Mathematics is a subject that I have thoroughly enjoyed throughout my school years. The challenge of thinking and the process of logic always attract me to Mathematical problems, however difficult and regardless of the form in which they come. My aptitude towards mathematics aroused because of its simplicity, that as long as you follow the right steps in a systematic order, you will reach the correct answer. At the same time, the challenge which it provides, with its complex yet logical questions, makes it highly addictive for me. My appreciation of Maths has slowly matured over the years and my A+ in both Maths and Additional Maths in Sijil Pelajaran Malaysia (Malaysian Certificate of Education) gave me enough self-confidence to take on the challenge of A-level Mathematics. In terms of my intended degree, my most useful applied module is Statistics, as I have seen its importance and regular usage in Actuarial Science and because I am fascinated at how convenient it can be to handle and process figures so that they may be manipulated to produce a feasible mathematic model. My obsession with numbers remained limited to writing pads, until I read about John Nash, the American mathematician, who invented his famous Nash Equilibrium, a very integral part of economic and financial systems across the world. It is from this point on I became increasingly fascinated by how numbers can directly or indirectly affect humans, and, for this reason, I wish to pursue a career in Actuarial Sciences.

I imagine myself fully capable of coping with the level of sophistication and amount of thinking involved in mathematical and other related courses in the universities. I have enjoyed studying Chemistry, Physics and Mathematics at AS Level, and achieved percentage uniform mark of 100 in all three subjects. Chemistry and Physics have helped me solve problems with a more planned and analytical approach. As I see it, a single difference in the electrons of an atom, or a slight...

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Set (mathematics)
From Wikipedia, the free encyclopedia
This article is about what mathematicians call "intuitive" or "naive" set theory. For a more detailed account, see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory.
An example of a Venn diagram
The intersection of two sets is made up with the objects contained in both sets
In mathematics, a set is a collection of distinct objects, considered as an object in its own right. For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2,4,6}. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived. In mathematics education, elementary topics such as Venn diagrams are taught at a young age, while more advanced concepts are taught as part of a university degree.
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Definition[edit]
A set is a well defined collection of objects. The objects that make up a set (also known as the elements or members of a set) can be anything: numbers, people, letters of the alphabet, other sets, and so on. Georg Cantor, the...

...Why study Mathematics?
The main reason for studying mathematics to an advanced level is that it is interesting and enjoyable. People like its challenge, its clarity, and the fact that you know when you are right. The solution of a problem has an excitement and a satisfaction. You will find all these aspects in a university degree course.
You should also be aware of the wide importance of Mathematics, and the way in which it is advancing at a spectacular rate. Mathematics is about pattern and structure; it is about logical analysis, deduction, calculation within these patterns and structures. When patterns are found, often in widely different areas of science and technology, the mathematics of these patterns can be used to explain and control natural happenings and situations. Mathematics has a pervasive influence on our everyday lives, and contributes to the wealth of the country.
The importance of mathematics
The everyday use of arithmetic and the display of information by means of graphs, are an everyday commonplace. These are the elementary aspects of mathematics. Advanced mathematics is widely used, but often in an unseen and unadvertised way.
• The mathematics of error-correcting codes is applied to CD players and to computers.
• The stunning pictures of far away planets sent by Voyager II could not have had their...

...Introduction
Mathematics is an indispensable subject of study. It plays an important role in forming the basis of all other sciences which deal with the material substance of space and time.
What is Mathematics?
Mathematics may be described as the fundamental science. It may be broadly described as the science of space, time and number. The universe exists in space and time, and is constituted of units of matter. To calculate the extension or composition of matter in space and time and to compute the units that make up the total mass of the material universe is the object of Mathematics. For the space-time quantum is everywhere full of matter and we have to know matter mathematically in the first instance.
Importance of Mathematics
Knowledge of Mathematics is absolutely necessary for the study of the physical sciences.
Computation and calculation are the bases of all studies that deal with matter in any form.
Even the physician who has to study biological cells and bacilli need to have a knowledge of Mathematics, if he means to reduce the margin of error which alone can make his diagnosis dependable.
To the mechanic and the engineer it is a constant guide and help, and without exact knowledge of Mathematics, they cannot proceed one step in coming to grips with any complicated problem.
Be it the airplane or the atom bomb,...

...Mathematics of the Greeks and the Mayans
Mathematics is the study of time, space, structure, and quantity which is used to calculate almost anything in the world from the amount of atoms in an element to calculating the air pressure in a room. Although levels of math such as calculus are not taught until college, the use and study of mathematics have been around since the beginning of time and the world wouldn’t be able to function without it. The term “mathematics” comes from the Greek word mathema which means study, knowledge, or learning. Along with philosophy and astronomy, the ancient Greeks were well known for their development and contribution as brilliant mathematicians. Despite their widely spread fame as the world’s first greatest mathematicians, the Greeks had competitors. My contention is that the Mayans were one of the top mathematicians of the ancient world and were even more advanced than the Greeks.
Ancient Greek mathematics has been developed since the early seventh century B.C. which could also be called the period during the Hellenistic Mathematics. Some of the greatest Ancient Greek mathematicians were Pythagoras, Aristotle, Anaxagoras, Euclid, Archimedes, Thales, and Aristarchus. These Greek mathematicians were big on the development of geometry which is a subdivision of math that focuses on shapes, size, and the relativity of space. Although their number system was...

