Is this copyright or am I allowed to have this in my math textbook?
<p>I was recommended from MSE(math) to ask here.
I'm creating a fun math book to sell and I don't know whether if I'm allowed to have these in my book due to copyright or not:</p>
<ul>
<li>video game / movie references and names</li>
<li>common integration bee problems</li>
<li>names of a university / math competition organizers</li>
<li>integration techniques and formulas</li>
<li>using someone's Overleaf Latex package to format the book</li>
</ul>
<p>Do all of these violate copyright or are they not considered copyright?</p>
<p>It's quite hard to explain, so here's a preview of how my textbook starts off.</p>
<p><a href="https://i.stack.imgur.com/JCeWy.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/JCeWy.jpg" alt="enter image description here" /></a></p>
<p><a href="https://i.stack.imgur.com/NUvnD.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/NUvnD.jpg" alt="enter image description here" /></a></p>
<p><a href="https://i.stack.imgur.com/Ao0CJ.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/Ao0CJ.jpg" alt="enter image description here" /></a></p>
<p><a href="https://i.stack.imgur.com/ORYJd.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/ORYJd.jpg" alt="enter image description here" /></a></p>

<p>Names of people, institutions, and events are not protected by copyright. Things that have occurred at events like math tournaments are facts, and may be recounted, in your own words, with no fear of infringing any copyright.  Facts are never protected by copyright, although a particular description of facts could be, and so could a particular selection and arrangement of facts.</p>
<p>Specific math techniques and their names are not protected either, and may be described without infringing copyright.</p>
<p>The items you mention in the question are:</p>
<blockquote>
<ul>
<li>video game / movie references and names</li>
</ul>
</blockquote>
<ul>
<li>No copyright issue here.</li>
</ul>
<blockquote>
<ul>
<li>common integration bee problems</li>
</ul>
</blockquote>
<ul>
<li>No copyright issue here.</li>
</ul>
<blockquote>
<ul>
<li>names of a university / math competition organizers</li>
</ul>
</blockquote>
<ul>
<li>No copyright issue here.</li>
</ul>
<blockquote>
<ul>
<li>integration techniques and formulas</li>
</ul>
</blockquote>
<ul>
<li>No copyright issue here, unless you copy an extensive description of a technique without rewriting it in your mown words..</li>
</ul>
<blockquote>
<ul>
<li>using someone's Overleaf Latex package to format the book</li>
</ul>
</blockquote>
<ul>
<li>This depends on the license for the package, but there is not likely to be an issue.</li>
</ul>
<p>In short I think you are worrying over issues that are in fact non-issues.</p>


<h3>Copying math tests would likely violate copyright.</h3>
<p>I am not a lawyer, and this isn't legal advice. If you want actual legal advice, hire an actual lawyer with actual money.</p>
<p>In the examples you're showing, your Chapter 15 consists entirely of practice tests, each of which is labelled with the name of an event. If those tests are composed of tests from those events (or from any other event, for that matter), the copying of those tests would likely constitute a breach of copyright unless you got the permission to do so from the copyright owners of those tests.</p>
<p>If the named events aren't real events, but they do include the names of fictional characters or properties, they might not be copyright violation, but they might constitute trademark violation.</p>
<p>Additionally, there would be an academic ethics violation of plagiarism separate to any of the above legal violations if you have copied <em>any</em> material, and failed to properly cite it. While this wouldn't have any legal repercussions, it might result in you being fired from your place of employment and getting a significant black mark on your reputation in the academic world.</p>

copyright