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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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