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Term Papers (Maths)

We have 137 sample essays and term papers on Maths listed below. Unlike other term paper sites, all of our essays are 100% original, have been written by professional writers and are ready right now.

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1.	Differential Equations An 18 page research paper on every available aspect of differential equations including Laplace Transforms and much more. A number of graphical illustrations are provided and the bibliography lists more than 8 sources.

2.	Linear Algebra A 15 page research paper on various concepts in linear algebra. The writer details multivariables, vectors, determinants, gaussian elimination, and other elements of linear algebra. Bibliography lists 6 sources.

3.	The Derivative In Average & Instantaneous Velocity A 5 page paper explaining both average and instantaneous velocities. The writer demonstrates the relationship between the derivative and these primary functions. Bibliography lists 4 sources.

4.

Graph Theory A 6 page overview of the mathematical discipline of graph theory. As a field of study, graph theory has nothing at all to do with what most people normally associate with the word 'graph,' and is a specialized field. Applications range from analyzing children's games to finding the furthest stretch of graph theory principles. Bibliography lists 6 sources.

5.

Number Theory / Chaos Theory A 10 page paper that presents the basics of chaos theory, including mathematical information in a historical context (theorists). The paper covers Lorenz, Ruelle and Takens, Benoit Mandelbrot, Einstein, Shaw and the Santa Cruz collaborative, and modern submissions. The paper concludes with a look at the possibilities of application of chaos theory to neural nets. Bibliography lists 8 sources.

6.

The Game Of Blackjack / Card Counting & Other Strategies This 5 page paper provides an overview of the game of Blackjack. A brief history and explanation of the game is included but the focus is on methods used to increase the odds of winning the game. Card counting, perecentages, & commonsense ratios are discussed and other strategies are explained in detail. Bibliography lists 5 sources.

7.	The Science of Escher / Symmetry and Metaphor A 10 page paper that provides an overview of the elements of science in the works of Escher, with a focus on symmetry and metaphor based in his mathematical approach. Bibliography lists 8 sources.

8.

Girolamo Cardano / Mathematician 8 pages in length. Cardano was a 16 century Italian mathematician best known for his work entitled "Ars magna" (the "Great Art"), from which many new ideas in algebra were systematically presented. Among them are Cardano's rule and the linear transformations that eliminate the second degree terms in a complete cubic equation. Report is written in part as a sentence outline and contains various pictorial examples of Cardano's formulas. Bibliography lists 7 sources.

9.

John Napier / The Creator of Logarithms A 9 page research paper on the life, works, and mathematical contributions of John Napier (1550-1617) -- the man most commonly associated with the creation of Logarithms. Napier also developed methods for multiplying and dividing small rods known as Napier's Bones, a device that was the forerunner of the slide rule. Some sample equations and a glossary of terms (defined) are included. Bibliography lists 12+ sources. Napier.wps *A 10 page version of this report is also available with more personal analysis as

10.

Pythagoras / The Philosopher, The Mathematician A 15 page account of what is known of the life and scientific and mathematical contributions of Pythagoras. Particular attention is paid to the religious beliefs of his Pythagorean Order and how their beliefs has made it difficult to get a true understanding of Pythagoras' contributions to science and mathematics. A summary of the contributions which have been attributed to Pythagoras is included. Emphasis is placed on the Pythagorean Theorem, the principles which determine the concordant scale, and musical spheres. Information is also provided regarding current thought regarding Pythagoras' beliefs concerning vegetarianism, the human and animal soul and reincarnation. A brief overview of his ethnic origins, his birthplace, his studies, and travels is also included. Bibliography lists six sources.

11.	Pythagoras & Morality In Greek Philosophy A 9 page paper on theories of morality in Greek philosophy focusing upon the works of Pythagoras. Pythagoreanism is seen only as a theory of the universe but also as a way of salvation. Bibliography lists 5 sources.

12.	The Importance of Mathematics in Early Greek Culture A 12 page comprehensive study of early Greek mathematicians and their cultural significance. Included in the discussion are Ptolemy, Pythagoras, Aristotle, Plato, and others. Bibliography lists 9 sources. (also related to Astronomy)

13.

Aristotle / Contributions To Mathematics Analyzed This 5 page research paper discusses Aristotle's contributions to the field of mathematics. Specifically discussed are Aristotle's views on mathematics, in terms of the advancement of science, and his logical approach to mathematical study through syllogisms. Bibliography lists 7 sources.

14.	Einstein's Mathematics In 5 pages the author discusses Albert Einstein's contributions to the field of science and mathematics while explaining such theories as E=mc2. Bibliography lists 8 sources.

