Uses Of Mathematics In Computer Application

Mathematics is a fundamental part of computer application, every computer scientist or programmer needs to have some basic knowledge about mathematics. Imagine a skyscraper. What is the most important part of this building? No, not it’s not just the height but mainly the foundation of these buildings. If these skyscrapers did not have a strong foundation, they would have been more likely to fall than stand. Now in the case of computer application, mathematics is the foundation on which computer science is built.

There is wide usage of application of mathematics in computer science and the command of mathematics depends on these particular demands. Some computer science careers require only basic knowledge of mathematics. For example, if you know simple arithmetic and basic programming languages, then you can develop basic mobile apps. But if you want to explore advanced fields such as computer security or operating systems, then you’ll have to understand some advanced-level math concepts. Some mathematics concepts used in computer applications are as follows.

Binary Number System

In computer science the number system is a way to represent numbers. Computers use the binary number system instead of the decimal number system. According to digital electronics and mathematics, this system uses only two digits, 1 and 0, to express all mathematics concepts. It can be inconvenient for humans to deal with this system, but computers can read only binary. There are three more number systems as other alternatives which are octal, decimal, and hexadecimal which makes more sense to humans and converts electrical signals into binary systems.

Discrete Mathematics

Discrete Mathematics is tangible math and the foundation of computer science. It analyses the relationship between distinct and separate things. It is also used to test out multiple algorithms and find which is the most efficient. It will help you, how to approach programming and developmental tasks more methodically. The concept of discrete math includes probability, combinations, logic, number theory, graph theory, set theory, algebra, etc. Discrete math is used in various areas such as functional programming, computer architecture, databases, algorithms, distributed systems, computer systems, machine learning, networks, operating systems, and computer security. Some examples are given below with applications

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Statistics

In the past few years, Data has become an increasingly important aspect from personalised app performance to machine learning and artificial intelligence. This increased assuredness of scientific data has made statistics an important topic for all computer science students. Statistics is used in computer science that uses representations, quantified models, and synopsis for a provided collection of experimental data. In the statistics field, we study methodologies to review, obtain, evaluate and form conclusions from experimental data.

Some statistics parameters include analysis of variance, mean, skewness, and regression analysis. It plays a fundamental role in computer applications as it is used for machine learning, data mining, future modelling, vision and image analysis, speech recognition, and artificial intelligence. It is also used for simulations.

Calculus

It is concerned with the calculation of continuous change and the rates of change that occur. It considers the finding and properties of derivatives and integrals of functions. It is used in an array of computer science areas such as creating graphs or visuals, problem-solving applications, simulations, coding in applications, the design and analysis of algorithms, and creating statistical solvers. There are two different types of calculus in mathematics.

• Integral calculus

• Differential calculus.

Integral calculus is used to determine the quantity where the rate of change is known and differential calculus deals with the rate of change of a quantity. A differential equation calculates how fast that change occurs so a computer can predict future results.

Linear Algebra

Linear algebra is concerned with mathematical structures. It is the study of linear combinations and their transformation properties. It includes various topics such as polynomials, linear equations, matrices, factoring, operations, determinants, exponents, rational expressions, quadratic equations, ratios, radicals, rectangular coordinates, proportions, and vector spaces.

Algebra is used to design formulas that are used in numerical programs and for scientific computations. It also is used in computer applications to develop software and algorithms for working with mathematical objects. Algorithms are basically a set of instructions that takes you from a specific input to the correct output. All the concepts of linear algebra have real-world computer science applications. For example, exponential relationships can help you to adapt visuals.

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Mathematics As An Analytical Tool

In computer applications, analytical skills are necessary for data analysis and problem-solving. Mathematics is always used to analyse equations and understand the mistakes that we made. In programming computer scientists or programmers are guaranteed to make a mistake. This mistake needs to be fixed to get a final solution. So, mathematics provides us with these analytical skills to find and fix bugs. The experience and knowledge gained about debugging are invaluable.

In mathematics, students analyse their own work. When a student answers a question, then realises that the answer is unreasonable then he analyses his own process to understand his mistakes and know how to fix them. In short, mathematics prepares students for fixing bugs or errors.

Mathematics To Understand Abstract Language

Computer Science has its own language which is abstract. Using syntax, one must represent specific commands, symbols, processes, single words, and visuals through punctuation. Learning a computer programming language can be difficult without experience thinking and communicating in abstract language. Mathematical languages that students learn in maths class are very similar to abstract programming languages. From simple mathematical equations to complex representations, learning mathematics teaches students the art of comprehending, formulating thoughts, reading, and communicating with abstract language.

Mathematics in Modelling

Facts and figures are essential for computer applications. As computer applications interact more with our real world, the importance of accurate modelling to that world grows through mathematics. For example, to build a self-driven car that is based on the concept of artificial intelligence and machine learning, the equations used to program its acceleration, turns and the acceptable distance from other cars must be spot-on.

This article comprehensively discusses the role of mathematics in computer science which justifies that mathematics is the foundation on which computer applications are built. A fair amount of mathematical knowledge and skills are required to become a computer scientist. From UI to hardware, everything is designed based on some mathematical models. In short, to succeed in computer science you need to think mathematically.