Augustus De Morgan was a 19th century mathematician and logician who made significant contributions to the fields of algebra, logic, and probability. His work laid the foundations for modern mathematical logic and set theory, and his ideas continue to influence mathematics and computer science to this day.
One of De Morgan's most important contributions was his development of the algebra of logic, which he used to prove the validity of logical principles and to solve logical problems. He developed a system of symbolic notation to represent logical statements and used it to define the laws of logic, such as the principle of non-contradiction and the principle of excluded middle. He also developed the concept of a logical function, which is a function that takes one or more input values and returns a single output value based on a set of logical operations.
In addition to his work in logic, De Morgan made significant contributions to the field of algebra. He developed a system of algebraic notation that is still in use today, and he introduced the concept of a negative number. He also made significant contributions to the development of the theory of equations, and his work on the theory of matrices laid the foundations for modern linear algebra.
De Morgan was also interested in probability and statistics, and he made several important contributions to these fields as well. He introduced the concept of a distribution function, which is a mathematical function that describes the probability of a random variable taking on a particular value. He also developed a method for calculating the probability of an event occurring based on the probabilities of individual outcomes, which is now known as De Morgan's rule.
In addition to his contributions to mathematics and logic, De Morgan was also a pioneer in the field of computer science. He was one of the first to propose the use of machines to perform calculations, and he developed a machine that could perform simple arithmetic operations. This machine, known as the De Morgan Calculator, was an early prototype of the modern computer and helped to pave the way for the development of more advanced computing systems.
Overall, Augustus De Morgan's contributions to mathematics, logic, and computer science have had a lasting impact on these fields and continue to be studied and applied today. His work laid the foundations for modern mathematical logic and set theory, and his ideas continue to influence the way we think about and use mathematics in the 21st century.
Augustus Morgan Logic Mathematics Mathematical, Sample of Essays
He probably devoted too much time to his study of Classics, certainly in his first years, and his health was poor at times. His schoolmaster, Mr Parsons, put pressure on him to study classics at university, but De Morgan's love was mathematics. Augustus de Morgan Biography and Contribution to Math World Augustus De Morgan was known as a British mathematician and logician. His father died when he was six, then he went to live with his aunt, Marian Anderson the celebrated contralto. As the days went by, I decided that this must be owing to his mathematical logic. Each proposed a list of symbols, with the hope, no doubt, that mathematicians in general would adopt them.
Augustus De Morgan's Algebraic Work: The Three Stages on JSTOR
In 1828 De Morgan published The Elements of Algebra, his English translation of the first three chapters of Élémens d'algèbre by Pierre Louis Marie Bourdon 1779- 1854. He was a very popular social rights leader and social equality activist. The passage from A Manual of Universal History and Chronology, for the Use of Schools, by H. Hamilton and George Boole, as one of several independent discoverers of the all-important principle of the quantification of the predicate. Letter from Augustus De Morgan to H. This book, published in 1893, contained a fascinating diagrammatic method for representing logical ideas.
Biography and Mathematical Achievements of August De Morgan Essay Example
Monthly 4 1897 , 1- 5. After spending over 30 years 1783-1814 in India, Colebrooke returned to England where he published Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara London, 1817 and co-founded both the Royal Astronomical Society in 1820 and the Royal Asiatic Society in 1823. In 1866 his life became clouded by the circumstances which led him to abandon the institution so long the scene of his labours. Their most notable work, Photographic Portraits of Living Celebrities, was published in parts from 1856 to 1859. That expectation has not been realized.
Augustus De Morgan
De Morgan felt that it was important for the students to know the history of mathematics to understanding the development of the field. By reflecting on the processes of mathematics, he was led like Boole, to the conviction that a far larger number of valid inference were possible that had hitherto been recognized. De Morgan's schooling began in Barnstaple where he was taught reading and writing by Miss Williams, then in Taunton where, 1813- 14, Mrs Poole taught him reading, writing and arithmetic and in the next couple of years the Rev J Fenner taught him Greek and Latin. . This book discusses infinite series, summation, interpolation, andquadrature. The severity of the treatise is relieved by characteristic touches of humour, and by quaint anecdotes and allusions furnished from his wide reading and perfect memory.
Augustus de morgan biography and contribution to math world Free Essays
He was born in June 1806 at Madura, Madras presidency, India and educated at Trinity College, Cambridge in 1823. He did this most likely to bring him strength in this battle as after the battle he was able to avenge his adoptive father Julius Caesar by killing his assassins. This takes us beyond the scope of this article, though it should be clear how Boole's use of the "sign" in logic lurks in the background of Peirce's philosophy of "symbol". Review essays and book reviews on new publications in the field are also included. De Morgan attended many private schools. During the 19th century, without calculating devices, these factorials were difficult to compute for large whole numbers. Unless the pupils are well assured of this they will look upon the situation of Professor as of very ambiguous respectability, and they will only be wrong inasmuch as there will be no ambiguity at all in the case.
