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i have some doubts from chapter 1 of the book Mathematical methods for physics and engineering.
i have attached 2 screenshots to exactly point my doubts.
in the first screenshot...could you tell me why exactly the 3 values of f(x) are equal.
the first is the very definition of polynomials...but why is f(x) also equal to product of those factors(i.e the other two equations of f(x))?
And in the second screenshot...how exactly are properties 1.12,1.13,1.14 derived from those 3 equations of f(x)?
Also how do you use property 1.14...how do you evaluate that double summation?
i have attached 2 screenshots to exactly point my doubts.
in the first screenshot...could you tell me why exactly the 3 values of f(x) are equal.
the first is the very definition of polynomials...but why is f(x) also equal to product of those factors(i.e the other two equations of f(x))?
And in the second screenshot...how exactly are properties 1.12,1.13,1.14 derived from those 3 equations of f(x)?
Also how do you use property 1.14...how do you evaluate that double summation?
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