Pari is an excellent calculator
with infinite accuracy, useful to solve equations, find roots
of polynomials etc:
log(234234)
12341239417623941782346*123412341234123412341234
factor(111111111111111111111111111111111111111111111111111111111111111111111111111111111)
factor(1+2*x+x^2)
10!
solve(x=0,1,cos(x)-x)
polroots(x^3+x^2-2*x-2)
Pari knows calculus, can find Taylor series, find
integrals, plot functions, find the derivatie of
a function, sum a series. In that case
we switched to 200 digit accuracy:
Ser( (1-x)^(-1) )
intnum(t=0,2*Pi,sin(exp(I*t)))
plot(x=0,2*Pi,sin(x))
f(x)=sin(cos(x))
f'(x)
p 200
4*sumalt(k=0,(-1)^k/(2*k+1))
To work with complex numbers, just note that I is the the imaginary i.
(1+I)*(1-I)
abs(1+I)
For doing linear algebra, like solving a linear system A x=b or
find the determinant of a matrix A:
A=matrix(3,3,i,j,i/j+j/(i+1)*2+3)
b=[0;1]
gauss(A,b)
matdet(A)
It allows programming
f(n)=if(n==0,1,if(n==1,1,f(n-1)+2*f(n-2)))
f(20)
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