Algebraic Number Theory (Mathematica Guide)

With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...

Solving Equations (Mathematica Tutorial)

An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...

Polynomial Equations (Mathematica Guide)

Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...

Interval Arithmetic (Mathematica Guide)

Mathematica automatically uses sophisticated algorithms to track the precision of approximate numbers. Particularly for some verification applications, however, it is ...

Solve (Built-in Mathematica Symbol)

Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...

ZetaZero (Built-in Mathematica Symbol)

ZetaZero[k] represents the k\[Null]^th zero of the Riemann zeta function on the critical line.ZetaZero[k, t] represents the k\[Null]^th zero with imaginary part greater than ...

Classical Analysis and Design (Mathematica Guide)

Mathematica provides a full suite of tools needed for the classical analysis and design of control systems, leveraging Mathematica's hybrid symbolic-numeric arithmetic ...

Inverse Functions (Mathematica Guide)

Arithmetic Functions (Mathematica Guide)

Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

Resultant (Built-in Mathematica Symbol)

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...