Suppose I own a copy of a physics book containing original research. Suppose that this book is licensed under a non-free license.
If I use the formulas and concepts explained in that book in my program, am I infringing the book's copyright?
In my opinion the answer is no because I'm copying ideas, not text, and ideas can't be copyrighted. Though, I must say that in order to use the formulas, I'm forced to copy parts of the text, hence the question.
Update: I have no problems crediting the author and citing the book; my aim is to have freedom to choice the license I want for my software, without being limited by the book's license.