Essays on Algebra

Al Khwarizmi Biography
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Formulas for the Future By Kyle Horn Mr. Davenport Algebra 3 9-15-10 Abu Ja’far Muhammad ibn Musa Al-khwarizmi, was a Persian mathematician, geographer, and astronomer. He was born sometime in 780 AD in Baghdad, then later died there around 850 AD. At that time the area he lived in was the epicentre of an Islamic empire which extended from the Mediterranean all the way to India. He was a scholar in the House of Wisdom in Baghdad. “The word al-Khwarizmi…...
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Allan Yashinski is currently a Temporary Assistant Professor
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  He received his B.S. in Mathematics with highest honors from the Bucknell University, Lewisburg, PA in 2007. Coursework is fulfilling the Computer Science major in the Bachelor of Arts degree program also has been completed. Later he received his Ph.D. in Mathematics from Pennsylvania State University in 2013, where his adviser was Nigel Higson. Mr. Yashinski is a co-organizer of the weekly Noncommutative Geometry Seminar at the University of Hawaii at Manoa. He also was a co-organizer of the…...
250 Words Essay About Fibonacci Sequence
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Abstract: This paper gives a brief introduction to the famous Fibonacci sequence and demonstrates the close link between matrices and Fibonacci numbers. The much-studied Fibonacci sequence is defined recursively by the equation yk+2 = yk+1 + yk, where y1 = 1 and y2=1. By using algebraic properties of matrices, we derive an explicit formula for the kth Fibonacci number as a function of k and an approximation for the “golden ratio” yk+1 / yk. We also demonstrate how useful eigenvectors…...
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Matrices in Matlab
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Matrices in Matlab You can think of a matrix as being made up of 1 or more row vectors of equal length. Equivalently, you can think of a matrix of being made up of 1 or more column vectors of equal length. Consider, for example, the matrix ? ? 1 2 3 0 A = ? 5 ? 1 0 0 ? . 3 ? 2 5 0 One could say that the matrix A is made up of 3…...
Cowling’s Rule Formula Analysis
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The story of the history of the cubic equation illustrates a change in mathematics that came with the Renaissance: the understanding that mathematicians must publish their work to succeed; that instead of keeping mathematical knowledge as secrets within families, to be used as weapons in debates, or in mathematics contests, they must be available to the public. The solution of the cubic equation came at a time when both these conflicting views on mathematics were both in common practice; furthermore,…...
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