1. Реальная математика

    • Poems about math


      verses №1

      verses №2 (funny)

      verses №3

      As the air, mathematics needed
      Very little courage officer.
      Calculations! Volley! And the goal is struck
      Mighty Blow metal.
      And the soldiers remembered a moment,
      As a schoolboy dreaming of hours of learning:
      About feat squalls of fire,
      About furious burst of attack. .
      But the teacher was strict,
      And each time he broke off rude boy:
      - Dreaming pretty, repeat the story
      The properties of the circle and the square corners.
      And the love of a warrior preserved
      To the teacher away, gray-haired.
      As the air, mathematics needed
      Today, the young officer.

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    • Why Mathematics (source http://nperov.ru/razum/zachem-nuzhna-matematika/)

      Many people often wonder why math?. Often, the very fact that this discipline is included in the compulsory program of universities and schools, putting people in bewilderment. This confusion is reflected in the following: Like, why am I, a man whose future (or present) profession is not related to the conduct of calculations and application of mathematical methods to know math?

      Why Mathematics

      What I do is useful in life? So many people do not see any sense to themselves to learn the science, even at the elementary principles. But I believe that mathematics, more mathematical thinking skills needed to everyone. In this article I will explain why I am so sure. I will first explain why this discipline as scientific knowledge and methods needed at all and where is its place in the system of science and how it is applied in practice.

      If you know it is so, but I still wonder why the study of this discipline is necessary for you personally, then go directly to the second part of the article. There I will talk about what personal qualities helps develop math, and what you lose, if you refuse from the development of the subject, at least at a basic level.

      Place of Mathematics in the Sciences

      Mathematics - a fundamental science, the methods which are used extensively in many natural disciplines, such as physics, chemistry and even biology. By itself, this area of ​​knowledge operates abstract relationships and relationships, ie those entities, which themselves are not something real.

      Nevertheless, one has only to enter math to any science about the world she once embodied in the description, modeling and prediction of quite a concrete and real natural processes. Here she takes on flesh and blood, leaving under cover of idealized and divorced from life formulas and calculations.

      Mathematics - a tool of knowing the world

      It is a precise science, do not tolerate the arbitrary interpretation and different speculations. This incarnation of the order and a rigid logic. It helps to understand the world around us, to learn more about its laws, because these laws are subject to the same order that reigns in math!

      Language spoken by nature, we can successfully be translated into the language of mathematics and understand the structure of the relationship of a phenomenon. And, after we formalize these relationships, we can build the model to predict the future state of the phenomena that these models are described only on paper or in a computer memory!

      Einstein, when asked where his laboratory, he smiled and pointed to a pencil and a sheet of paper.

      His formula of relativity has become an important step towards the knowledge of the universe in which we live. And it happened before people started to master space and only experimentally confirmed the correctness of the equations of the great scientist!

      Applications in modeling and forecasts

      Thanks to the use of mathematics we do not need to carry out costly and life-threatening experiments before to implement any complex project, such as in space exploration. We can pre-calculate the parameters of the orbit of the spacecraft to be launched from the ground to deliver astronauts to the space station. Mathematical calculations do not allow people to risk their lives, and to estimate in advance all the necessary settings to launch the missile, ensuring safe flight.

      Of course she is a model and a model that can not account for all possible variables, so the disaster happen, but still it provides a fairly reliable forecasts.

      Embodiment mathematical calculation you can see everywhere: in the car, which drive in your computer or a portable device, which is now reading this article. All the buildings, the buildings do not collapse under its own weight due to the fact that all the data necessary for the construction of pre-calculated by the formulas.

      Medical and health care - also exists because mathematics is used, firstly in the design of medical devices, and secondly, the analysis of data on the effectiveness of a treatment.

      Even the weather forecast is complete without the use of mathematical models.

      In short, thanks to mathematics we have all the technology available to us today, do not expose our lives meaningless danger, build cities, explore the space and to develop a culture! Without it, the world would be quite different.

      Why math person? What abilities it develops?

      So, we found that mathematics is one of the most important achievements of culture and civilization. Without it, the development of technology and the knowledge of nature would have been unimaginable things! Well, you say, let's say, this is really an exact science is essential for humankind as a whole, but what is it for me personally? What does it give me?

      Mathematics develops mental abilities

      Mathematics allows us to develop some important mental qualities, about which I wrote in the article about the development of intelligence ( how to develop intelligence ). It is analytical, deductive (the ability to generalize), critical, forward-looking (the ability to forecast, to think several steps ahead) capacity.

      Also, the discipline improves the possibilities of abstract thinking (because it is an abstract science), the ability to concentrate, trains memory and enhances the speed of thought. That's how much you get! But at the same time you or your children have a lot to lose if you do not pay enough attention to this subject.

