Hi Dr. Hassan Rashed Yassein

I think Computer can be used to implementations, so, it is tool but not branch.

Thanks Sanjeet Singh

But the computer science in the sequence 68 of Mathematics Subject Classification (MSC 2010)

Dear Hassan Rashed Yassein ,

Many of the Computer ( Science or Engineer) majors are based on mathematical knowledge as Logic, Boolean algebra, Numerical analysis algorithms, automata theory, and many other topics.

But computer majors in general, are not mathematics. One can find computer courses that are far from mathematics related to hardware and it needs a knowledge of electronics and other skills that are not mathematics.

Best regards

Thanks dear Issam Kaddoura

Theoretical computer science could be considered a branch of mathematics

*Computer science* has a lot in common with mathematics, yes. (I do not know that there is a subject called just "computer" - that must be a misunderstanding.) The subset known as automata theory is essentially the study of computing models, dealing with computability, for example. This is extremely important for the theory of computability, including the theory of complexity - which no-one can be unaware of nowadays.

Thanks Michael Patriksson

I am a mathematics branch if need help.

I think each is an independent discipline but there is a reciprocal relationship between them as they share a lot in common.

many thanks for you are clever.

Thanks Shaheed Kharbid

Thanks Hazim Al Dilaimy

Mathematics means proofs. Without proofs you have no mathematics but mathematical formalism. The implementation of an algorithm is no mathmatics.

This is a very good question. In addition to the helpful answers already given, there is a bit more to add.

A related question that first appeared on RG five years ago is

What is mathematics?

https://www.researchgate.net/post/What_is_mathematics

I mention this related question, since the question for this thread is actually asking if Are computational methods part of mathematics? The answer is in two parts:

Implemention part: Computers are commonly used to implement methods that flow from results (theorems) in mathematics. The Borsuk-Ulam Theorem (BUT) is an example.

Borsuk-Ulam Theorem: Basic Idea.

Let Sn denote an n-dimensional hypersphere, which is a generalization of a circle.

Every continuous map f ∶ Sn ---> Rn must identify a pair of antipodal

points p and p' on Sn so that f(p) = f(p').

For more about BUT, see chapter 5 in

Book Computational Proximity. Excursions in the Topology of Digital Images.

For a sample implementation of a variation of BUT, see

Article Brain activity on a hypersphere

Computational part: This an algorithmic approach to mathematics that is highly theoretical. For examples, see

Book Computational Topology: An Introduction

Thanks James F Peters

If one can enumarate reasonable things that can be done with a computer that do not use an underlying mathematical approch, I can agree that "computer" is not a branch of mathematics. Until now, "computers" are ... mathematics.

Thanks Velina Slavova

Thanks Georgios Zouraris

Not entire computational science but a part of it named computational mathematics involves use of computational techniques and programming.

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I don’t think Computer science could be considered as the branch of mathematics. Theoretical computer science, dealing with computer programs, studies of algorithms, complexity, automated theorem, graphics, machine learning etc. make use of Logic and Mathematics.The study of algorithms bridges mathematics and computer science. At the processor level, all mathematical operations are performed using circuit implementations of basic logic operations (AND, OR, NOT, etc.). Actually computer science usually includes many things which can’t be considered as mathematics, for instance computer architecture, specific programming languages. The day to day work of programmers isn't mathematical. In fact Computer science is the theory, experimentation and engineering that form the basis for the design and use of computers. It involves the study of algorithms that process, store, and communicate digital information. Computer science is about taking complex problems and deriving a solution from mathematics, science and computational theory.

Otherwise, everything could be considered as a branch of Mathematics.

Thanks Vinod Mishra

Thanks Anita Tomar

@Anita Tomar: Computer science is about taking complex problems and deriving a solution from mathematics, science and computational theory.

In effect, Computer scientists go about their daily work in a manner similar to Physicists. Both computer science and physics apply (make extensive use of) Mathematics to represent and explain their observations and results. In other words, the focus in computer science and for computer scientists is on algorithmic solutions to common problems, using mathematics to explain, represent and formulate steps in algorithms. By contrast, Mathematics is quite different from Computer science. For more about the nature of Mathematics, see the discussion started 5 years ago on RG:

https://www.researchgate.net/post/What_is_mathematics#view=5c2d3cc2c7d8ab756e44b6a9

This is essentially what @Sanjeet Singh has observed.

