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Papers On Mathematics
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Issues in Mathematical Decidability
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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
Filename: TEdecida.wps

John Napier / The Creator of Logarithms
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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
Filename: Napier2.wps

John Napier / The Creator of Logarithms
[ send me this paper ]
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.
Filename: Napier.wps

Jordanus Nemorarius And Leonardo Pisano Fibonacci
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A 3 page paper that reports some of the contributions made to mathematics by these two early 13th century mathematicians. Jordanus, for instance, substituted letters for numbers and Fibonacci brought the decimal system to his world. Bibliography lists 4 sources.
Filename: PGjrfb.RTF

Josiah Willard Gibbs
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This 15 page paper provides a biographical sketch of the life of Josiah Willard Gibbs, the great American mathematician and professor at Yale. Bibliography lists 4 sources.
Filename: KTjsgibb.wps

Kinetics
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A 5 page paper which provides a general summary of kinetics, and considers the evolution of kinetic theory. Bibliography lists 5 sources.
Filename: TGkinetc.rtf

Life and works of Euler
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A paper which looks at the life and works of the mathematician Leonhard Euler, and his contribution to the different fields of science, technology and mathematics in Europe in the eighteenth century. Bibliography lists 4 sources.
Filename: JLeuler.rtf

Linear Algebra
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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.
Filename: Linalgeb.wps

Linear Algebra; Linear Models, the Wassily Leontief Input Output Models
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This 5 page paper examines the Wassily Leontief Input Output Models, looks at the assumption and the way in this is calculated with example calculations throughout. The bibliography cites 4 sources.
Filename: TEwassleo.rtf

LINEAR REGRESSION AND CORRELATION
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This 5 page paper gives a brief overview of linear regression, then details the correlation of the regression to independent variables. One graph included. Bibliography lists 3 sources.
Filename: MBstatlin.rtf

Linear Transformation On Upper Triangular Matrix
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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.
Filename: TElintrn.wps

Math Through the Ages, A Gentle History
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A 4 page book review. William Berlinghoff and Fernando Gouvea offer a fascinating and insightful view of the history of mathematics in their text Math Through the Ages: A Gentle History For Teachers and Others. The authors' intention in this work is to give their readers "a general feel for the lay of the land perhaps to help you become familiar with the significant landmarks" (Berlinghoff and Gouvea 5). In short, this is an overview of math history, a "brief survey" of what is in a gigantic topic (Berlinghoff and Gouvea 5). However, the appeal of this book goes deeper than this, as the authors often offer insight into the topic that helps to explain historical details, helping the reader see how math concepts developed and evolved. No additional sources cited.
Filename: khmtta.rtf


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