Mathematics Helper

A comprehensive Java-based application designed to assist users in solving a wide range of mathematical problems, from arithmetic to advanced geometry and algebra.

Mathematics Helper

✨ Project Overview

The Mathematics Helper is a robust tool built with Java that simplifies complex mathematical computations. It offers a user-friendly interface for students and professionals to perform calculations, verify results, and understand mathematical concepts through practical application.

⚙️ Core Functionalities

  • Arithmetic OperationsPerform basic and advanced arithmetic calculations with precision.
  • Algebra SolverSolve algebraic equations, expressions, and find roots of polynomials.
  • Geometry CalculatorCalculate properties of 2D and 3D shapes, including area, volume, and intersections.
  • Trigonometry FunctionsEvaluate trigonometric functions, identities, and solve triangles.

🛠 Technical Deep Dive

  • ☕
    Core JavaBuilt entirely in Java, utilizing object-oriented principles for modularity.
  • 🧩
    Modular DesignCodebase organized into distinct packages for Algebra, Geometry, and Sequences.
  • 📚
    Math LibrariesIntegrates standard Java Math libraries and custom algorithms for complex computations.
  • 📐
    Object-OrientedUses classes like Point, Line, and Circle to model mathematical entities intuitively.

Project Classes & Modules

Sequences & Progressions

sequences.progression

ArithmeticProgressionHandles AP sequences, sum calculations, and term prediction.
GeometricProgressionManages GP sequences, including infinite series and term prediction.

Permutations & Combinations

pnc.base & pnc.solver

FactorialEfficient calculation of factorials.
CombinationCalculates nCr values.
PermutationCalculates nPr values.
PncSolverUser-facing solver for PnC problems.

Geometry: Base & Shapes

geometry.base & geometry.shapes

PointRepresents 2D/3D points with distance calculations.
Line2DModels lines, slopes, and intersections.
CircleHandles circle properties, tangents, and point checks.
TriangleCalculates area, centroid, and orthocenter.
ParabolaManages parabolic equations and properties.
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