      In more detail, and to operate with specific skills, the math will help a person to develop these intellectual abilities

      • The ability to generalize. This special event as a manifestation of a general order. The ability to find the role of the private in general.
      • The ability to analyze difficult situations, the ability to make the right decision problems and determined under difficult choices.
      • The ability to find patterns.
      • The ability to think logically, and to reason intelligently and clearly articulate thoughts, to make proper inferences.
      • The ability to think quickly and make decisions.
      • Skills of planning ahead, the ability to hold in mind several consecutive steps.
      • Skills conceptual and abstract thinking: the ability to consistently and logically build complex concepts or operation and keep them in mind.

      An important point: I've got a certain number of questions from readers, so I here want to explain something. The above qualities develop not only the solution of problems from different areas of mathematics: trigonometry, probability theory, etc. You do not have to be dusty textbooks on these subjects, if you want to pull these abilities.

      Here I'm not just talking about math as a particular science, but rather about all the areas of knowledge, which applies mathematical method and dominates the accuracy, order and logic. So for some of the qualities of intelligence approach the study of the exact sciences, the solution of logical puzzles and even some mind games .

      Take what you closer and more interesting, there is no need to force yourself to study boring books, most importantly, to work as a head to the job require you to find nontrivial solutions and precision analysis. Just writing about it, to further it was clear what it was about.

      Mathematics is essential for a child's development!

      Especially important for the development of mathematics baby! It sets standards for the correct, rational thinking for a lifetime ahead! It gives a huge boost to mental development.

      I do not know any other school subject is able to raise the intellectual level so the younger the individual, and thus serve as a good tool for intellectual development later, at a mature age. I do not mean just as a matter of mathematics, algebra or arithmetic, I'm talking about the application of mathematical methods in general, including physics, geometry, computer science and so on. D.

      Mathematics organizes, manages and optimizes your thinking

      I will start this issue with well-known sayings of Lomonosov, the great scientist who has achieved success both on the basis of the natural sciences and in the humanities - a rare case of the universal mind. He said: "Mathematics should be taught only then that she mind in order."

      Mathematics trains such mental qualities that form the skeleton and the skeleton of all your thinking! This, first of all, the logical capacity. It's something that will organize all your thoughts into a coherent system of concepts and ideas, and the connections between them.

      Mathematics itself is the epitome of the natural order, and there is nothing surprising in the fact that it organizes your mind. Without the notorious logic in mind a person can not make the correct inferences, compare different kinds of concepts, he loses the ability to common analysis and reasoning. What can cause the phenomenon of "porridge in the head", the confusion of thought and reasoning, slurred argument.

      Such a person is easily misled, that in fact is usually the case, since he is not able to identify a clear violation of logic in any allegations of schemers and charlatans (For the second Plachenov experience with financial pyramids in our country suggests that the vast majority of people consider that Mathematics is not needed). Knowledge of mathematics does not allow you to cheat!

      So it's not just calculations and formulas, it is primarily the logic and order! This is a set of rules and features that make your thinking consistent and logical. This is reflected in your ability to reason, to formulate ideas, to keep in mind the complex concepts and build ornate relationship.

      What humanitarians need math?

      That will certainly come in handy even if you are going to succeed on the basis of some humanitarian disciplines as logic, systematic thinking skills and the ability to formulate complex theories are needed and there. Without this, it will be not a science, and verbiage.

      I heard about the brilliant lawyers who received the addition of legal education, in addition, physics and mathematics. This helped them, like a good chess players, to build complex combinations of options for protection in court, or to invent clever ways to interact with the legal framework and come up with all sorts of ingenious and non-trivial solutions.

      Why Mathematics in zhizvni

      Of course, getting especially specialized education in mathematics is not necessarily even, in my opinion, is redundant if you do not want to work in this field. But to master this discipline at the basic level of schooling and initial university courses, I believe, should and can each.

      Do not think that you are by nature it is not given that your vocation is the humanities and the exact items you are not able to teach. When someone says that negogumanitarny mind and, therefore, count, read, and the formula to solve the problems he can not, in principle, as it did not want to, you know, it's such an elegant attempt to justify the lack of development of mathematical abilities. Not their absence! But just the fact that these skills, for whatever reasons, are not well developed.

      The human mind - something universal, designed to solve a variety of problems. Of course, this assertion has its limits: one due to the peculiarities of their innate and acquired properties of thinking has some inclination to the development of different sciences. In addition, specialization often requires knowledge of something one: hard to be a great mathematician and, chemist, lawyer, teacher in one (do not we all MSU). Always have of something to choose.

      But the basic skills of mathematical thinking is able to master each! For some it's just going to be harder for someone easier. But it is the power of all. And as I said, it is necessary for the balanced development of your mind. From what you're interested in, for example, literature or psychology, should not be something that you do not need math and you just are not naturally capable of it somehow to master!

