INTRODUCTION
As the greatest Mathematician “GAUSS” has said –“MATHS IS THE QUEEN OF SCIENCE”, maths is truly the guiding force of human soul. Maths is the purest form of study of nature which comprise of a deep and rational comparison of quantities, structures, spaces, nature of change of different inter-relations and much more. Mathematicians seek out various patterns and formulate new conjectures. Mathematicians counter examines the facts by repeated and repeated logical transformations these experiments may take years and years of thorough research and dedication. USE OF MATHS IN EVERY DAY LIFE

“I love those who love geometry”-said Plato, the famous Greek philosopher and thinker.Algebra, Arithmetic, Geometry are three major components of maths. Algebra is study of symbols, Arithmetic deals with numbers and geometry plays with figures. The structure of any railway bridge is supported with triangular shaped support system(geometry),saving is vital for ones peaceful oldage (arithmetic),the combinations of different dresses one should wear so that no continues days has same pattern(algebra),all these are nothing but some simple yet important usage of maths in ones daily life. Where to go for shopping, choosing a shampoo or planning a holiday, all these things of our daily routine has something in common-its maths. Numerical and logical thinking plays a vital part in each of these every day activities. A good understanding of maths is essential for making sense of all the numbers and problems life throws at us. Many restaurants closes down within one year of their opening because of poor mathematical planning. It’s almost impossible to get through a day without using maths in one way or another. SCENARIO OF WORLD IF MATHS IS REMOVED

Maths is eyes,ears,heart,lungs and above all the basic developing tonic of any human civilization. Maths develops Maths reforms and Maths benefits. If maths is removed then there will be no rational thinking. The logic will lose its...

...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...

...Women in Mathematics
Every human is created with a gift of some sort. Whether it is an athletic ability, a wonderful singing voice, or an ability to relate to other individuals, every one has a special gifting. For many women in history, their ability was deciphering and understanding the intricacies of math. Although various cultures discouraged women mathematicians, these women were able to re-define the standards for women in this field of study.
Hypatia of Alexandria was born in Roman Egypt and was the daughter of a teacher of mathematics, Theon of Alexandria. Hypatia studied with her father as well as with many other mathematicians. When she was older, she taught at the Neoplatonist school of philosophy. She wrote on mathematics, philosophy, as well as anatomy. Her studies covered the motion of the planets, conic sections, and number theory, which is “one of the oldest branches of pure mathematics, and one of the largest. It concerns questions about numbers, typically meaning whole numbers as well as rational numbers. Although little information about Hypatia survives, it has been discovered that she was a very popular lecturer that drew students from various locations. She is known for her invention of the plane astrolabe, which is an elaborate inclinometer with the ability to locate and predict the locations of the sun, moon, planets, and stars and the graduated brass hydrometer which was used to determine...

...TOK Reflection: Mathematics
To what extent is math relevant to your life and the lives of others you know and how can it become an even more viable area of knowledge.
“In mathematics I can report no deficience, except it be that men do not sufficiently understand the excellent use of the Pure Mathematics.”
Roger Bacon (1214-1294)
Mathematics: the abstract science of number, quantity, and space; a subject considered by many to be useless, a waste of time, and too difficult. “When am I ever going to use in real life?” or “What’s the point of learning all this?” are just some questions people ask when faced with a mathematical problem. So, what is the point of math? Paul Lockhart in his A Mathematician’s Lament stated, “How many people actually use any of this practical math they supposedly learn in school? ... So why do people think it is so important?” It isn’t important, at least from my understanding the “math” taught today isn’t important.
Lockhart says that the math taught in modern day schools is not the math that really is; it is not taught as the art that it is. “I’m sure most people use a calculator for everyday arithmetic. And why not? It’s certainly easier and more reliable. But my point is not just that the current system is so terribly bad, it’s that what it’s missing is so wonderfully good! Mathematics should be taught as art for art’s sake. These mundane “useful” aspects...

...Philosophy through Mathematics
For centuries mathematics has been the bases to almost everything we do. Whether we are dealing with complex physics or modern medicine, without mathematics almost nothing we have now would be possible. Mathematics is a broad topic that can be broken down into many different categories. Most people limit their mathematics to just basic arithmetic and some geometry but the world ofmathematics can be expanded to be so much more. The world of mathematics includes more than just simple arithmetic and geometry. As you progress in the world of mathematics you encounter algebra, calculus, complex mathematics, and then eventually the analysis of mathematics which include both real and complex world and even number theory. These various math forms can be used in all sorts of scientific discoveries in physics, chemistry, engineering and many other fields of science and technology; however, what many people overlook is the importance of mathematics in the world of philosophy.
Before we can begin on our discussion on the impact mathematics has had in the world of philosophy we must understand a few things first. The first thing we need to look at is the philosophers we are going to use to see the important of math in philosophy. The first philosopher we will use is Descartes, who is...

