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. Blakjack.wps 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. Escher.doc
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. Cardano.wps
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 Napier2.wps
Napier's Life & Works : A short, 3 page
overview of the life
& works of John Napier containing brief descriptions of his
major works and other people also associated with the
development of logarithms. Napier3.wps
The Life and Works of Euclid of Alexandria : This
10 page
paper gives a brief overview of the Greek mathematician,
Euclid. He was the chief architect of the concept and science of
geometry. Bibliography lists five sources. Euclid.wps
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. Pyth.wps
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. Pythagor.wps
Solomon Lefschetz : 5 pages in length. Solomon
Lefschetz,
touted as one of the most revolutionary mathematicians of all
time, played a major role in the progress of American
mathematics at the turn of the century and beyond. He was a
Russian-born mathematician who, after earning his United
States citizenship in 1912, christened a new era in American
mathematics by way of his comprehensive methods and
development of algebraic topology. The writer chronicles his
life's achievements and demonstrates how beneficial his
accomplishments were to the United States. Bibliography lists 4
sources. Lefschet.wps
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) Greekmat.wps
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. Arimath.wps
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. Einsmath.wps
Assessment Methods In Current Mathematics Instruction :
A 12 page paper discussing traditional assessments of
mathematics proficiency in students in light of recent changes in
overall goals imposed by government and the public.
Bibliography lists 12 sources. Mathtest.doc
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