Most of science *is* constant. The Earth still orbits the Sun, water is still H2O, plants still photosynthesise. Most of a 1960 textbook is still valid, and still will be in 2060. It's mostly details that change, or competing theories are resolved.
Sorry, but when it comes to medicine, biology, astronomy or physics, no, a 1960's textbook will be outright fallacious on anything past the elementary level.
The content will, in the more advanced areas, need to be adjusted with so many caveats that the text is worse than no text at all.
In 1960, the texts said the fundamental particles are protons, neutrons, and electrons and for advanced books, mesons.
In 1985, the new texts had quarks and, the old still had the 1960's stuff, as the fundamental particles, but also antiprotons and positrons, and more mesons and bosons.
Current top end are looking at the stuff that quarks are made of... and will include string theory, particle theory, wave theory and wavicle theory. But only ones produced by certain subgroups will claim that protons, neutrons, and electrons are the fundamental building blocks of matter. (The 1960's texts replaced the older ones claiming the atom was... from the 1920's-1940's era...)
Medicine likewise is changing rapidly, because of an understanding of healing and growth that is vastly different from that of the 1960's textbook writers. Doctors have lost malpractice suits because the common practice has changed so much that their training 30 years ago is counter to law now... and is counter to law because it's been shown to have been based on misunderstandings of biochemistry and cellular biology.
Likewise, the new understandings of cellular biology and biochemistry have revolutionized what is taught at the high school level, let alone college. The observed facts countered many theories taught in the 1960's, proving them wrong by the direct observation now possible. the 1960's taught Mendel and a bit about DNA; the revolutions in understanding of DNA, and of RNA, and of the genetic markers that wrap & disable DNA... the fundamental processes of the cell are so much better known, that, past the elementary level, it's a wholly different basal understanding.
And an astronomy text from 10 years ago is so out of date as to be irresponsible to use in the classroom; so much knowledge is amassed so fast, that last year's has to be amended in class to be used.