React applications utilize advanced hooks like useContext, useReducer, and useLayoutEffect for efficient state management and data sharing without excessive boilerplate.
This article demonstrates implementing these hooks in a practical scenario of simulating a system of equations with shared coefficients and synchronized updates using React + TypeScript.
Key implementations include a global math context with useContext, state transitions and actions managed with useReducer, and layout synchronization ensured with useLayoutEffect.
By combining these advanced hooks in React with TypeScript, users can effectively model and manage dynamic equations and interface elements in a mathematical context.