Archive for non-euclidean

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1861 – Engel – bio

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 […]

-0325 – Euclid – bio

Euclid was a Greek mathematician and scholar who worked in Alexandria during the rule of Ptolemy. Euclid is best known for his vast collection of mathematics and geometry in a series of books called, “The Elements”. While it is possible that most of the work compiled in The Elements had been discovered previously by others, […]

From Euclid to Minkowski

The history of non-euclidean geometry -0325 Euclid – “The Elements” was a series of books on mathematics and geometry that established a system of axioms and postulates forming proofs that became a cornerstone of logical reasoning and modern science. In the geometry of planes (2D spaces), the “parallel postulate” establishes that parallel lines on a […]

1792 – Lobachevsky – bio

Nikolai Ivanovich Lobachevsky was born in 1792 in Russia and became a mathematician known for developing non-euclidian geometry. He also found a method for approximating roots of algebraic equations that is now known as the Dandelin-Graffe method. Lobachevsky, Bolyai and Gauss all appear to have independently discovered the form of non-euclidean geometry called hyperbolic geometry […]

1845 – Clifford – bio

William Clifford was born in 1845 in England and was a mathematician who created geometric algebra and suggested a geometric theory of gravity that Einstein adopted and developed in relativity theory. PRECURSOR: -0300 Euclid 1643 – Newton 1777 – Gauss 1792 – Lobachevsky 1802 – Bolyai 1805 – Hamilton 1809 – Grassman 1826 – Riemann […]

1826 – Riemann – bio

Georg Friedrich Bernhard Riemann was born in 1826 in Breselenz, Germany. He worked on analytic geometry, algebraic geometry, and both non-euclidean and n-dimensional geometries. Some of this work laid important foundations for Einstein’s theory of relativity. He composed the famous “Riemann Hypothesis” which deals with predicting prime numbers. He was a student under Gauss. PRECURSOR: […]

1777 – Gauss – bio

1777 - Gauss - bio

“Mathematics is the queen of sciences and number theory the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.” Johann Carl Friedrich Gauss was born in Braunschweig, Germany in 1777. He made great contributions to mathematics, but was […]

1829 – Non-Euclidean geometry

Lobachevsky becomes the first to publish a theory of non-Euclidean geometry even though Gauss had worked on the same ideas earlier and Bolyai was working on it concurrently although independently of Lobachevsky. Bolyai published in 1832. Riemann and Klein advanced the work later. Euclid’s “The Elements” contained postulates and axioms of geometry that set the […]