Mathematics is a science that created from the examination of geometric figures and processing with numbers. For science, there is no generally acknowledged definition; today it is typically depicted as a science that researches dynamic structures that it made itself by legitimate definitions utilizing rationale for their properties and examples. It is a science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter. Since the 17th century, mathematics has been an indispensable adjunct to the physical sciences and technology, and in more recent times it has assumed a similar role in the quantitative aspects of the life sciences.
Purpose of Mathematics:
Mathematics is not just a tool but the root of every science. In physics, for example, we have chosen to study how the world works by using forces. But forces are represented as a vector, which is a mathematical element with a lot of properties. Mathematical is a universal language that can be used by everybody, even if they don’t always understand it.
we use our computer which works with data process. Data process is about logical mathematics. So, if you understand that mathematics is important to communicate nowadays, you can understand that logical mathematics is worth to be studied. There are a lot of other branches in mathematics than can be used to understand our environment: art, sport, innovations, literature.
Philosophy is about understanding the human brain and behavior. And the method to demonstrate a theorem in math is the same one to explain behavior in psychology: first, you observe many times the same fact. Next, you assume it’s true and you look for an explanation. Finally, with the hypothesis you have made, you prove it.
To conclude, you may not see the use of mathematics now and maybe you’ll not be needed a lot of math in your life, but I hope I you can understand now why is it important to everyone to study mathematics.
Mathematics with Other Subjects
Mathematics is “Science of all Sciences” and “Art of all Arts”. Subsequent to understanding the essential idea of science, understudies need to correspond the significance and idea of arithmetic with different subjects, in order to comprehend different subjects effectively and building up a relationship. Mathematical knowledge plays a crucial role in understanding the substance of different subjects.
Relation of mathematics with language and literature:
In math, the beauty lies in showing an elegant solution or constructing a model to represent a problem while in literature, you find the most elegant way to tell a story or construct a sentence. Hence both require a lot of creativity. (Einstein: “Logic will get you from A to B; imagination will get you everywhere.”) Because of the amount of creative thinking involved, both can be very painful endeavors. Hemingway: “There is nothing to writing. All you do is sit down at a typewriter and bleed.”
The French poet Paul Valéry once expressed his great admiration for mathematics, saying, “I worship this most beautiful subject of all and I don’t care that my love remains unrequited.” Valéry is not the only writer with this enthusiasm for mathematics—just as there are many lovers of mathematics in the world of literature, so are there many lovers of literature in the world of mathematics despite the thick brick wall that seems to stand between the two disciplines. At a glance, mathematics and literature have no reciprocity as subjects and no one to date has been successful in both fields, yet some mysterious magnetic force draws them together.
What’s interesting is that both endeavors try to tell a truth about the world we live in. A mathematical model and dramatic conflict in literature both sorts of occurring in a vacuum; they are separate entities from reality because they both selectively isolate parts of reality to achieve their goal. For example, the Solow growth model attempts to explain economic growth by choosing variables such as Capital (K) and Labor (L) that are believed to affect economic growth. The model plays around with these variables to see what happens to the result when you increase or decrease a variable. The production function is directly correlated with the output a country produces, and the model attempts to explain this law. This mathematical model helps a country create more output because it tells us the country how capital, labor, and technology are related. But there are also things it doesn’t tell us: like how bad climate can really affect K and L. The model ignores parts of reality in order to isolate what it is trying to tell us.
Literature in a way does the same. In Romeo and Juliet, Shakespeare deliberately sets up a world where there are feuding families, love at first sight, and magic potions that can put you to sleep for days while making it look like you are dead. He then plays around with the characters to see what happens if the girl and boy from the feuding families fall in love. Needless to say, tragedy ensues. Even worse, poor Mercutio dies. What is Shakespeare trying to tell us through the conflict that he has set up? That love, at first sight, is ridiculous and dangerous? Or that people should try to communicate better? By reading and analyzing the dramatic conflict of the play, we learn something about our own lives.
