Discrete Mathematics is very much real world Mathematics. In nowadays discrete Mathematics is one of the core components of Mathematics at the undergraduate level. This branch of Mathematics is very useful for people to understand and have a background in Computing Science like algorithms and programming in computing. There is a big question set about the combination of Mathematics and Computing Science. The answer can be withdrawn from the fact that digital computers, referred to hereafter simply as "computers" are discrete machines. This means that the branches of mathematical analysis that depend on mathematics are the distinction between the integers and the real numbers. With this transmission became possible for people to solve differential and other equations numerically. Logic, sets, relations, algorithms and functions are some examples that make Discrete Mathematics interested and show us that this branch of mathematics has got data considered as objects.
Algorithm is a part of discrete mathematics and very useful for the computer science. An algorithm is the ability to carry out the correct steps in the correct order and should always be considered in the context of the certain assumptions. Algorithms of arithmetic, operate with integers which they depend on a digit integer. That was the definition of an algorithm in numerical situation. The connection with the computing science is that in nowadays the algorithms are designed to be used by a machine. So algorithms can be expressed in more languages like natural language , Java, C++. The computer solves a problem by way of a computer program, which as it is mentioned above is a list of orders giving detailed instructions about the action of the computer. Algo...
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... way. It is true that people who using computers daily they do not understand these connection between mathematics and computer science. Discrete mathematics is purely numbers for them. Important chapters of discrete mathematic are algorithms, functions, sets and Logic. Algorithms are useful for the programing design and is a basic step for the program operation. From Logic conclude that the line of orders in an algorithm can have different operation with the status “true or false”. Data structures that we can save information in a computer system based on Sets which is a part of discrete mathematics also. Functions can return results to the requesting program and other functions need to make requests of the operating system in order to perform their work in summary. So discrete mathematics is advantageous branch of mathematics which computer science is based on it.
Math is everywhere when most people first think of math or the word “Algebra,” they don’t get too excited. Many people say “Math sucks” or , “When are we ever going to use it in our lives.” The fact is math will be used in our lives quite frequently. For example, if we go watch a softball game all it is, is one giant math problem. Softball math can be used in many
The Computer Science Major involves creating programs in order to solve a problem or to complete a task. While it has many similarities to the other ITC majors, it is also different in many ways. Computer Science is unique in that it mainly focuses on making programs. It is a more conceptual study of programming. In other words, its focus is more about ideas and concepts than it is about business application. One more thing that makes this major unique is its heavy use of math and problem solving skills. These skills are very important to the major, because almost everything in Computer Science involves numbers. Another very important characteristic of Computer Science is the frequent use of variables and algorithms.
I also learned that mathematics was more than merely an intellectual activity: it was a necessary tool for getting a grip on all sorts of problems in science and engineering. Without mathematics there is no progress. However, mathematics could also show its nasty face during periods in which problems that seemed so simple at first sight refused to be solved for a long time. Every math student will recognize these periods of frustration and helplessness.
Mathematics is used to pay bills and to cook to give a few examples. It is also used to figure out different formulas for space. Mathematics is used for computing
Computer Science is the study of information and how that information is represented, stored, and manipulated for other purposes. Consider how a personal computer uses an operating system to store, access, and run other programs to view, manipulate, replicate, and share information. That is what computer science is, essentially, it is the backbone of all that is computing.
Computer science is a vast field that includes nearly everything relating to computers. Everyday there is information transmitted all over the Internet. Pictures are uploaded, transactions are made on thousands of online retail websites, and banking transactions take place everyday on the Internet. All of these transactions have created a need for secure communications. People wish to keep things like banking, medical, and political information from the eyes of unwelcome parties. This has created a need for cryptography. Cryptography is the science or study of the techniques of secret writing, especially code and cipher systems, and is used by everyone from the average citizen to the government and military.
Mathematics is everywhere we look, so many things we encounter in our everyday lives have some form of mathematics involved. Mathematics the language of understanding the natural world (Tony Chan, 2009) and is useful to understand the world around us. The Oxford Dictionary defines mathematics as ‘the science of space, number, quantity, and arrangement, whose methods, involve logical reasoning and use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis of mathematical operations or calculations (Soanes et al, Concise Oxford Dictionary,
Logic and Problem Solving: some people study Computer Science just because they feel that they could matter (fame) and think like Albert Einstein, Isaac Newton, Charles Babbage, Michael Faraday, Bill Gate when they study Computer
The field of Computer Science is based primarily on computer programing. Programming is the writing of computer programs using letters and numbers to make "code". The average computer programer will write at least a million lines of code in his or her lifetime. But even more important than writting code, a good programer must be able to solve problems and think logicaly.
Devlin believes that mathematics has four faces 1) Mathematics is a way to improve thinking as problem solving. 2) Mathematics is a way of knowing. 3) Mathematics is a way to improve creative medium. 4) Mathematics is applications. (Mann, 2005). Because mathematics has very important role in our life, teaching math in basic education is as important as any other subjects. Students should study math to help them how to solve problems and meet the practical needs such as collect, count, and process the data. Mathematics, moreover, is required students to be capable of following and understanding the future. It also helps students to be able to think creativity, logically, and critically (Happy & Listyani, 2011,
After my twelfth grade, the inherent ardor I held for Computer Sciencemotivated me to do a bachelors degree in Information Technology. Programming and Math, a paragon of logic and reasoning have always been my favorite subjects since childhood. I still vividly remember the time during my graduation,when I was successful in creating a simple calculator application as a class assignment.The joy I derived from creating something that is used by a lot of people to help them perform complex calculations,made me realize the power of computing in its true sense.It was also in my graduation that I developed an immense interest in programming languages such as Java, C++ an...
Mathematical logic is something that has been around for a very long time. Centuries Ago Greek and other logicians tried to make sense out of mathematical proofs. As time went on other people tried to do the same thing but using only symbols and variables. But I will get into detail about that a little later. There is also something called set theory, which is related with this. In mathematical logic a lot of terms are used such as axiom and proofs. A lot of things in math can be proven, but there are still some things that will probably always remain theories or ideas.
It was pure joy to learn how the Boolean logic makes computers work. In my undergraduate studies I took up courses in Software Engineering, Computer Networks, Data Structures, JAVA, Operating Systems, Computer Graphics, Design and Analysis of Algorithms, Database Management, Web Technology and Mobile Application Development. Practical application aspects were introduced to me through laboratories corresponding to the subjects.... ... middle of paper ...
As mathematics has progressed, more and more relationships have ... ... middle of paper ... ... that fit those rules, which includes inventing additional rules and finding new connections between old rules. In conclusion, the nature of mathematics is very unique and as we have seen in can we applied everywhere in world. For example how do our street light work with mathematical instructions? Our daily life is full of mathematics, which also has many connections to nature.
The article Guest Editors' Introduction: Algorithms and Today's Practitioner is about the use of algorithms in the world of software engineering. An algorithm is a set of rules that need to be followed in problem-solving operations .The practice of finding and using new algorithms had really died down until someone almost found the solution to the P=NP problem. The P=NP problem asks if a problem that can be verified by a computer quickly can be solved quickly by a computer. This boosted the interest of “algorithmic advances.” Since this increase in interest of algorithms, more people have wanted to become software