The evolution of mathematics might be seen as an ever-increasing series of abstractions‚ or alternatively an expansion of subject matter. The first abstraction‚ which is shared by many animals‚[19] was probably that of numbers: the realization that a collection of two apples and a collection of two oranges (for example) have something in common‚ namely quantity of their members.Evidenced by tallies found on bone‚ in addition to recognizing how to count physical objects‚ prehistoric peoples may have
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Most people are not familiar with the concepts of mathematics and mathematizing. Once they hear any of these terms‚ they connect them to education. The next discussion will attempt to shed some light on these two concepts by defining mathematics as a language. First‚ it will define these two terms with examples. It will then point out various differences between mathematics and mathematizing while giving examples. Finally‚ it will elaborate the importance of both concepts to humans and how they have
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HISTORY OF MATHEMATICS The history of mathematics is nearly as old as humanity itself. Since antiquity‚ mathematics has been fundamental to advances in science‚ engineering‚ and philosophy. It has evolved from simple counting‚ measurement and calculation‚ and the systematic study of the shapes and motions of physical objects‚ through the application of abstraction‚ imagination and logic‚ to the broad‚ complex and often abstract discipline we know today. From the notched bones of early man
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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;
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knowledge bring you even greater understanding of the role of mathematics to both the census and everything else. ACKNOWLEDGEMENT I would like to thank everyone who helped in the successful completion of this project. I’d personally like to thank my supervisor Mr. Obi Henry for his support and co-operation. I would also like to thank my parents and Almighty Allah for their guidance. ABSTRACT Mathematics is one of the most widely used tools in any organization‚ society
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| |Programme |Bachelor of Computer Science (BCS) | |Name of Course / Mode |Discrete Mathematics | |Course Code |CSC 1700 | |Name (s) of Academic
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The Mathematics for Essay 2 The purpose of these notes are to explain some of the mathematics behind Essay 2. Your own essay should not just repeat these arguments but have a more geometric flavor. Write about how you can physically place the blocks. You may assume basic facts about geometric sums and series. Let r be any real number and let n be a non-negative integer. The sum 1 + r + r2 + · · · + rn (1) is a geometric sum and the infinite series 1 + r + r2 + · · · + rn + · · · (2)
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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
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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
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Australia INTRODUCTION Vedic mathematics is the name given to the ancient system of mathematics‚ or‚ to be precise‚ a unique technique of calculations based on simple rules and principles with which any mathematical problem can be solved be it arithmetic‚ algebra‚ geometry or trigonometry. The system is based on 16 Vedic sutras or aphorisms‚ which are actually word formulae describing natural ways of solving a whole range of mathematical problems. Vedic mathematics was rediscovered from the
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Scope of mathematics This article will provide an overview of the NCTM process and content standards. Educators first studying the standards may feel overwhelmed with the amount of content addressed within each grade-level span. State frameworks that dictate standards for each grade level exacerbate this situation. However‚ a longitudinal view will show how the same topics are developed over several years in a spiral and interconnected pattern. For example‚ the
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Kyle Smith Math 1332 Fall 2011 McCullough-Pannell How Mathematics is used in Firefighting Math is used extensively in firefighting‚ partly because firefighters have so many jobs to do in the course of their work. As a volunteer firefighter‚ I have seen mathematics used in many areas of firefighting. If you don’t have a solid background in math‚ especially algebra‚ you will struggle to pass the required exams and have a hard time getting
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Introduction 2.1 What is mathematics all about? The assignment brief suggests two viewpoints: (1) Mathematics is a given body of knowledge and standard procedures that has to be covered or (2) Mathematics is an interconnected body of ideas and reasoning processes 2.2 The first viewpoint considers mathematics as a discipline consisting of rigid compartments of knowledge with set techniques and routine algorithms. The second viewpoint suggests that mathematics is made up of interlinking
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Megara‚ who was a Greek Socratic philosopher who live about a century earlier. His elements is the most successful textbook in the history of mathematics. The principles of geometry are deduced from a small set of axioms. Euclid’s method of proving mathematical theorems by logical reasoning from accepted first principles continues to be the backbone of mathematics and is responsible for that field’s characteristics rigor. Elements is best-known for its geometric results‚ but it also includes many results
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HOW DOES THE CHILD PROGRESS FROM CONCRETE TO ABSTRACT IN THE MATHEMATICS MATERIALS‚ Mathematics is the most eye opening of the entire Montessori curriculum. It is full of fascinating and beautiful hands on materials that bring the mathematical concept to life. The goal of Dr. Montessori was not just to teach the children the children to recognize numbers and calculate but enable them to think logically. The mathematics materials develop the child mathematical mind‚ the ability to reason abstract
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Mathematics and the Arts Kokichi Sugihara 1. Fractal Voronoi Diagrams The Voronoi diagram represents the partition of the plane into territories‚ where each territory consists of points nearest to the associated generators. Starting with a small number of generators‚ we add generators at random‚ simulate territory competing‚ and assign colors to the resulting diagram. Then‚ we get something like artistic patterns. Search for the point with the maximum F (θ ‚ ϕ ) in the (θ ‚ ϕ ) space. 3. Generation
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Thinking Mathematically Short Essay: Understanding Mathematics and Linguistics How is Mathematics and Linguistics related with each other? Linguistics is the science of language. Linguists seek to understand the proper uses of natural human language. How languages are structured‚ how and why they vary and change‚ how they are acquired‚ and how people‚ in communicating use them. Mathematics on the other hand is the language of science. It is used to understand
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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
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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
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Topic 1- Mathematics and Certainty Having said something about the nature of formal systems‚ we must now look in more detail at the nature of mathematical certainty. To do this‚ let us begin by making two distinctions. The first concerns the nature of propositions. An analytic proposition is one that is true by definition. A synthetic proposition is any proposition that is not analytic. So we can say that every proposition is either analytic or synthetic. The second distinction concerns how we
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