Summary

This chapter provided a comprehensive exploration of various sorting algorithms, highlighting their underlying principles, efficiencies, and practical implementations. The chapter began by discussing the fundamental properties that differentiate sorting algorithms, such as comparison versus non-comparison-based methods, stability, adaptability, and memory usage. These properties were crucial for understanding why certain algorithms are more suitable for specific types of data and applications. The chapter emphasized the importance of time complexity, particularly noting that comparison-based algorithms have a lower-bound complexity of , while non-comparison-based algorithms can achieve linear time complexity under the right conditions.

The chapter then discussed specific sorting algorithms, starting with the iterative methods: bubble sort, selection sort, and insertion sort. These algorithms, despite their simplicity and ease of implementation, were shown to be inefficient...