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Galileo Galilei, 2001.
This paper is about Galileo Galilei and his impact on history.
950 words (approx. 3.8 pages), 2 sources, MLA, AU$ 40.95
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Abstract
This paper details how Galileo Galilei affected history by discovering the potential of the telescope, pioneering new approaches to science, and challenging the authority of the Catholic Church.
From the Paper
"Galileo Galilei was a mathematician, an astronomer, and a physicist who made several significant contributions to modern scientific thought. During his life, he made many scientific discoveries, often in contradiction with the centuries-old ideas of the Greek philosopher Aristotle. These contradictions led to great conflict with the Catholic Church; however, he emerged as a symbol to others who oppose unyielding authority and champion scientific progress. As James Reston's biography Galileo makes clear, Galileo is a historical figure who affected history by discovering the potential of the telescope, pioneering new approaches to science, and challenging the authority of the Catholic Church."
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Mathematics: Fermat's Last Theorem, 2002.
This paper describes the interesting phenomenon called Fermat's Last Theorem, written in layman's terms.
613 words (approx. 2.5 pages), 5 sources, MLA, AU$ 25.95
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Abstract
Fermat's Last Theorem (FLT) has been one of the most fascinating theorems in mathematics. This paper looks at the conformities and the disparities of this statement. It assesses the theorem and the problem it comes to solve as well as the theorem's proof. It gives a detailed mathematical exercise which he solves using the theorem.
From the Paper
"Pierre de Fermat was born near Montauban in 1601. He was born in a family reared by a leather-merchant who was his father and was educated at home. He was essentially a lawyer and was an amateur mathematician. Throughout his life, Fermat published only one mathematical paper, which was written anonymously and appeared as an appendix to a book. He died in 1655."
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Oliver Kellogg, 2001.
This paper provides a biography of Oliver Kellogg, and his book, "Foundations of Potential Theory".
1,235 words (approx. 4.9 pages), 4 sources, MLA, AU$ 50.95
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Abstract
This paper looks at the life of Oliver Dimon Kellogg, who spent much of his time researching and advancing potential theory in the world of mathematics. The author discusses his contributions to math and physics, still used today.
From the Paper
"When the country no longer required his services, Kellogg was sent to Harvard University. Here he explored a few new mathematical venues before returning to his groundbreaking work in Potential theory. The 1920s were in many ways a decade of inspiration for artists, writers, mathematicians, scientists, and other thinkers across the globe. The war had dampened many spirits, but others saw its finale as a chance for new hope -- for a future without war. Others saw it as a future that was considerably grimmer, yet still full of the possibilities that only the realization of one's own finite nature can bring."
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Game Theory Applied to Corporate Finance, 2002.
How applications of game theory can be used to explain various observed phenomena in corporate finance.
1,955 words (approx. 7.8 pages), 7 sources, MLA, AU$ 74.95
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Abstract
This paper explains that traditional financial thinking relies on assumptions of certainty, complete knowledge and market efficiency and in this context, financial decisions should be relatively straightforward. In the real world though, many times what is observed deviates greatly from what would be expected using traditional financial thinking. This paper therefore uses different game theory models to more accurately explain observed financial decisions dealing with capital structure, corporate acquisitions and initial public offerings (IPOs).
From the Paper
"Game theory has made great strides in explaining many of the observed phenomena falling under corporate finance. One example is the capital structure decided upon by a firm's management. Capital structure deals with the firm's decision to raise funds through debt versus equity and what ratio of debt to equity should the firm maintain. Modigliani and Miller in 1958 showed that in perfect capital markets (i.e. no frictions and symmetric information) and no taxes a firm could not change its total value by altering its debt/equity ratio; thus capital structure is irrelevant. However in the real world, capital structure is carefully thought about by every company, and it is in fact not irrelevant because taxes do exist and capital markets are not perfect."
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Adding Binary Numbers, 2003.
This paper discusses and analyzes the process of binary addition.
600 words (approx. 2.4 pages), 4 sources, AU$ 25.95
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Abstract
The following paper analyzes the process of adding binary numbers by making reference to an addition algorithm as an example of this process. Background information to binaries is included.
