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Cyber Security Math And What You Need To Know

cyber security math
cyber security math

What is the cyber security math? Do I need math for cyber security? In short, you will learn about the importance of math skills in cybersecurity. In general, we will talk about the importance of math in cybersecurity. We want to explain and create awareness about the importance of mathematics in solving problems.

In fact, mathematics is the most important element and tool in the field of cybersecurity. The development of efficient, powerful, robust, and durable cybersecurity systems depends on mathematical solutions. In other words, problems should not be solved by trial and error, but by mathematical theories.

For example, the following covers math topics in cybersecurity.

  • Relations Between Decimals
  • Ways to store numbers in memory
  • Relations between sets
  • Solving complex problems with Graf Theory
  • Database querying
  • Data compression
  • Solving problems with mathematical equations
  • Data encryption
  • Knowledge of hardware tools
  • Data analysis and interpretation
  • Predicting the likelihood that problems will arise again
  • Interpretation of system behavior
  • Performing operations on numbers
  • Associating numbers and special symbols in software development

The above substances allow you to act consciously in the face of any problems. It also allows you to create practical solutions for solving problems.

Is Mathematics Essential for Cyber Security?

For the most part, cybersecurity always needs math. Informatics and mathematics are blended with different technologies, paving the way for new inventions and developments. First of all, the problems that arise as this interaction continues will be solved more quickly and easily.

I can also safely say that mathematics is the basis of departments of universities in the field of informatics. For example;

  • First; basic mathematics and science give the ability to solve engineering problems.
  • Secondly; have the ability to solve complex problems by identifying them with various methods of analysis.
  • Have knowledge of mathematics including probability, statistics, derivative and integral calculations, multivariate functions, linear algebra, and differential topics covering computer science.
  • In addition to these; analyzing the structure and functioning of computers, they have a lot of information about operating systems and database systems.
  • They also know the structure and operation of computers necessary for cybersecurity. In addition, they have a lot of information about operating systems and database systems.

For example, those who want to become professionals in this field often become IT specialists. In addition to the appropriate mathematical expressions, these experts have to solve the problems they face with software and hardware tools. For this reason, problem-based mathematics knowledge and solution development are becoming important.

As a result, computer science is based on mathematics. For example, from this point of view, cybersecurity mathematics is an indispensable tool for the mathematical solution of many problems.

What Mathematics Should I Learn for Cybersecurity?

First, I would say that it is extremely costly to set up a system for cybersecurity. In addition, it is a waste of time to perform system tests literally. Therefore, it is not possible to implement a system in a real environment. Therefore, it is more expedient to analyze it well and study the behavior of the system. That is why we have listed below the mathematical topics needed for cybersecurity.

  • Number Theory, Number Sequences
  • Set Theory
  • Relation
  • Function
  • Linear Algebra
  • Boolean Algebra
  • Chaos Theory
  • Algorithms, Algorithm Analysis
  • Matrix Theory
  • Probability and Statistics
  • Polynomial-Time Problems
  • Time Series
  • Graph Theory
  • Trees
  • Difference Equations
  • Fourier Analysis
  • Morphological Analysis
  • Integral and Differential Calculus
  • Geometry
  • Coordinates
  • Vectors
  • Transformations and Geometric Transformations

In addition, increasing cyber-attacks in recent years have started to bring about major problems. As a result, it is necessary to analyze the attacks well in order to overcome these attacks. For this reason, these analyzes occupy a very important place in the mathematics of cybersecurity. The size of malicious attacks is being tried to understand using these technologies. And various defenses are being developed against them.

As a result, the movements of malicious objects are estimated using mathematical equations. In order for the analysis based on cybersecurity mathematics to be successful, a more advanced testing environment should be provided. I also recommend that you read the IT security standards from Wikipedia.

Which Sub-Branches Should I Choose in Cybersecurity?

As you know, there are different areas of expertise in cyber security. A person can’t be an “expert” in all areas of cybersecurity. However, I believe that he should also know the basics about all areas.

Therefore, it is important to initially conduct studies related to each field, to engage in learning. Already later, you may notice which area you are working in with more fun. Thus, you will have the opportunity to choose the field in which you will specialize.

For example, I take care to apply this approach to our team. In our penetration testing team, we have different teammates who specialize in each of them; mobile, reverse engineering, malware development, web app, and network.

Theoretically conducting an opinion on a topic and doing it are very different things. To become an expert; It is necessary to know the technical characteristics, strengths, and weaknesses of the toolkits we use in safety tests to the fullest technical detail. As a result, it becomes important to know the technological infrastructure of the subject.

In other words, being a cyber security expert consists of getting a lot of practical experience and trying to learn almost everything. However, cyber security mathematics is at the heart of them.


Knowing the topics in the mathematics of cybersecurity makes a serious contribution to every specialist working in this field. Firstly, preventing both time and cost loss will increase efficiency and ensure a positive outcome for projects. Designing and solving algorithmically the problems encountered in this field requires mastering the mathematics of cyber security. But apart from these, it is also important to learn the best practices for cyber physical system security.

As a result, all these subjects do not require you to be an expert in mathematics. If you want to have a career in cybersecurity, being good at math gives you many advantages. But it is not necessary to be an expert mathematician for each sub-branch.

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