*List of Figures*

1.1A word of 4 bytes in IEEE single precision

1.2A word of 8 bytes in IEEE double precision

1.3Distribution of numbers in 𝔽(2,4, − 6,7)

1.4Distribution of numbers in 𝔽(2,3, − 3,4)

2.1Roots of *e* ^{− x} − sin(*x*), *x* > 0

2.2Roots of *p*(*x*) = *x*^{4} − *x*^{3} − *x* − 1

2.3Intersection with the X-AXIS of the tangent to (𝒞) at (*r _{n}*,

*f*(

*r*))

_{n}2.4Finding a root of *f*(*x*) = sin(*x*) − *e* ^{− x} using Newton’s method

4.1Runge counter example for non convergence of the interpolation polynomial

4.2Natural quadratic spline approximation for *f*(*x*) = 3cos(2*x*)

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