Do I really need maths in programming?
Do I have to be good at math to become a programmer?
How much maths do I need to know to succeed as a programmer?
If someone isn’t great at math, can they still pursue programming?
These are among the frequently asked questions by beginning or aspiring programmers.
Mathematics is an important subject for everyday life and has been used to solve problems in many fields for centuries.
Even without realizing it, you’re using mathematics in one way or the other in your day to activities.
Whether you are buying, selling or planning your daily expenses, you’re performing some sort of calculations.
So, what’s mathematics?
Mathematics is the study of numbers, quantities, and shapes, and the relationships between them. It includes topics such as algebra, geometry, calculus, statistics, and more.
It has been considered an essential tool for scientists, engineers, and economists. In programming, mathematics is used to solve problems that require logical and analytic thinking.
So, what’s the connection between mathematics and programming?
Relationship between mathematics and programming
Mathematics and programming are closely related and have a strong interdependent relationship.
For example, the binary system, which is the foundation of computer technology, is based on mathematical principles.
Algorithms and data structures rely heavily on mathematical principles.
Machine learning utilizes statistical and mathematical models to analyze data and make predictions.
In graphics and game development, a strong foundation in mathematics, especially geometry and linear algebra is required to create realistic graphics or develop games that respond accurately to user input.
Now, let’s look at the various ways that the knowledge of mathematics can improve your programming skills.
Ways Mathematics Can Improve Your Programming Skills?
Mathematics and programming are intimately linked, and understanding the connections between them can help you become a better programmer.
It is an essential part of programming as it provides the logical foundation for solving complex problems.
So, if you’re aspiring to become a software developer or new to programming, here are 5 ways that mathematics can improve your programming skills:
1. Mathematics improves your problem-solving skills
Studying and solving mathematics improves your ability to solve problems. To solve a problem in mathematics, you will first understand what the problem is really about and what is expected from you.
You then break the complex problems down into smaller, more manageable parts and analyze each part independently.
This way, it is easy to identify patterns and relationships that can be used to arrive at the right solution.
Applying this approach to programming, you can handle any programming task presented to you regardless of how complex it may seem.
Before delving into coding, you will strive to understand the problem and what is expected from the solution. From there, you can come up with a step-by-step plan, otherwise known as an algorithm for solving the problem.
2. Mathematics improves logical and analytic thinking
By studying mathematics, you develop the ability to think critically, analyze data, and solve complex problems.
Solving math problems requires you to carefully examine the problem and identify the key components that need to be addressed.
Since there are often clear rules and principles that need to be applied to solve problems, you’re required to use logic and deductive reasoning to apply the rules correctly and arrive at the correct solution.
Also, there is often a clear right or wrong answer. This means you need to use analytic thinking to check your work and make sure you arrive at the correct answer.
As you become better at maths, you don’t need anyone to tell you if your solution is correct or not. On your own, you can tell if the solution is correct or not and if not correct, you can easily spot where the mistake came from and fix it.
Applying this skill in programming, you will be able to approach problems in a systematic and structured way and come up with efficient solutions.
3. Mathematics build perseverance
There is a special sense of accomplishment or victory that comes with solving mathematical problems, especially difficult ones.
A lot of times, you hardly get the correct answer on the first attempt. Knowing that every mathematical problem is solvable, you have to come up with more plans until the problem is solved.
In essence, solving mathematical problems often requires persistence, as it can take many attempts to arrive at the correct solution.
This can help develop perseverance, as it requires the ability to keep working through a problem even when it seems difficult or unsolvable.
If you apply this same energy in programming, you discover that you can solve any problem without giving up.
If not for anything, mathematics gives you the “I can do it” mentality. With this mentality, you’re on the path to success in your programming career.
4. Mathematics makes you a fast thinker
Mathematics involves a great deal of mental calculation, which can help to increase one’s mental agility and overall cognitive speed.
Just as indulging in physical exercises builds your muscles, solving exercises or problems in mathematics builds your brain.
Engaging in this type of mental exercise helps to develop problem-solving skills and improves a person’s ability to think quickly and efficiently.
It also helps to build mental agility and flexibility, as one learns to approach problems from different angles and consider different solutions.
By practising math regularly, one can develop the ability to perform complex calculations quickly and accurately.
5. Solving mathematics builds your confidence
As you become better at mathematics, you become more confident in yourself.
The more you solve problems, the more you gain confidence in your problem-solving abilities.
Over time, you will find out that no problem no matter how complex it may seem will intimate you. You will tackle whatever problems that come your way head-on with tenacity and never giving up attitude.
The confidence that comes with the knowledge that you can solve any problem gives you the power to tackle any programming challenge that comes your way.
How much maths does a programmer need to know?
Surely, you don’t have to be an expert in mathematics to venture or succeed in programming. Basic knowledge of mathematics is enough for most programming projects.
Once you can do basic arithmetic such as addition, subtraction, multiplication and division, you can do coding.
