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MORE EXAMPLE TERM PAPERS ON MATHEMATICS
__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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