Is taking notes copyright infringement? If I'm taking notes on a book I'm studying would I technically be infringing copyright if I didn't properly cite the source on the piece of paper the notes are on? I got curious because I was watching a youtube video and someone explained something so well I copied it down verbatim into google docs. Is this breaking copyright? I guess what I don't get about fair use is it says it can be used for study, so does that mean as long as you don't actually use it you're ok? For example you're learning how to speak German and you make notes from your book, this is ok but if you actual speak German then you're using it so fair use doesn't apply? Obviously this isn't how it works so I'm curious as to how it does.
It depends on where you are For example, in USA copyright exists in a literary or artistic work stored in permanent form like a book, a movie, an audio recording, a building etc. In contrast, in Australia there is no requirement for the work to be stored - that means copyright can exist in a spoken lecture. The owner of the copyright (usually, but not necessarily the creator) has the right to choose if and how their work is copied and if and how any derivative works may be made from it. For your example, the book is an original work in which copyright vests with the author(s), your notes are a derivative work in which copyright vests in you. However, you presumably did not have permission to make your derivative work so that makes it prima facie a copyright infringement. Fortunately, in the USA there exists a Fair Use defence and in Commonwealth countries the slightly less permissive Fair Dealing defence (if you are somewhere else you will need to do your own research). Search this site or read the copyright article on Wikipedia to learn about these defences. Long answer short (too late!), taking notes to aid your own study is almost certainly Fair Use/Dealing. So is sharing it with your friends. Publishing it may or may not be depending on all sorts of factors; for example, if you were to write a study guide for say a Harry Potter book for use by English literature students this is probably OK even if it is a for profit activity, because criticism is Fair Use/Dealing. Citing work is not necessary to comply with copyright law. Failing to cite may be academic misconduct but that is not a legal matter; its a matter for your academic institution.
Generally speaking, it is illegal for you to do this. Copyright gives the creator of the image the exclusive right to copy it, and just making copies to send to other people is probably not going to be fair use. Making copies without a license from the copyright holder would therefore be copyright infringement. Are there likely to be any consequences for doing this? Probably not.
Bob is not authorized, but he may legally do so (in the US, you don't need specific authorization to perform a non-forbidden act). In creating the manual, Bob would need to avoid reproducing the questions (which are protected by copyright), and just give the answers. Copyright protection for the textbook includes not just the actual words, but also organizational structure, so Bob would need to avoid copying the structure of the exercises. As for "structure of the exercises", textbooks often have exercises for each chapter, with a clear logic to the order and content of chapters. Within the chapter exercises, there is often some rationale to the order of presentation of the dozen exercises, like starting for with simplest concepts presented in the text and moving up the ladder. In a given exercise, there my be subparts, where understanding part 1 leads you to understanding part 2, and so on. In a well-structure textbook, maybe 20% of the creative nature of the book is that artful ordering. Imposing an entirely different order on your solutions avoids copying the author's protected expression.
Q1 and Q2 are definitely not copyright violations. Copyright protects original expression. Your questions are yours; the only things you are using are the names, and copyright doesn't cover them on their own. The quotation in Q3 might conceivably come under copyright. However in practice it is very likely to be fair use (unfortunately nothing is definitely fair use until a court rules on it, but I can't imagine a short quotation in a quiz being an issue).
You cannot safely rely on the US doctrine of Fair Use, except if the rights-holder sues you in US courts. In France, there are limited exceptions to the authors proprietary rights. Under Art. L-122-5, there are some relevant potential exceptions: 3ºa) analyses and short quotations justified by the critical, polemic, educational, scientific or informatory nature of the work in which they are incorporated... 4º. parody, pastiche and caricature, observing the rules of the genre. Your description of the intended use does not fit these criteria. Consulting with a copyright attorney is advised, if you don't want to obtain a license.
Here's one way to avoid the issue altogether: Wikipedia, or anyone for that matter, can't copyright information (only its expression). You can reword (automate the process?) the content (ie, w/out doing "independent research") and it's yours! Of course, I'm not a lawyer so consult one of those.
I would argue that no, there is no copyright for the restored work. Independent copyright is only possible for any original material added, as previously discussed on this site. In this case, the added work was a technical process rather than a creative process, and technical processes cannot be protected by copyright. Copyright licenses would therefore be ineffective. However, I believe one could still impose a license based on owning the copy as opposed to the copyright (contract might be a better term in this case). However, if a third party managed to obtain a copy through some other avenue, any such contract would not be binding on them and nothing could be enforced against them unlike with copyright laws. Another way a license might be imposed is through patent protections, as technical processes can be protected via patents. However, I'm not as familiar with patent law, and this doesn't appear to be the claim being made.
I believe the author has published it online. I agree. It is posted at his publisher's website. However, I am unsure if I'm allowed to read it. This answer assumes you are in jurisdiction whose copyright laws is based upon the Berne convention (i.e. the civilized world + USA). Assuming it was the author published it online, it is perfectly legal to read it. Technically, the author is performing his work by putting it online, and by reading it, you are just enjoying his performance. Also, if you are in a jurisdiction with an explicit exception from copyright for personal use, or where fair use allows making copies for personal use, it would also be legal to download it, or to print it on paper (but for personal use only). As for downloading and printing for non-personal use - that is not legal in Berne jurisdictions.