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## Main Question or Discussion Point

Hi everyone. Can someone recommend a book that covers dimensional analysis/scaling with Differential Equations? All the books I've looked at on DEs have very little on dimensional analysis/scaling.

For instance, I set up a DE for vertical projectile motion with air resistance, I want to use scaling to reject insignificant terms, find the time scale etc. and thus simplify the DE and make approximations. Can anyone recommend such a book? And what level will it be? I need it for a 2nd year course on DEs.

Thanks.

EDIT: Ok, I realise that was a simple, maybe trivial (I don't think so), example of using dimensional analysis. But I'd like something that starts from the beginning, i.e. assuming you have NO knowledge of dimensional analysis, up to examples like the one I gave, and then up to stuff like dimensional analysis for fluid flow, Buckingham Pi theorem of course, and other stuff etc.

For instance, I set up a DE for vertical projectile motion with air resistance, I want to use scaling to reject insignificant terms, find the time scale etc. and thus simplify the DE and make approximations. Can anyone recommend such a book? And what level will it be? I need it for a 2nd year course on DEs.

Thanks.

EDIT: Ok, I realise that was a simple, maybe trivial (I don't think so), example of using dimensional analysis. But I'd like something that starts from the beginning, i.e. assuming you have NO knowledge of dimensional analysis, up to examples like the one I gave, and then up to stuff like dimensional analysis for fluid flow, Buckingham Pi theorem of course, and other stuff etc.

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