From the paper:
"The binary number system was based on the decimal system, but uses only two digits, 1 and 0, instead of the 10 digits used by the decimal system. The system was developed for computer systems because they are more economical and precise when writing code. All digital computers use binary as their primary code. Each binary digit represents either "on" or "off" to the computer."
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Friedrich Bernhard Riemann, 2001.
This paper looks at the life and works of Friedrich Bernhard Riemann.
4,000 words (approx. 16.0 pages), 6 sources, AU$ 129.95
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Abstract
This paper examines the life and the work of the 19th century German mathematician Friedrich Bernhard Riemann, whose ideas concerning geometry of space had a profound effect on the development of modern theoretical physics, including providing the foundation for the concepts and methods used later in relativity theory.
From the paper:
"An examination of the facts of Riemann's family background would not have led one to suspect that he would have become the great mathematician that he would develoo into. He was the second of six children of a Lutheran pastor and it was this pastor/father who gave him his first formal education. Indeed, much of his early education was centered in his family, which was by all accounts both happy and deeply devout. He later attended the local high school, where he made quick and substantial progress in mathematics, soon moving beyond the ability of his teachers to educate him further (Laugwitz 38-41). He quickly mastered calculus and theory of numbers of Adrien-Marie Legendre. After graduating from the high school (or gymnasium), he studied at the universities of Gottingen and Berlin from 1846-51. It was at this point in his education that he became interested in problems concerning the theory of prime numbers, elliptic functions, and geometry, theoretical interests that would guide much of his later work."
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Why is Algebra so Important?, 2001.
This paper discusses the importance of learning algebra.
1,310 words (approx. 5.2 pages), 4 sources, AU$ 53.95
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Abstract
This paper examines why it is necessary to learn algebra. It shows its everyday uses and importance. It uses some basic examples such as calculating the miles per gallon of a car, and solving a calendar riddle.
From the paper:
"Algebra is simply the branch of mathematics in which the operations and procedures of addition and multiplication are applied to variables rather than specific numbers. It is also probably the subject about which schoolchildren are most likely to ask the question: What good will this ever do me when I get out of school. This paper puts forth three different answers to that eternal question of what good will algebra do me?"
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Albert Einstein, 1999.
This paper is a brief biography on Einstein's achievements.
1,050 words (approx. 4.2 pages), 3 sources, AU$ 43.95
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Abstract
This paper explains how if it were not for Albert Einstein the world would be a lot different today as his discoveries and theories lead the way for physicists.
From the Paper
"When ever the phrase great mind or genius is mentioned usually one name comes to mind, and this name is Albert Einstein. This is so, because Einstein may very well have been the greatest mind of the twentieth century. Einstein revolutionized modern scientific thinking and was a master of physics and mathematics. From an early age Einstein showed skills and interests rare among others his age. From the beginning Einstein was destined for something special."
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The Man Who Was Pythagoras, 2001.
This paper is a biography of the mathematician, his work outside mathematics, a description of the Pythagorean Theorem, and the Pythagorean Society.
815 words (approx. 3.3 pages), 2 sources, AU$ 35.95
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Abstract
This paper offers a biographical look at Pythagoras. The author discusses the many mysteries surrounding this man, in addition to his many contributions to mankind. Included are some explanations of some Pythagorean theorems, with pictures to highlight textual information.
From the Paper
"Numbers play a large part in our everyday lives, from the time we get up, how long we cook our food, the distances we travel, and other such aspects, many of which we take for granted. A scholar who played a large part in the way we view certain numbers and objects people use regularly is Pythagoras. Pythagoras was a philosopher, medical practitioner, astronomer, and mathematician. Although he contributed many thoughts and ideas to society, such as those of the Pythagorean Society, the Pythagorean Theory is by far the most practiced and well-known."
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Sir Isaac Newton's Mathematical Influence on Physics, 1997.
1,390 words (approx. 5.6 pages), 5 sources, AU$ 55.95
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Abstract
This essay discusses the life of Sir Issac Newton and the points of his life that brought forth his great advances in the realm of physics and mathematics.
From the Paper
"As a child Sir Isaac Newton took little interest in what was being taught to his classmates (Bixby 90). Instead, he found ways to fulfill his desire to learn. He marked where the shadows fell in his yard in order to keep time, thus producing his sundial (Rattansi 12). His interest in rushing water inspired Newton to build a windmill. He created the first horseless carriage. In addition to the pursuit of his numerous boyhood interests, Newton spent time with his landlord as the apothecary and concocted remedies for the illnesses of the locals (Christianson 16)."
