Most of you are probably aware of the close relationship between math and computers. Numbers, in their most basic form, are what bring entertainment, communication, and information to our homes and fingertips. Logic and numbers go hand-in-hand when it comes to programming. Math is one of the most essential tools for programmers to create complex applications. A programmer is essentially handicapped if they lack mathematical knowledge. Therefore, it is crucial that all programmers have a solid understanding of some mathematical concepts that are essential to programming.
Math is not only closely related to computer programming, but it also serves as a foundation for it. In fact, math is a prerequisite for college degrees in subjects like computer science, information technology, information systems, and other related ones. In order to fully comprehend computer programming and the science behind its operation, we must first understand the math that forms its structure. Although it would be impossible to summarize all of the mathematical mechanics of computer science in one article, below highlighted are a few of the most important ones.
Math for Basic Programming
Any computer’s basic functionality is based on binary math, and binary is used to represent each number in the computer. For low-level hardware programming, binary reading and basic mathematical operations are essential. For many programming tasks, such as changing an object’s color, it is necessary to be familiar with the hexadecimal number system. Many programming tasks involve using standard arithmetic, and almost every program that has been written uses addition, subtraction, multiplication, and division. Many computer programmers will run into simple issues that are solved using algebra.
Math for Advanced Programming
A computer science degree necessitates passing numerous math courses. These include statistics, calculus I and II, college algebra, and college statistics. In computer programming, these lessons are applied in two different ways. Solving difficult equations with the math that has been taught is the most obvious application. The less obvious fact is that the abilities acquired to master advanced math are similar to those needed to build complex applications. These abilities include logic and the ability to follow intricate step-by-step procedures.
Math for Specific Applications
Often, the specific types of math techniques required will depend on the application of the program being created. Many times, matrices are transformed using linear algebra. Both 2D and 3D modeling, as well as computer-aided design and photo editing software, use matrix transformation. Differential equations are often used in software that simulates traffic or health conditions, and there are numerous computer applications that use statistics, such as card games, reports, and polls.
Math and computer science are intimately linked, and every programming problem is an underlying math issue, with programming serving as merely a tool for performing computations and obtaining results. For computer science majors, math is necessary because it fosters problem-solving skills, also referred to as algorithmic reasoning. Learners must apply this reasoning in order to construct and produce quality program code. Furthermore, it also teaches programmers how to express ideas in abstract language, work with algorithms, evaluate their own computational thinking, and accurately simulate real-world solutions.
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Reference:
- What Types of Math Do Computer Programmers Use? (n.d.). Retrieved July 2, 2022, from https://www.techwalla.com/articles/what-types-of-math-do-computer-programmers-use