According to US copyright law, “Copyright does not protect facts, ideas, systems, or methods of operation, although it may protect the way these things are expressed.” IOW, you can record the ingredients and you can learn how to make the recipe without buying the book. It is ethical (IMHO, using the Golden Rule) to record the source of the recipe idea when you do, so that if you pass the recipe on you can write “adapted from Author, Book, year”, so the author’s name stays on the recipe as it travels around the world.
This is from a US Copyright Office circular on “fair use”:
"One of the rights accorded to the owner of copyright is the right to reproduce or to authorize others to reproduce the work in copies or phonorecords. This right is subject to certain limitations found in sections 107 through 118 of the copyright law (title 17, U. S. Code). One of the more important limitations is the doctrine of “fair use.” The doctrine of fair use has developed through a substantial number of court decisions over the years and has been codified in section 107 of the copyright law.
Section 107 contains a list of the various purposes for which the reproduction of a particular work may be considered fair, such as criticism, comment, news reporting, teaching, scholarship, and research. Section 107 also sets out four factors to be considered in determining whether or not a particular use is fair.
1.The purpose and character of the use, including whether such use is of commercial nature or is for nonprofit educational purposes
2. The nature of the copyrighted work
3. The amount and substantiality of the portion used in relation to the copyrighted work as a whole
4. The effect of the use upon the potential market for, or value of, the copyrighted work
The distinction between what is fair use and what is infringement in a particular case will not always be clear or easily defined. There is no specific number of words, lines, or notes that may safely be taken without permission. Acknowledging the source of the copyrighted material does not substitute for obtaining permission."
My rule of thumb has been that if I am only saving the number of recipes typical for a newspaper review of a cookbook, I don’t feel bound to buy the book. I can get as many ideas as I like and not buy the book. If I’m really turning down the pages, though, I will buy the book if it is still practically possible to do it, because it seems the right thing to do by the author. Still, libraries do not have cookbooks in their collection with the idea that everyone is going to use the recipes as research in the development of personal versions. It is OK to just use the recipes as written, and you don’t have to limit yourself on how many. Always keep track of who the author was, though, and make sure their name stays attached to the recipe as long as it is substantially the same as they wrote it. You wouldn’t claim your grandmother’s recipe as your own, and you shouldn’t do that to a cookbook author, either.