## Archive for algebra

You are browsing the archives of algebra.

You are browsing the archives of algebra.

Gottfried Wilhelm Leibniz was born in Leipzig, Germany in 1646 and became known primarily for his contributions to philosophy and mathematics but was also accomplished in many other fields. He created the modern binary number system that is used by computers and at the same time as Newton, invented calculus. He invented the mathematical sign […]

Charles Hermite was born in the Lorraine region of France in 1822 and was a mathematician. He made contributions to number theory, algebra, and elliptic functions. He used elliptic functions to solve a fifth degree algebraic equation. In 1873, he proved that “e” is a transcendental number. PREQUISITE: 1707 – Euler 1736 – Lagrange 1777 […]

Friedrich Engel was born in 1861 in Saxony (now Germany) and was a mathematician primarily known for collaborating with Sophus Lie to publish, “Theory of Transformation Groups”. He did his doctoral studies under the guidance of Felix Klein. He studied the history of non-euclidean geometry and translated some of the papers of Lobachevsky from Russian […]

Born in the Assak region of central India around 476, Aryabhata was an Indian mathematician and astronomer who wrote a text in Sanskrit that is known as the Aryabhatiya. It was written in poetic verse and is a compilation of Indian knowledge of astronomy and mathematics at the time. Through this text, Aryabhata became the father […]

Pythagoras was a Greek mathematician born around -575 on the island of Samos. He is best known for the “Pythagorean theorem” which states that in a triangle with a ninety degree angle (right angle), a square formed by the long side opposite the right angle (the hypotenuse) is equal to the sum of the squares […]

Ethical analysis requires some form of establishing values for properties of the components of an ethical scenario and comparing them to determine the best pathway through the options. Using vectors to represent ethical components should be helpful. A vector has a directional factor and a magnitude factor. In many vectors, the magnitude factor shows distance […]

Girolamo Cardano was born in northern Italy in 1501 and was a mathematician. His father was a lawyer who also gave university lectures on geometry and was consulted by Leonardo Da Vinci on the subject. Cardano indulged in gambling which enhanced his understanding of probability. The gambling habit also wrecked his personal life and earned […]

“Vollständige Anleitung zur Algebra” translated literally means, “Complete Instruction to Algebra”, but it has become known in the English translation of “Elements of Algebra” as the first modern algebra textbook. When it was published in 1770 by Leonhard Euler, the author was near complete blindness. Twenty years earlier, he had published volumes on functions and […]

timeline of trigonometry – the foundations for algebra were laid by earlier techniques used in geometry and trigonometry -0250 – “Arithmetica” by Diophantus is a collection of algebraic problems and solutions 0499 – Aryabhata – began basic symbolic algebraic equations using the Hindu decimal number system 0780 – al-Khwarizmi “The Compendious Book on Calculation by […]

William Rowan Hamilton was born in 1805 in Dublin, Ireland and was a mathematician, physicist and astronomer. In mathematics, he studied number theory and various forms of algebras, eventually producing an extension to complex numbers (combinations of real numbers and “imaginary” units that involve the square root of negative one) that is known as quaternions. […]