As an electronic device, a computer operates under the control of specific instructions for processing the received data according to specified rules. It involves both the study of targeted theoretical algorithms and the practical problems implementing them through special digital hardware and software. Generally speaking, computer science encompasses many branches, including artificial intelligence, software engineering, programming , and graphics. Such core tributaries ,one way or the other, have a symbiotic relationship with mathematics because they draw in on abstract science of numbers, quantities and space which may have a great bearing on computer operations . As a consequence, many tend to equate computer science with applied mathematics.

Thanks James F Peters

Thanks Reza Biria

In an applied way, yes:

Thanks Polina Lemenkova

I don't think so

Thanks Fateh Boutekkouk

Thanks Marwan Khaleel Yousif

They are two independent disciplines but they are complementary to each other. The findings of one discipline depends on the findings of another.

Thanks Hazim Al Dilaimy

The word "computing" itself is a mathematical term. Computers are essentially super calculators. Mathematics initiated Computer Science but Computer Science took Mathematics to a whole different level. They're inseparable.

Thanks Sadanand Pandey

No. The usage 0 and 1 is what makes a computer that's it

Thanks Rumani Dey

Computer science using various computer languages was developed to solve mathematical problems which otherwsie were difficult or impossible to solve analytically. Thus there is a great degree of commonality between computer science and mathematics. Computer engineering on the other hand is more to do with networks and systems involved in computers.

math is the primary science for each other science, so without the math all thing be difficult.

however computer cannot consider as a branch of mathematics

Thanks Nirmala S.V.S.G

Thanks Zahraa Chaffat Oleiwi

لما كان كل جهاز كومبيوتر بكل أنواعه يتضمن حاسبة لإجراء العمليات الحسابية.فلا بأس أن ننظر إلى هذا الجهاز بكونه أحد السبل المهمة لتعلم علم الرياضيات

Thanks صلاح حسون جبار

Arithmetic and logical unit in Cpu

What do you mean by your answer? Rumani Dey

This is what books have taught us. But the key point in terms of research I would still stick to my first answer. What is the psychology behind the computer and that equation which gives us the answer to this invention is 'I will ease your work, make you lazy and sick'. Equation of the computer and using 0 and 1 only is known. There are quantum computers also where Einsteins theory of relativity is used. Equation I did not decode yet but it's not impossible job

Thanks Nour Shakir

Yes.... Computer can be use in mathematics but it is not a branch of mathematics. I am agree with Sanjeet

Thanks Krishna Kumar Yadav

computer is not a branch of mathematics

Thanks Mala Babagana Gutti

Thanks Rumani Dey

Computer programming algorithm syntax depends mathematical formulating exactly. We will have to confound that in advancing artificial intelligence machine.

Thanks Rajan Iyer

In some sense, all human understanding can be subsumed under mathematics.

Thanks Dennis Mazur

There are a huge different between them.

Though computer can be used for mathematics purposes, it is not a branch of it. Computer goes far beyond mathematics.

In my opinion I think it mood of operations are based on a mathematical concepts but not a branch of mathematics.

Thanks Humphrey Danso

Thanks Michael Stanley Peprah

We can say that it's true to some extent.

Thanks Kundan Raj Parajulee

The term "Computer" if stands alone then it means a computing device or computing machine. There are fields concerning "computer" itself and fields related with computer such as Computer Science, Computer Engineering, Computer Mathematics,.... So, "Computer" is not a branch of mathematics.

Hardware and programming are not part of mathematics, but they can be informed by answers to theoretical questions.

Thanks Dang Quang a

Thanks Dmytro Leshchenko

Computer is not a branch of mathematics. Though can be used for it .

Thanks Baidaa Mohammed Ahmed

Computer can be used for performing, evaluating, and verifying the solution of mathematical problems but it's not a branch of mathematics

Thanks Md Nurunnabi

Hi Dr. Hassan Rashed Yassein

I think Computer can be used to implementations, so, it is tool but not branch.

Thanks Najlae Falah Hameed Al Saffar

I think thay two alternative domine.

Thanks Ali Raheem Mohammed

There are many mathematical applications can be solved using Computer so, we can't say that computer is branch of mathematics.