related to the problem and that is still open? 2. The problem can not be a theorem in a well-known undergraduate text book. E.g., the fundamental theorem of calculus. 3. Your paper and the presentation should be self-contained. It should reflect your true understanding of the problem. You may assume knowledge of calculus (at the level of Math 21) and linear algebra (at the level of Math 22) and some basic results in real/complex analysis. Make sure you can explain all the concepts involved to your fellow students. 4. The paper must clearly state the problem and present a solution in full.