Or another example, George Orwell’s 1984 shows us what could happen to citizens living in a totalitarian society. In the world of 1984, the government with absolute power watches everyone and uses technology to manipulate everyone’s thoughts. This sort of setting causes our main characters, who are supposed to be lovers, to betray each other. Orwell uses this reality that he has created to show us the importance of free speech, democracy, etc. His book has also allowed us to improve our society and stay away from the dangers that he has envisioned.
Relation of mathematics with Physics
child should have rich knowledge of mathematics to understand physics. Generally, final shape to the rules of physics is given by mathematics; it presents these rules in a practically workable form. Mathematical calculations occur in every step of physical science. Charle’s law of expansion of gases is based upon mathematical calculations, numerical problems on liquid, pressure, frictional force, laws of motion, gravitation, momentum, etc.
Physics’ value is in modeling the world at the most precise scales, generally trying to build ground-up pictures of the world (both for fundamental physics and, say, solid-state physics).
Math’s value is in developing tools that you can bring to bear on a variety of problems – physics or not (and know, for certain, that they work, which might be said to be “in logic” in a sense, I suppose). Thus, math’s ultimate value (arguments of beauty aside) is also in modeling the real world.
Physics uses a hammer to build a house from boards and nails. Math is the discipline that develops the hammer (and probably the boards and nails, as well). Other scientific disciplines study different problems (and some of the same ones), using some of the same tools and some different ones – but math has developed most of the other tools as well.
Relation of mathematics with Chemistry
Molecular weights of organic compounds are calculated with mathematics. To measure the constituents of mixtures and Chemical compounds. To calculate Empirical or molecular formula. In balancing the chemical equations. In the electronic configuration of an atom of the element. Charle’s law of expansion of gases is based upon mathematical calculations.
For organic chemistry. Students in organic chemistry would benefit from experience visualizing in 3-dimensions. This skill would most naturally be developed in a multivariable calculus course, though it could be developed in an Elementary Applied Mathematics course, or in a somewhat restructured Calculus II course.
For physical chemistry. Students taking physical chemistry would benefit from having taken courses in single variable calculus, multivariable calculus, linear algebra, differential equations with modeling, and statistics (i.e., data analysis, rather than statistical theory).Preparation for graduate school in chemistry. Students planning to go to graduate school in chemistry are encouraged to take the mathematics courses listed above for physical chemistry. They should also have taken an introductory computer programming or computer science course which covers the basics of computer programming. Ideally, students heading to graduate school in chemistry should also have some experience using mathematical software (e.g. Mathematica, Maple, Sage, MATLAB, Octave, Berkeley Madonna, LSODE). Not all mathematics departments currently offer a course teaching students how to use mathematical software packages. However, as more and more mathematical software packages are being developed which make scientific computations practical, we would like to encourage mathematics departments to offer such courses, with or without academic credit attached.
In addition to the mathematics courses listed above, students planning to go to graduate school in chemistry would find any of the following courses useful: partial differential equations, numerical analysis, a one-semester abstract algebra course covering group theory, and Fourier analysis. A course on intuitive topology and geometry, that includes an introduction to symmetry, could also be an interesting elective. Double majors in mathematics and chemistry Both chemistry and mathematics are demanding majors that require a lot of courses. In order to encourage double majors, both departments should be willing to compromise a little on their
normal requirements so as not to make it almost impossible for students to complete the two majors while satisfying the general education requirements at their college or university. Some mathematics departments handle this problem by allowing one or two of the more quantitative.
Relation of mathematics with Biology
Mathematics is applied in all major fields of science, including biology.
Mathematics actually is logic that we develop such that it doesn’t try to explain natural phenomenons. Those logics which try to understand phenomenons come in the category of sciences..be it physics or biology.
The reason that mathematics comes into play everywhere, is that, to explain sciences you need to work with such logics which are basic, in the sense, they haven’t been developed to explain nature. And that is maths.
- The simplest one would be of course numbers..which measure( 2 kidneys in human beings and similar stuff)
- Direct involvement of physics and chemistry that run on mathematics..(for example blood flow physics developed by Bernoulli)
- Biological functions…everything varies with respect to something else..that leads to study through functional analysis
- At the basic level, it is all about atoms, which are mathematically complex.
