The Nature of Mathematics

Mathematics relies on both logic and creativity, and it is pursued

both for a variety of practical purposes and for its basic interest.

The essence of mathematics lies in its beauty and its intellectual

challenge. This essay is divided into three sections, which are

patterns and relationships, mathematics, science and technology and

mathematical inquiry.

Firstly, Mathematics is the science of patterns and relationships. As

a theoretical order, mathematics explores the possible relationships

among abstractions without concern for whether those abstractions have

counterparts in the real world. The abstractions can be anything from

strings of numbers to geometric figures to sets of equations. In

deriving, for instance, an expression for the change in the surface

area of any regular solid as its volume approaches zero,

mathematicians have no interest in any correspondence between

geometric solids and physical objects in the real world.

A central line of investigation in theoretical mathematics is

identifying in each field of study a small set of basic ideas and

rules from which all other interesting ideas and rules in that field

can be logically deduced. Mathematicians are particularly pleased when

previously unrelated parts of mathematics are found to be derivable

from one another, or from some more general theory. Part of the sense

of beauty that many people have perceived in mathematics lies not in

finding the greatest richness or complexity but on the contrary, in

finding the greatest economy and simplicity of representation and

proof. 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.

Abstractions from nature are one the important element in mathematics.

Mathematics is a universal subject that has connections to many

different areas including nature.

[IMAGE]

[IMAGE]

Bibliography:

1. http://users.powernet.co.uk/bearsoft/Maths.html

2. http://weblife.bangor.ac.uk/cyfrif/eng/resources/spirals.htm

3. http://www.project2061.org/tools/benchol/ch2/ch2.htm

4. http://www.headmap.org/unlearn/alfred/1.htm

Mathematics relies on both logic and creativity, and it is pursued

both for a variety of practical purposes and for its basic interest.

The essence of mathematics lies in its beauty and its intellectual

challenge. This essay is divided into three sections, which are

patterns and relationships, mathematics, science and technology and

mathematical inquiry.

Firstly, Mathematics is the science of patterns and relationships. As

a theoretical order, mathematics explores the possible relationships

among abstractions without concern for whether those abstractions have

counterparts in the real world. The abstractions can be anything from

strings of numbers to geometric figures to sets of equations. In

deriving, for instance, an expression for the change in the surface

area of any regular solid as its volume approaches zero,

mathematicians have no interest in any correspondence between

geometric solids and physical objects in the real world.

A central line of investigation in theoretical mathematics is

identifying in each field of study a small set of basic ideas and

rules from which all other interesting ideas and rules in that field

can be logically deduced. Mathematicians are particularly pleased when

previously unrelated parts of mathematics are found to be derivable

from one another, or from some more general theory. Part of the sense

of beauty that many people have perceived in mathematics lies not in

finding the greatest richness or complexity but on the contrary, in

finding the greatest economy and simplicity of representation and

proof. 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.

Abstractions from nature are one the important element in mathematics.

Mathematics is a universal subject that has connections to many

different areas including nature.

[IMAGE]

[IMAGE]

Bibliography:

1. http://users.powernet.co.uk/bearsoft/Maths.html

2. http://weblife.bangor.ac.uk/cyfrif/eng/resources/spirals.htm

3. http://www.project2061.org/tools/benchol/ch2/ch2.htm

4. http://www.headmap.org/unlearn/alfred/1.htm

Related

- Powerful Essays
## The Issue of Experiment in Mathematics

- 2302 Words
- 5 Pages
- 2 Works Cited

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.

- 2302 Words
- 5 Pages
- 2 Works Cited

Powerful Essays - Satisfactory Essays
## Discrete Mathematics Algorithm

- 969 Words
- 2 Pages

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.

- 969 Words
- 2 Pages

Satisfactory Essays - Powerful Essays
## Ontology of Mathematics

- 1511 Words
- 4 Pages
- 5 Works Cited

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.

- 1511 Words
- 4 Pages
- 5 Works Cited

Powerful Essays - Satisfactory Essays
## Matrices Essay

- 1160 Words
- 3 Pages

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.

- 1160 Words
- 3 Pages

Satisfactory Essays - Satisfactory Essays
## Mathematics Essay

- 1537 Words
- 4 Pages

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.

- 1537 Words
- 4 Pages

Satisfactory Essays - Powerful Essays
## Art And Mathematics:Escher And Tessellations

- 2039 Words
- 5 Pages
- 8 Works Cited

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.

- 2039 Words
- 5 Pages
- 8 Works Cited

Powerful Essays - Good Essays
## Essay About Mathematics

- 1111 Words
- 3 Pages

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).

- 1111 Words
- 3 Pages

Good Essays - Better Essays
## Discrete Mathematics Essay

- 1013 Words
- 3 Pages

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

- 1013 Words
- 3 Pages

Better Essays - Good Essays
## The Importance Of Mathematics In Daily Life

- 1095 Words
- 3 Pages

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).

- 1095 Words
- 3 Pages

Good Essays - Good Essays
## The Importance Of Logic And Mathematics

- 1191 Words
- 3 Pages

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.

- 1191 Words
- 3 Pages

Good Essays