Quicksort is a highly efficient sorting algorithm that uses the divide-and-conquer strategy to sort an array. The algorithm works by selecting a pivot element from the array and partitioning the other elements into two subarrays: elements less than the pivot and elements greater than the pivot. These subarrays are then recursively sorted. In TypeScript, implementing quicksort involves writing a recursive function that handles the partitioning logic and calls itself on the resulting subarrays. The efficiency of quicksort lies in its average-case time complexity of O(n log n), although in the worst case (when the pivot is poorly chosen), it can degrade to O(n^2). To improve performance, randomizing the pivot selection or using the median-of-three strategy can help. Quicksort is widely used due to its in-place sorting capabilities, meaning it doesn't require extra memory for additional arrays. It is often the algorithm of choice for large datasets, and its efficiency makes it suitable for tasks such as database query optimization, financial transaction sorting, and ranking systems. Learning how to implement quicksort in TypeScript will deepen your understanding of sorting algorithms and recursion.