But if you’re really interested in pursuing a career in programming in areas such as machine learning, data science, simulations and gaming, you need more than basic mathematics.
To succeed across multiple programming domains, you need a strong foundation in mathematics, especially in algebra, calculus, probability and statistics, discrete mathematics, and number theory.
However, the specific mathematical concepts and techniques required will vary depending on the field of programming and the specific applications involved.
As the world is moving towards data science and artificial intelligence, you need more than a basic knowledge of mathematics.
For example, a programmer working on front-end web development may not need advanced mathematical skills beyond basic algebra and geometry, while a programmer working on machine learning and artificial intelligence will need a deep understanding of calculus, probability and statistics, and linear algebra.
It’s important to note that programming is not just about math, and there are many successful programmers with just a basic knowledge of mathematics.
Relevant mathematical topics for programmers
Programming involves using logic, algorithms, and data structures to solve problems, and these concepts rely heavily on mathematical principles.
Here are some of the relevant mathematical topics that programmers should know.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols. In programming, algebra is used to write and manipulate mathematical expressions, simplify code, and solve equations.
Calculus
Calculus is the study of continuous change and is essential for understanding and solving problems in fields such as physics, engineering, and economics. In programming, calculus is used for optimization, machine learning, and simulation.
Probability and Statistics
Probability is the study of chance and uncertainty, while statistics is the study of the collection, analysis, and interpretation of data. In programming, probability and statistics are used for data analysis, machine learning, and artificial intelligence.
Discrete Mathematics
Discrete mathematics is the study of mathematical structures that are discrete and finite, such as graphs and sets. In programming, discrete mathematics is used for algorithm design, data structures, and computer networks.
Number Theory
Number theory is the study of the properties of numbers, especially integers. In programming, number theory is used for cryptography, encryption, and security.
How can I learn mathematics?
Mathematics like any other subject can be learned. Nobody was born a mathematician. It is one of the simplest subjects to learn if you are patient enough to understand the principles.
Learning mathematics is not as hard as it is portrayed. In fact, maths could be quite easy if you can slow down and understand it.
Start from the first principles.
If you’re struggling with the subject, perhaps it is because you’ve not given it enough of your time.
Once you familiarize yourself with the subject, you will be convinced that it is not only fun but simple as well.
Just make it a habit to be studying maths.
Maths is practical and not a subject you read casually.
It requires active learning where you read and solve problems.
Ensure that you solve all the problems. Each problem you solve gives you the confidence that you are progressing and nothing is impossible.
The more you solve problems the more you develop your ability to perform critical and logical thinking. You develop the part of your brain that you can instantly come up with a solution to a problem almost immediately that you encounter it.
Make it a habit to be solving mathematics problems whenever you are chanced.
It can even be your hobby!
If you find yourself not doing anything, you can pick your maths books and start solving problems.
You can start with algebra and then proceed to geometry, statistics and calculus.
Once you’ve mastered the basics and you’ve trained your brain to think fast, you can pick up any topic in mathematics and master it.
Recommended mathematics books for programmers
Choosing a mathematics book can be a challenging task, especially if you are new to the subject or not sure what topics to focus on.
However, the following books are a few examples of the many excellent mathematics books that can be useful for programmers.
1. Bird’s Higher Engineering Mathematics 9th Edition
Higher Engineering Mathematics is a comprehensive textbook containing over 600 practical engineering examples and applications that bridge the gap between theory and practice.
It covers a wide range of topics in detail, making it an excellent resource for undergraduate and upper-level vocational courses.
Additionally, the companion website offers valuable resources for both students and lecturers, including essential formulas, full solutions to all 2,000 practice exercise questions, and illustrations and answers to revision tests.
2. Introduction to Linear Algebra by Gilbert Strang
Introduction to Linear Algebra is a book that’s perfect for beginners. It starts off by introducing the concepts of independent columns, rank, and column space of a matrix early on, which helps to make the material more engaging right from the start.
From there, the book covers classical topics such as linear equations, fundamental subspaces, least squares, eigenvalues, and singular values, with each idea expressed as a matrix factorization.
Strang explains everything clearly and thoroughly, making this book an excellent resource for anyone looking to learn linear algebra.
3. Statistics For Dummies
If you’re looking to better understand statistics, Statistics For Dummies is the book for you. It covers everything from interpreting graphs and charts to using probability to determine odds to setting up hypothesis tests and computing statistical formulas.
The book is filled with practical advice and real-world examples to help you improve your classroom or on-the-job performance.
In addition, there’s a practical guide that simplifies discrete math for those who are curious about it and shows how it can be applied to solve problems related to software development, computer algorithms, and data science.
Conclusion
Mathematics is an essential tool for programmers. It is not only used to solve programming problems, but it is also the foundation of computer technology.
Programmers who have a strong background in mathematics are better equipped to solve complex programming problems and are more valuable to employers.
Overall, a programmer needs to have a strong foundation in mathematics, especially in algebra, calculus, probability and statistics, discrete mathematics, and number theory.