| History
Of The Abacus / From West To East & Beyond : A 15 page paper that provides an
overview of the history and development of the abacus. The report essentially compares the
Chinese, Roman, Greek, Russian and Indian counting methods utilizing similar instruments.
Bibliography lists 6 sources. Abacus.doc
Benefits Of Computer-Taught Math Over
Standard Textbook Practices : A 10 page study that provides support for the
hypothesis that computer taught math provides significant beneficial outcomes for learners
in terms of test scores. Bibliography lists 10 sources. Mtcomp.wps
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. Diffequa.wps
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. Linalgeb.wps
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. Velocity.wps
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. Graph.wps
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. Chaosthy.wps
Cryptology, Cryptography and Electronic Security
: A 10 page research paper describing cryptology. Simply put, cryptology is a part of
the larger classification of number theory, and provides the mathematical foundation upon
which the science of cryptography is built. Cryptography is high-level encryption science
used primarily to ensure privacy in our increasingly electronic age. Electronic messages,
personal data, governmental security issues and secret industrial work are all appropriate
candidates for encrypting, and all routinely are in some form or another when based in
electronic media. Bibliography lists 7 sources. Crypto.wps
Cryptography & The Issue Of Internet
Security : A 5 page overview of the importance of Internet users being able to
depend on the safety and security of the information they both transmit and receive.
Discusses cryptography as a workable solution to the problem of Internet security and
contrasts it to the less effective TCP/IP. Bibliography lists 4 sources. Crysc.wps
Algorithm Basics : A 10 page research
paper exploring the basics of algorithms and data structures in relationship to queues,
data types, trees, hashing, heaps, graphing and design. Bibliography lists 11 sources. Algbas.wps
Fear of Mathematics (Math Anxiety) : 9
pages in length. A comprehensive look at the problem of "math anxiety" and
numerous studies that have attempted to help improve our understanding of its treatment.
Among other things, the writer discusses how to quantitatively assess Math Anxiety and
concludes with recommendations for helping young children who suffer from it. Bibliography
lists 20+ sources. Mathanxi.wps
Gender and the Capacity for Learning
Mathematics : An in-depth, 20 page research paper in which the writer seeks to
determine whether which sex is more apt to have problems grasping math concepts at an
early age. Report contains analysis, methodology, discussion, etc; Numerous studies are
cited and it is found that while girls generally perform better, they are more likely to
avoid harder levels of math than are their male counterparts. Standard bibliography lists
20+ sources and a FREE annotated ("working") bibliography is included ! Mathgend.wps
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
Cameras / Focal Points, Aperture & Other
Mathematical Concepts : A 9 page outline of the underlying concepts of photography
and their relation to mathematics. Includes information about different camera types.
Emphasizes methodology for the determination of focal length. Bibliography lists eight
sources. Caminfo.wps
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