Is there any textbook or any book (introductory, mostly) out there that combines the teaching of physics, biology, and chemistry phenomenon while appropriately teaching the details for each of the fields as it goes on. Or anything similar?
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I'm not sure that there's anything out there that has quite what you're looking for here.
Having said that, I would suspect that there will be one day, given the rise of integrated science curriculums at various schools. You might be interested in checking out, for example, the Princeton program and seeing what texts they use/recommend.
You might consider:
Biological Physics, Energy, Information, Life, Updated 1st Ed.
by Philip NelsonPublished by W. H. Freeman and Company, NY
" make the big picture accessible to any student who has taken first-year physics and calculus (plus a smattering of high school chemitry and biology), and who is willing to stretch."
Why not try going to second hand stores or advertising in the paper for used high-school "Science" textbooks, saying you don't care if they're from the old syllabus. (The information is usually up-to-date but the syllabus keeps changing to help publishers make money). Actually the fact that they're doing it just to make money is usually illustrated really clearly in how they leave in information which has been discredited.