...Historical/Cultural Report
Famous Mathematician: Pythagoras
Introduction:
Pythagoras’ Theorem is actively used and is a crucial part of trigonometry in present-day mathematics. Pythagoras, living approximately from 570 – 495BC, in Greece, is believed to have founded the Pythagoras’ Theorem among a cult, which Aristotle believed to be the beginning of an advance in Mathematics. In fact, there is evidence that the theorem had been discovered and used perhaps a thousand years earlier than Pythagoras by the ancient Chinese (Haylock, 2010). Although there is dissent among the issue of who constructed the Theorem, it plays a fundamental role in today’s mathematics, particularly in measurements and equipment. It also led into the study of Geometry and trigonometry, having a central bearing as a base on its development.
Method:
The rule of Pythagoras is applied to determine an unknown side in right angled triangles, or to express that the triangle shown is a right-angled triangle.
A right-angled triangle contains a right angle (90°) and the theorem includes an equation to determine whether a triangle is or isn’t right-angled.
Haylock (2010) also identifies a concept, as the Pythagorean triple as three natural numbers that could be the lengths of the three sides of a right-angled triangle. For example, 5, 12 and 13 form a Pythagorean triple because 52 + 122 = 132. Other well known examples of Pythagorean tripes are 3,...

...As students, we are taught the basics about mathematics. What the core properties of addition, subtraction, multiplication and division mean. How they work, and if we are lucky, we go into a little history of these methods. For those of us who have learned history, we learned that the basis for modern mathematics came from the Greeks and their writings. While this is correct, to truly understand the historical aspect of mathematics and its origins, one must study a time before the Greeks, when math was a whole new language, and one we still today have not completely mastered.
Perhaps the most interesting group to study is one of the first known civilizations, the Babylonians from Mesopotamia; the land between the Tigris and Euphrates Rivers in modern day Iraq. The Mesopotamian people are considered the founders of the first sophisticated, urban cities, and the founders of writing and keeping records. It was then that the idea of writing evolved as a means to record the most essentials of founding a city, mathematics. As a people who flourished from the land, it has been determined that the main uses for a mathematical language were utilitarian. It is believed that agriculture was invented in Mesopotamia, as the land between the rivers provided for much fertile ground (5). Because of this, research has found that the Babylonians made a number system to represent livestock, produce, and their basic way of life....

...Introduction
Mathematics is one of the fundamental tools in analyzing and understanding astronomy. Astronomers use mathematics to do basic conversion, calculate brightness, density and temperature and improve the understanding of astronomical images.
Most ancient astronomers views celestial objects on behalf of gods. They studied celestial objects with the hope of discovering the unknown of the world. In ancient China, astronomer is an occupation that works for the imperial family. They determine the calendar and divine by astrology. Astronomers are responsible to explain the reason of natural disaster and the health condition of imperial family. The duties of ancient Chinese astronomers make it to be a mysterious job. It is so sacred that there is a law that if an astronomer was commit to a crime, the judge should penalize him in the lighter way than usual in Qing Dynasty. It is a very special job that astronomers could be very useful in power struggle because natural disaster could be explained as the emperor or officials did not perform his duties and they have to be punished or even die. However, in the Chinese history, there are some extraordinary astronomers who are curious about the secrets of the universe. They use science to explore the laws of universe and the relationship between movement of stars and climate change with the purpose of giving the instruction for people to farming and avoid natural disasters.
In this...

...Biographical Sketch: Thales and Hypatia
Thales
While it is clear that Euclid definitely set a precedent for geometry and mathematics as a whole, he was not alone in his work, his endeavors, or his ideas. He certainly was not the first to come up with these theories or rules for geometry either. Before there was Euclid, there was Thales of Miletus. Thales, along with other mathematicians or “geometers” laid some of the foundation for Euclid to compile in order to write the Elements centuries later. Thales was a “renaissance man” well ahead of his time, dabbling in such subjects as astronomy, engineering, philosophy and of course, mathematics. Exploring his beginnings, and his accomplishments will afford a decent look at his impact on geometry and Euclid.
Thales was born in Miletus in Ionia ca 624 B.C. (O'Grady, n.d.). Often considered the first, or founder of, Ionian natural philosophy it is hard to be certain on many subjects of his beginnings. Thales’ past is checkered with uncertainties, not uncommon for people from this time period. Due to this, Thales’ exact birth year as well as ancestry are not certain as different sources offer conflicting answers. There is a lot of evidence that has survived to attest to the fact that he “was interested in almost everything, investigating almost all areas of knowledge, philosophy, history, science, mathematics, engineering, geography, and politics” (O'Grady, n.d.). Countless records...