The Nature of Mathematics

Using the computer created new work conditions for a mathematician, at the same time bringing about severa... ... middle of paper ... ...objects. Because there can be shown an analogy between mathematics and natural sciences. Physical objects are recognized in the process of our experiencing materialistic reality. The experiment in natural sciences can be defined as a dialogue between the learning subject and the nature, which exists objectively. If we treat the experiment in mathematics in similar way, then there has to be two interlocutors: a mathematician and the field of mathematical objects, subjected to its own rules independent on the researcher's will.

The answer can be withdrawn from the fact that digital computers, referred to hereafter simply as "computers" are discrete machines.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.

Pythagoras is certainly not noting the existence of the formula, but, rather, he is noticing the relation between a hypoteneuse and its sides. This relationship comes to be expressed in his formula. So we already see that while a genuine relationship exists between a hypoteneuse and its sides, a genuine theorem is contingent on language; the language in this case is that of mathematics. We are met, then, with two questions. The rst is whether we should consider the terms of mathematics, such as wo" or four," to abstract or concrete.

Matrices are used with computing. If needed, it will be very easy to add the data together, like we do with matrices in mathematics. Matrices in computer design software are how the programs relate things mathematically. Without this computational power, there would be less large structures because it would be more difficult to design them efficiently. From the above, we can see that there are many and very useful ways matrices could be applied in our everyday lives and even in the future.

Mathematics contributes to everyday life in some way or another. Some situations are simpler than others. Someone may just have to use simple addition or subtraction in paying his or her bills. Or someone may even have to use more complex math like solving for a missing variable in an equation to figure out the dimensions of a building. Mathematics will always be used in everyday life.

Art And Mathematics:Escher And Tessellations On first thought, mathematics and art seem to be totally opposite fields of study with absolutely no connections. However, after careful consideration, the great degree of relation between these two subjects is amazing. Mathematics is the central ingredient in many artworks. Through the exploration of many artists and their works, common mathematical themes can be discovered. For instance, the art of tessellations, or tilings, relies on geometry.

Some people think they do not need to use math in every day life, but if they look in their life, they can find many applications. According to Man Keung in the article “"Mathematics: What Has It to do with me? "” The author says “In fact, we are basically living in a world of mathematics. Mathematics is “present in our surroundings, affecting our daily lives directly or indirectly. Its past, present, or, we can even predict, its future, will always be fascinating and exciting”” (91).

The discrete mathematics provides a rich and varied source of problems for exploration and communication. Discrete mathematics also helped to analyse and have several types of reasoning such as logical thinking (logic used in mathematics statements and arguments), relational thinking (solving a mathematical problem and describe the relationships), quantitative thinking (counting the element), analytical thinking (algorithms) and recursive

Some people think they do not need to use math in every day life, but if they look in their life, they can find many applications. According to Man Keung in the article “"Mathematics: What Has It to do with me? "” “In fact, we are basically living in a world of mathematics. Mathematics is “present in our surroundings, affecting our daily lives directly or indirectly. Its past, present, or, we can even predict, its future, will always be fascinating and exciting”” (91).

When we talk about topics such as Logic and Mathematics, we tend to think of certain, only abstract concepts. The word ‘Logic’ in this title can mean an analysis of a hidden structure associated with syntax of propositions, while the word ‘Mathematics’ can be defined as a specialized kind of abstract language. The title itself follows the concept of opinion and proposition that states both Logic and Mathematics are nothing but specialized linguistic structures, meaning these topics are considered only to be the study of human language, from the sounds and gestures of speech, up to the organization of words, phrases, and meaning. I believe that Logic is not a language itself, but helps to provide a base for all types of languages in the process.