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Hi dear forum members,

I'm an undergrad. physics student(freshmen),i've learned that Galilei found g.t^2=s formula(a free falling object's position function with respect to time)without using physical foundations,by using him blood impulses for count time not utilizing acceleration etc,i've learnd it from https://www.amazon.com/s/ref=dp_byl...ksandrov&sort=relevancerank&tag=pfamazon01-20 's mathematics its contend methods and meaning.

He just measured two quantities while one of them changing respect to other.But how could he find g,how could he measure that constant?

Not just Galilei's,there are a lot of physical formula consists constants and i want to the same,i want to derivate formulas on topics that i observed or imagined.I know differential and integral calculus(and although i dont know series and analysis too much,i'm currently working on them).Which branch of mathematics can teach me these?I'm a self-learner ,i can learn from books by myself so don't hesitate to advisig books :) .

What kind of books teach me this process,i mean which subject i should learn?Mathematical modelling,analysis or something else?

My English could be crude,sorry for that,but please help me,i'm really eager to learn expressing any/all kind of physical phenomenas by using math.

I'm an undergrad. physics student(freshmen),i've learned that Galilei found g.t^2=s formula(a free falling object's position function with respect to time)without using physical foundations,by using him blood impulses for count time not utilizing acceleration etc,i've learnd it from https://www.amazon.com/s/ref=dp_byl...ksandrov&sort=relevancerank&tag=pfamazon01-20 's mathematics its contend methods and meaning.

He just measured two quantities while one of them changing respect to other.But how could he find g,how could he measure that constant?

Not just Galilei's,there are a lot of physical formula consists constants and i want to the same,i want to derivate formulas on topics that i observed or imagined.I know differential and integral calculus(and although i dont know series and analysis too much,i'm currently working on them).Which branch of mathematics can teach me these?I'm a self-learner ,i can learn from books by myself so don't hesitate to advisig books :) .

What kind of books teach me this process,i mean which subject i should learn?Mathematical modelling,analysis or something else?

My English could be crude,sorry for that,but please help me,i'm really eager to learn expressing any/all kind of physical phenomenas by using math.

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