#algebra

Work with polynomials: find their roots, evaluate them, differentiate and integrate, and add, subtract, multiply or divide them. The roots endpoint returns every root — real and complex — using the exact quadratic formula for degree 2 and the Durand-Kerner method for higher degrees, with a clean list of just the real roots too. The evaluate endpoint computes p(x) and p'(x) at a point by Horner's method. The derivative endpoint returns the coefficients of the derivative and of the indefinite integral. The operate endpoint does polynomial arithmetic — addition, subtraction, multiplication, and long division giving a quotient and a remainder. Coefficients are given highest-degree first, so [1,-3,2] means x² − 3x + 2. Everything is computed locally and deterministically, so it is instant and private. Ideal for engineering and control systems, signal processing and filter design, computer graphics and curve fitting, scientific computing, and teaching algebra and calculus. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 5 endpoints. This is polynomial maths; for matrices and linear systems use a matrix API, for vectors a vector API, and for general arithmetic a math API.

api.oanor.com/polynomial-api

Un motor matemático completo como API, impulsado por mathjs. Evalúa cualquier expresión — aritmética, cientos de funciones (sqrt, sin, log, gcd, factorial, combinaciones, …), constantes (pi, e), números complejos, matrices y teoría de números — con control de precisión opcional (por ejemplo, 2+3*sqrt(16) → 14, pi con 5 dígitos → 3.1416). Toma la derivada simbólica de una expresión con respecto a una variable (x^2+3x → 2*x+3), y simplifica álgebra (2x+3x → 5*x). Sin bibliotecas de fórmulas que empaquetar, sin matemáticas que reimplementar: envía una expresión, obtén la respuesta. Ideal para calculadoras y aplicaciones educativas STEM, lógica de hojas de cálculo y formularios, herramientas de cuestionarios y tareas, paneles de ingeniería y datos, y cualquier producto que necesite cómputo confiable del lado del servidor.

api.oanor.com/math-api