      One does not exclude, but on the contrary, look no further. "Humanitarian mind" in the context of the impossibility of mastering exact sciences - it's just one great big nonsense and an attempt to justify the unwillingness to learn the skills that are given with great difficulty than others.

      Why mathematics in life and in your work?

      Mathematics is useful in business. But maybe it is a profession that you are considering as your next call will not be connected with calculations, formulas, computer science, or analytics. Whether or not you are using this in their current job.

      But still, that does not mean it will last forever. Perhaps you want to change their profession. Or are you so tired mercenary work that you choose to organize your own business (and this happens quite often). The organization of independent companies always requires calculation, forecasting and analysis. You, as the head of the new business will need to possess appropriate skills, not all may be delegated to the employees of their work in any case need to be controlled.

      Without support in the form of mathematical methods of forecasting, modeling and analysis (at least on a primitive level, despite what your business) success in one's own business is difficult to achieve. Based on personal statistics, I can say that the greatest success in the business achieve usually graduates of technical, mathematical schools.

      It is not just knowledge of any special calculation methods, because it is never too late to learn if necessary. The key to a specific organization of the mind. Business - is a highly ordered system, the construction of which requires of its Creator with certain intellectual skills, structured thinking, the ability to synthesize and output relationship. The study of the exact sciences, as it is known - is developing these skills.


      Mathematics and other sciences are very important both for the development of humanity as a whole, and for the intellectual improvement of a particular individual. Of course, a balanced mental development of the personality implies not only the development of precise subjects, but also the humanities. Reading quality literature, for example, is also essential for you if you want to develop.

      But this is not enough. I would like to supplement the wording of this statement: "If you want to be smart you need to read a lot," adding to this "- and do the math." Otherwise, the effect of the mere reading of books is like a body without a skeleton or a building without a skeleton. One without the other is difficult.

      That is why many in the humanities, no matter how well they are not versed in their subject area, are suffering mental confusion and lack of sober judgment, and many avid mathematicians and geeks are closed in the world of abstract formulas and calculations, losing touch with the real world.

      The golden rule - everything is good in moderation, with a harmoniously developed intelligence, versatility at the most basic level! All together, the books and math! It is not a sermon in praise of dilettantism, no, his expertise you need to be a professional and a specialist, an expert in their field is. But as far as the base of your erudition and knowledge, there should be from a little of everything.

      I think that the idea of ​​the school of education and teaching in the early years of high schools, meets this principle of universality (just an idea on how it is implemented in practice, I do not presume to argue). I would have a very negative attitude to gain expertise in primary and secondary education, believing that the younger an individual should be given as much as possible in all of the different areas, and when he gets it, even if it chooses closer to him!

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    • Professions related to mathematics (source http://www.proprof.ru/)

      Mathematics - one of the most important school subjects. It is even more important due to the growth of science and technological progress.

      A significant level of development of this science is very necessary for progress in many sciences. At the moment, the profession related to mathematics, are widespread.

      It is hard to find at least one area of ​​expertise in which mathematics plays no role. It is known that the rapid development of sciences related to the penetration into them is a mathematical way of thinking and mathematical methods.

      This applies not only to physics, engineering and astronomy, but also such relatively distant from mathematics sciences as chemistry, geology, medicine, biology, archeology, economics, meteorology and others.

      Mathematics is needed in practice technicians and engineers, as well as in many other professions, skilled workers (see. engineering profession ).

      Mathematics as a science is the foundation of engineering. It is necessary to make numerous calculations of the parameters of a variety of engineering units, as well as many other settlements, to our homes were full of light and warmth. (See. Profession Engineer ).

      The important role mathematics plays in accounting. (See. The accounting profession ) She did not conceivable without the foundations of mathematics.

      Since you must pay for the services of partners, the supply of various materials, make payroll, and there is certainly no math anywhere, because it is necessary to make hundreds of thousands of arithmetic.

      All this care took up to a huge amount of time, if carried out without the aid of computer technology.

      For example, it is necessary to lay down a lot of big numbers. If to count in a column in the paper. The fact that, most likely, will take a lot of time. An experienced accountant to cope with this task with the use of the account for a short period of time.

      A computing machine required for such work only fractions of a second. Moreover, it checks the calculation several times.

      Modern computers in hundreds of thousands of times faster work than men. But the creation and management of such machines would be impossible without mathematics (See. Professions associated with computers ). But the scope of the machines is almost limitless.

      For example, to predict tomorrow's weather, it was necessary to do a lot of arithmetic operations. When calculating manually two experts spent to calculate these for about five years, and the machine do the work for an hour.

      In many major airports computers instead of man-manager run takeoff and landing aircraft.

      The computer is a better manager than the man he thinks faster, not nervous, never tired, and almost never make mistakes.

      It turns out that with the help of computer technology mathematics can control the flight of aircraft.

      And any such vehicle is subject to mathematical laws, but it was created by people who have high mathematical knowledge.

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