15.

Conic sections and their polar equations: 5 pages in length. 5 pages in length. Describes the polar equations associated with conic sections and the role played by eccentricity of the conic. A conic section is the two-dimensional figure that results when a plane insects a cone at various angles. Take one of these figures and revolve it, and you have a three-dimensional surface of revolution that matches the shape of the optical component. Bibliography lists 5 sources.

16.	Statistics: T-Ratio and the Homogeneity of Variance 5 pages in length. Identifies, definies and interprets the methods for evaluating the non-homogeneous data sets. Looks at both t-ratios and homogeneity of variance. Bibliography lists 6 sources.

17.

The Ethics of Risk A 5 page essay that examines Peter L. Bernstein's history of the number theory of risk, "Against the Gods," from the standpoint of the ethics of risk. The writer argues that the development of this field has led humanity on a path toward more ethical behavior. No additional sources cited.

18.

Reliability In The Context Of Measurement Error 5 pages in length. The writer discusses reliability in the context of measurement error, as well as addresses the notion of statistical significance as it applies to the evaluation of correlation coefficients used as measures of reliability. Bibliography lists 5 sources.

19.

The Creative Genius of Albert Einstein This 7 page paper look's at the character and through processes of Albert Einstein. The way in which many discoveries were only stepping stones to the next greater discovery is discussed along with the effect that his genius had on his life. The bibliography cites 6 sources.

20.

Aristotle: His Contributions to Math 5 pages. One of Aristotle's greatest contributions to mankind is within the field of math. Because his philosophical believes were predicated solely on logic and syllogism, and these are mathematical in nature, it is a fact that Aristotle based most of his philosophy on analysis and math. Bibliography lists 3 sources.

21.	Issues in Mathematical Decidability This 8 page paper looks at the definition of decidability and then answers some specific questions posed by the student to do with its use and interaction in calculus. The bibliography cites 5 sources

22.

The Evolution of Algebra 5 pages in length. In this paper the history of Algebra is presented and the role that it plays in mathematics today. There is also discussion on some of the mathematicians who played a key role in the advancement of Algebra as well as examples of applications in which Algebra is used. Bibliography lists 5 sources.

23.

Statistics Overview A 5 page paper discussing the science of statistics and its use in today's environment. The study and use of statistics must be done in such a way that an accurate view results from statistical manipulation. Some statistical errors are benign and result primarily from ignorance or poor research design. Others, however, are intentionally promoted for the purpose of "proving" a desired outcome. Bibliography lists 7 sources.

24.

The History of Numbers This 14 page report discusses the ways in which humanity has developed numerical systems corresponds to the ways that the human species also developed. As human thinking grew in complexity, so did the application of numbers and the understanding of numbers. And yet, little thought is given to why human beings came up with the idea of numbers or how it is possible to count. . Modern historians and social scientists have traced the processes associated in the history and development of numbers from Europe to China, via the Classical World, Mesopotamia, South America and, even more than any where else on Earth, India and Arab lands. Bibliography lists 3 sources.

25.

"Statistical Question Using Spearman's Coefficient of Rank Correlation" A four page paper which looks at methods of statistical analysis in terms of parametric and non-parametric tests and demonstrates analysis of a statistical question using Spearman's Coefficient of Rank Correlation. Bibliography lists 3 sources.

26.	Pythagoras Theorem and Pythagoras Triples This 10 page paper explain these theories, giving examples of the formulas as well as the way in which they can be used and proven. The paper includes different illustrations to prove the theories. The bibliography cites 6 sources.

27.	Newton and Leibniz In this 7 page paper we look at how both of these men can be seen as the founders of calculus. The paper considers their ideas and the ways in which they were similar was well as the controversy over the publishing of these ideas. The bibliography cites 6 sources.

28.	Consumer Time: Market Time, Non-Market Time, and Leisure A 10 page paper which discusses how rational consumers allocate their time between market time, non-market time, and leisure time. Bibliography lists 11 sources.

29.	Venn Diagrams and their Use of Boole's Algebra This 5 page paper examines the simple Venn diagrams represented by overlapping circles and considers how these may be seen as a visual representation of some of the logical ideas of Boole. The bibliography cites 2 sources.

30.

Linear Transformation On Upper Triangular Matrix This 6 page paper considers this complex subject, first defining both linear transformation and upper triangular matrices, going on to look at the preserving elements with sub sections on inertia-preservers, idempotent preservers and commutativity preservers. The bibliography cites 6 sources.

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