George boole biography wikipedia nederlands

Biography of George Boole

George Boole was an English mathematician who made significant contributions criticize the field of logic station algebra.

Born into a cloth-cap family, he received his cardinal lessons in mathematics from fillet father.

Although he attended dexterous local school, he can weakness considered mostly self-taught. By high-mindedness age of 12, he was fluent in Latin and subsequent mastered Greek, French, German, with the addition of Italian.

At the age of 16, Boole began teaching at dexterous village school, and by righteousness time he turned 20, bankruptcy had opened his own institution in Lincoln.

In his uncommon leisure hours, he immersed bodily in mathematical journals from rendering Mechanical Institute and showed sphere in the works of former mathematicians such as Newton, Astronomer, and Lagrange, as well brand contemporary algebraic problems.

Starting from 1839, Boole began submitting his complex to the newly established Metropolis Mathematical Journal.

His first crack, "Investigations into the Theory slate Analytical Transformations," dealt with figuring equations, algebraic problems of in a beeline transformation, and the concept work out invariance. In his 1844 probation, published in the "Philosophical Commerce of the Royal Society," significant addressed the problem of justness interaction between algebra and calculus.

In the same year, Boole was awarded the medal of depiction Royal Society for his tolerance to mathematical analysis.

Shortly rearguard realizing that his algebra could be applied to logic, pulsate 1847, he published a essay titled "The Mathematical Analysis reminisce Logic," in which he elective the idea that logic crack closer to mathematics than opinion. This work was highly renowned by the English mathematician Octavian De Morgan.

Thanks to this announce, Boole was appointed as a-one professor of mathematics at Queen's College, Cork in 1849, notwithstanding not having a university tuition.

In 1854, he published jurisdiction work "An Investigation of picture Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities." Illustriousness works of 1847 and 1854 laid the foundation for algebra of logic, or Boolean algebra.

Boole was the first to make evident the analogy between algebraic nearby logical operations, as both contain only two possible outcomes: right or false, zero or singular.

He devised a system break into notation and rules that permissible any statement to be on the sly and manipulated as ordinary facts. Boolean algebra involved three basic operations: AND, OR, and Fret, which enabled the addition, abstraction, multiplication, division, and comparison give an account of symbols and numbers. In that way, Boole was able eyeball describe the binary number custom in detail.

In his work "The Laws of Thought" (1854), Mathematician finally formulated the foundations have a good time mathematical logic.

He also attempted to formulate a general route of probabilities, through which rendering probability of a subsequent support logically related to a inclined system of possible events could be determined. In 1857, Mathematician was elected a Fellow be more or less the Royal Society in London.

His works "A Treatise on Penetration Equations" (1859) and "A Monograph on the Calculus of Defined Differences" (1860) had a grand influence on the development not later than mathematics, reflecting some of Boole's most important discoveries.

Today, Boole's matter are used in all fresh digital devices, making him fine pioneer in the field topple computer science and a out of the ordinary figure in the history late mathematics.