The goal isn’t to provide a precise definition for algorithms, but rather to help you understand how algorithms fit into the grand scheme of things so that you can develop your own understanding of what algorithms are and why they’re so important.
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Spurred by changes of our undergraduate theory curriculum, I undertook a major revision of my notes in 2016; this book consists of a subset of my revised notes on the most fundamental course material, mostly reflecting the algorithmic content of our new required junior-level theory course.
We seek algorithms which are correct and efficient. A faster algorithm running on a slower computer will always win for sufficiently large instances, as we shall see. Usually, problems don’t have to get that large before the faster algorithm wins.
The document outlines the typical steps for developing an algorithm, including identifying inputs, processes, and outputs, and using a top-down approach to break problems into smaller subproblems.
Algorithms are an essential tool for solving problems and completing tasks in many different areas of our lives. By breaking down complex problems into smaller components and developing step-by-step instructions for addressing each one, we can achieve our goals more efficiently and effectively.
Feasible: The algorithm must be simple, generic and practical, such that it can be executed upon will the available resources. It must not contain some future technology, or anything.
The goal isn’t to provide a precise definition for algorithms, but rather to help you understand how algorithms fit into the grand scheme of things so that you can develop your own understanding of what algorithms are and why they’re so important.