...Theory of Knowledge
Éanna OBoyle
ToK Mathematics
“... what the ordinary person in the street regards as mathematics is usually nothing more than the operations of counting with perhaps a little geometry thrown in for good measure. This is why banking or accountancy or architecture is regarded as a suitable profession for someone who is ‘good at figures’. Indeed, this popular view of what mathematics is, and what is required to be good at it, is extremely prevalent; yet it would be laughed at by most professional mathematicians, some of whom rather like to boast of their ineptitude when it comes to totalling a column of numbers....Yet ... it is not the mathematics of the accountant that is of most interest. Rather, it is ... abstract structures and everyday intuition and experience” (p.173, Barrow).
2.1 Mathematical Propositions
2.1.1 Mathematics consist of A Priori Propositions (theorems)
We know mathematical propositions (or theorems) to be true independently of any particular experiences. No one ever checks empirically that, for example, 364.112 + 112.364 = 476.476 by counting objects of those numbers separately, adding them together, and then counting the result. The techical term to describe this independence of experiences is to say that the propositions are a priori. Therefore we say that mathematical propositions are a priori propositions.
2.1.2 Universality
When mathematical propositions...

...of all children and young people.
Aims:
- To develop a positive attitude to numeracy and maths as an interesting and exciting subject in which all children gain success and enjoyment
- To develop numeracy understanding through systematic direct teaching of
- To encourage the effective use of numeracy and maths as a tool in a wide range of activities within and out of school
- To develop an ability in the children to express themselves fluently, to talk about the subject with confidence, using correct mathematical language and vocabulary
- To develop the ability to think clearly and logically with independence of thought and flexibility of mind
1.2: Summarise the national curriculum framework for mathematics including age-related expectations of learners as relevant to the setting.
Numeracy is an important key part of our everyday lives. The curriculum gives pupils a solid grounding in all aspects of numeracy. In early years numeracy skills are developed practically in shape, pattern, counting, sorting and measuring. Teachers in reception classes follow the Foundation Stage Curriculum which includes problem solving, reasoning and Numeracy for pupils 40-60+ months old. This is developed through pupils exploring, playing games and through teacher planned activities. The areas for Foundation Stage are:
* Numbers as labels and counting
Expectations:
* Say and use number names in order in familiar contexts
*...

...often complain about Math and its application in life
• Mathematics is “..the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations.”
Body
A. Early Math skills directly correlate to scholastic achievement
• Those who learned most math in Kindergarten had highest scores during further education
• UC Irvine Distinguished Professor of education Greg Duncan conducted a study wherein he discovered the value of Mathematics in the academic development of kindergarteners.
B. Mathematics in Everyday Life
• People compute when they make miscellaneous purchases.
• People create budgets, estimate costs etc.
• Math is often used by most high-profile professions, whether through simple or complex means.
• Skills we learn in Math, such as problem solving and objective analysis help us in analyzing real situations in life.
C. Mathematics for Progress
• A study was conducted by Allan Gottfried that discovered that the more The more math courses students take and excel in, the more likely they are to attain at least a bachelor’s degree.
• Experts say that algebra and other higher math classes lead to good jobs and financial comfort in the 21st century.
• Mathematics is integral in multiple fields and is the foundation for progress towards the future....

...“Mathematics - the unshaken Foundation of Sciences, and the plentiful Fountain of Advantage to human affairs.” (Barrow) Mathematics plays an integral function in our daily living since its conception, and we thank the great mathematicians for this essential tool. Mathematics has been used in various professions and academic fields. Undoubtedly, there have been many men of old that have contributed to the science of mathematics, but what really captivates our interest, are the ones who were passionate – who dedicated their lives to the study of mathematics; the originators of various fields of mathematics who displayed remarkable work. I have narrowed the list of the top three mathematicians who I have deemed worthy of being named the Greatest Mathematician based on: 1) passion, and 2) originality of outstanding work.
A fitting decisive factor – passion explains how great mathematicians of old truly demonstrated their intense commitment to this science. They have dedicated their lives to practicing mathematics, down to their deaths. Historical accounts have described their deep interest in mathematical principles, persistence in solving problems and the ecstatic reaction of achievement when successful. It is their absolute love and pride for the science that we have come to respect. It is required that one follows specific mathematical principles and formulas in order to...