What is the defintion of mathematics? What is the beauty of mathematics? How do you make students interested?

What is the defintion of mathematics?


What is the beauty of mathematics?


How do you make students interested in mathematics? (through the its applications, beauty... ...?)





I feel that mathematics is like a tree which is deeply rooted in the world. It has two main branches which are numbers and shapes. In addition, it constantly branches out into new areas as time passes.What is the defintion of mathematics? What is the beauty of mathematics? How do you make students interested?
1)';For starters, we might say that the mathematics is the science of quantity and space. This answer might have been satisfactory four hundred years ago, but today we would say that mathematics is multi-faced: It is the art and science of dealing with deductive(i.e.,';theorematic';) and algorithmic(i.e., computational) structures that concern themselves with quantity, space, pattern, and arrangement. Mathmatics also deals with the language-like symbolisms that allows us to express and manipulate these concepts.


No definition of mathematics is legislated and...this keeps the mathematics fluid. Mathematics lives and is shaped by all who contemplates, speculate on, describe, apply and develop mathematics.


On the other hand, the dream of a mathematics universalis expressed by Descartes and Leibniz among others, of an all-embracing mathematical formulation of the outer physical and social world is unrealistic';





2)In mathematics, beauty is often linked with simplicity and simplicity to truth. The aestethic component of mathematics is a strong inner driving force for research.


There is beauty that can be found in definitions, theorems, proofs( Gian-Carlo Rota).


A proof is beautiful when it gives away the secret of the theorem, when it leads us to perceive the actual and not the logical inevability of the statement that is proved.


Beauty does not admit degrees of comparison. For example: to state that the prime number theorem is more beautiful than Picard's theorem would be nonsensical. The perception of beauty doesn't come in a flash. The appreciation of mathematical beauty requires thorough familiarity with mathematics, and such familiarity is arrived at the cost of time, effort, exercise.


As a consequence, the beauty that the educated people finds in mathematics-if, indeed, it finds beauty at all- is different from the beauth that professional mathematicians find.


What is useful mathematically is not necessaarily beautiful. In numerical methods, the best codes are often long, complex, and company confidential.





3) Returning to the necessary long experience that limits the general perception of mathematical beauty, Rota believes that teachers'attempts to arouse interest in mathematics on the basis of beauty are bound to fail.';What is the defintion of mathematics? What is the beauty of mathematics? How do you make students interested?
i will say it is the science of numbers Report Abuse

Mathematics it's the language of God.


Everything around you it's numbers, to have a real life you need those numbers, to pay bills, buy a car, a house and even find a girlfriend or boyfriend at least you have to use numbers to pay you coffee or your movie tickets.


Play with the numbers and then those starts to be funny and interesting.