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Risk Management Methods, 2001.
A literature review of risk management methods.
6,400 words (approx. 25.6 pages), 13 sources, AU$ 177.95
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Abstract
This paper analyzes five of the most commonly used methods of risk management, establishes the differences, similarities and effectiveness among the given methods. and then draws conclusions regarding the effectiveness of each method.
From the Paper
"Project development, especially in the software related field, due to its complex nature, could often encounter many unanticipated problems, resulting in projects falling behind on deadlines, exceeding budgets and result in sub-standard products. Although these problems cannot be totally eliminated, they can however be controlled by applying Risk Management methods. This can help to deal with problems before they occur. Organisations who implement risk management procedures and techniques will have greater control over the overall management of the project. "
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Contribution of Past Civilizations to Modern Mathematics, 2001.
1,115 words (approx. 4.5 pages), 2 sources, AU$ 46.95
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Abstract
This paper shows how the ancient civilizations contributed to the development and advancement of mathematics, a science which could be considered as old as humanity itself. It documents the way mathematics has grown over the centuries thanks to the work and dedication of hard working scientists that have given us the privilege of enjoying the discoveries that they made centuries ago. A description is given of the names and works of mathematicians such as Pythagoras, Democritus, Hippocrates and so many others that promoted the development of mathematics.
From the Paper
"The first civilization that used mathematics in an organized way was the Babylonians and the Egyptians. They started to develop this science at the 3rd millennium BC. Their early discoveries were mostly based on arithmetic, measurement and calculation in geometry. The Egyptians used a numerical system similar to that of the Romans. An old Egyptian text, composed about 1800 BC, reveals a decimal numerical system with separate symbols for the successive powers of 10 (1, 10, 100, etc). Addition was done by totaling separately the units- 10s, 100s, and so forth- in the numbers to be added. Multiplication was based on successive doublings, and division was based on the inverse of that process."
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Modern Geometry, 2000.
A brief history of modern geometry.
1,300 words (approx. 5.2 pages), 4 sources, AU$ 51.95
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Abstract
This paper gives a summary of the history of modern geometry, from ancient Greece to the present, including a discussion of the significance of Euclid's first five postulates, emphasizing the fifth (Parallel Postulate) and how it relates to the Hyperbolic Geometry.
From the Paper
"Many great philosophers and mathematicians worked on the study of geometry. Euclid was perhaps the most famous of these. Almost nothing is known about his life, but his famous work ,"Elements" (ca. 300 BCE) remains one of the most widely read and copied texts to this day. He gathered all of the geometrical knowledge of his time and arranged it in a logical format. (36, Levine) What distinguishes "Elements" from other works is the use of proof throughout. As far as is known, Euclid was the first person to attempt such a task. He used the Axiomatic Method to prove the correctness of the statements put forth in "Elements""
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Statistics: An Essay on its Use in Everyday Life, 2001.
This paper defines statistics and shows the numerous ways statistics is applied to everyday life and why it is useful.
1,500 words (approx. 6.0 pages), 9 sources, AU$ 59.95
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From the Paper
"Statistics is a branch of mathematics dealing with the collection, organization and analysis of numerical data the application of this information to make informed decisions in a variety of applications. Statistical results may be used to forecast business trends, define the extent of prevailing opinion throughout a given population, changes in availability of resources or assets, and provide quantifiable answers to questions in almost every type of business, social or political area. (Encarta) Professor Edwards of the Andover Theological Seminary defined statistics as "the ascertaining and bringing together of those facts which are fitted to illustrate the conditions and prospects of society."
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History of Greek Mathematicians, 1999.
A short history of the great Greek mathematicians. Amongst those discussed are Pythagoras, Zeno, Euclid, Hippocrates, and Thales.
742 words (approx. 3.0 pages), 4 sources, AU$ 31.95
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Abstract
A short history of the great Greek mathematicians. Amongst those discussed are Pythagoras, Zeno, Euclid, Hippocrates, and Thales. This essay is a brief overview of their major contributions to modern mathematics.
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