- Calculus is used in medicine to understand tumor growth.
- Differential equations are used frequently in ecology, such as tag-and-release population studies. Quadratic equations are used to calculate pH changes.
- A very interesting thing now..that if life runs on physics and chemistry, it should be predictable..we should be able to know what one is going to do the next minute. We haven’t achieved it as the maths here is much more complex..has millions of steps to follow for an action
So finally, we should look forward to machines in the future that will be able to predict your actions ..predict life.
Relation of mathematics with History
There’s the impact of certain mathematical results on the general history – such as military uses of Geometry by ancient Greeks rs and by Italian painters from the Early Renaissance, and then the impact of Linear Programming on resource allocation during and after World War II (the Berlin airlift, 5-year plans for the Soviet industry, and so on). There is the whole importation of algebra from the Arabic world into Europe. And there’s the impact of Mathematicians on the history, for example, Gaspard Monge who developed projective geometry and later became the Minister of the Navy in France. To pass history we have to remember a bunch of dates. These dates are “numbers”. In other words, maths deals with numbers. History is full of numbers, sometimes.
In conclusion, math and history are quite strongly related, and it may be in a historian’s job to be a mathematician or logician, to understand specific decisions. A historian also must be a judge of authenticity, which is rooted in logic, and an analyst of cause and consequence, also rooted in reason and logic. Remember, it was up to specific humans to determine what history really is, and we intuitively think mathematically to some extent, so it is inevitable that they are related.
Relation of mathematics with Geography
Math is in many ways a necessity when studying geography. Geography is a broad subject. It can be filled in with a variety of courses.
The world of trade and mercantilism began with cartography. To venture across land and seas to trade far away, units of time and distance, currency and weights were established. Buildings, bridges, aqueducts- architecture and protection for cities began. From this came Arabic numerals, algebra, astronomical charts, taxation accounting and much more began.
Celestial navigation created astronomy and calendars. Engineering boats, roads, cathedrals, and pyramids all required mathematical constructs.
Populations had to be measured, counted and regions defined for economic, military and political ends and to tax. This is how population geography evolved into demography and census.
As the fates of nations grew more complex, so too did the mathematical constructs of geography. Modern geography uses algorithms, logarithms and statistical analysis for studies of vegetation, migration, change over time, orthographic interpretation, environmental optics and of course, Geographic Information Systems (GIS).
Understanding photogrammetry involves trigonometry, calculus, and algebra. Environmental optics is physics and calculus; understanding how light particles react to the Earths atmosphere and environment.
Climate science is complex interactions of optics, heat exchange, weather alterations, particulate matter and so, so much more monitored, quantified and calculated over time.
Math is the language of science and geography is the science of space and time.
Relation of mathematics with Economics
Mathematics is considered to be an integral and fundamental part of economics. As it is a well- known fact that price and money are crucial aspects of the economy and as a result of economics as well. It has been observed that most of the economists exercise the mathematical paradigms to forecast and predict many things from the aspects like the demand. Firstly we need to apprehend the meaning of mathematics and economics individually. economics heavily relies on statistics, inflation, reaction rates, and so on which are all mathematically shown or implemented.
Economic analysis often uses quantitative methods when reviewing specific information in an economy. Quantitative methods are mathematical or statistical calculations that provide economists with indicators for comparing the current economic analysis to those of previous periods. Economists often use various types of math to ensure their personal judgments, inferences or theories are supported by meaningful calculations.
Calculus is the most common type of math found in economics. Calculus includes the use of various formulas to measure limits, functions, and derivatives. Many economists use differential calculus when measuring economic information. Differential calculus is the specific measuring of a derivative that relates to a specific function. In basic terms, a function usually represents a straight line known as a tangent. This represents a functions normal operation. The derivative is any change in the tangent that represents a deviation (up or down) in the original line.
The present age is one of skill-development and innovations. The more mathematical we are in our approach, the more successful we will be. Mathematics offers rationality to our thoughts. It is a tool in our hands to make our life simpler and easier. Let us realize and appreciate the beauty of the subject and embrace it with all our heart. It is a talent which should be compulsorily honed by all in every walk of life.