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Papers On Mathematics
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Inuitive and axiomatic mathematics
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A paper which considers the difference between intuitive and axiomatic mathematics, and some of the reasons why the former is most commonly found in school curriculums, whereas the latter forms part of university level studies. Bibliography lists 11 sources.
Filename: JLaxiom.rtf
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
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: MBstatin.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
