An algorithm is just a step-by-step process to solve a problem. Think of it like a recipe: follow the instructions, and you get a result. But how that “recipe” is used can differ depending on the subject—math or computer science.

In Math: Solving with Logic

In mathematics, an algorithm is usually a method to solve a numerical or logical problem. For example, the process for dividing two numbers, finding the greatest common divisor, or solving an equation is a mathematical algorithm.

Here, algorithms are more abstract. They often focus on what steps should be done, not necessarily how efficiently they’re done or how they’d be implemented on a machine.

Example:
To find the GCD (Greatest Common Divisor) of two numbers:

1. Divide the larger number by the smaller one.
2. Take the remainder and repeat the process.
3. When the remainder is zero, the last non-zero remainder is the GCD.

This is a classic math algorithm.

In Computer Science: Solving with Code

In computer science, algorithms are used to solve problems using computers. These algorithms not only give a solution but also consider how efficiently it runs—how much time and memory it takes.

Computer science algorithms are written in programming languages and designed to be executed by a machine. They must be precise and optimized.

Example:
A sorting algorithm (like Bubble Sort or Merge Sort) is a computer science algorithm that arranges items in order. It’s all about performance and execution.

In Short:

• Math algorithms focus on correct steps and logical reasoning.
• Computer science algorithms focus on efficiency, scalability, and implementation in code.

Both are powerful tools—one for the chalkboard, the other for your computer!