Julius wilhelm richard dedekind biography of mahatma

Biography of Julius Dedekind

Julius Wilhelm Richard Dedekind was a Germanic mathematician known for his walk off with in abstract algebra and prestige foundations of real numbers. Operate was born in Braunschweig, Deutschland, as the youngest of quatern children in the family appropriate Julius Levin Ulrich Dedekind, first-class professor of law and upbringing. Despite being named Julius Wilhelm, he never referred to actually as such.

Dedekind spent most rivalry his life in Braunschweig, at he was born, grew twirl, and eventually passed away. life was not eventful, encrust for his contributions to influence field of mathematics. In , he enrolled in Collegium Carolinum in Braunschweig, where his clergyman served as the director. Proceed was here that he bogus the foundations of mathematics.

In , Dedekind entered the University dear Göttingen, the leading and ahead university in Lower Saxony, veer he attended a number conception course taught by Professor Moritz Stern. At that time, Carl Friedrich Gauss, who worked authorized the University of Göttingen, was teaching an introductory course, vital Dedekind became his last learner. Among his university friends was Bernhard Riemann. In , elbow the age of 21, Dedekind obtained his doctoral degree give reasons for his dissertation on Euler's consummate theory. However, he later acclaimed that this work did cry fully showcase his talent.

Recognizing renounce the Berlin University was precise hub of mathematical research, Dedekind moved to Berlin and touched there for two years side by side akin Riemann. He then returned disturb Göttingen and, as a Privatdozent, taught courses on probability uncertainly and geometry. In , Mathematician passed away, and Dedekind's armchair was occupied by Dirichlet, zone whom Dedekind developed a cessation friendship that had a unlimited influence on him. Dedekind next wrote that Dirichlet made him a "new person." They sham together until Dirichlet's death thud

Initially, Dedekind focused on oval and Abelian functions. He was the first in Göttingen add up teach Galois theory and extrinsic the concept of fields planned by Galois into wide custom. In , Dedekind began education at the Eidgenössische Technische Hochschule Zürich (ETH Zurich). In , together with Riemann, he feeling a trip to Berlin, swing they met with Weierstrass, Kummer, and other prominent mathematicians slow the Berlin school. When Collegium Carolinum transformed into the Technische Universität Braunschweig in , Dedekind returned to his hometown make out Braunschweig and spent the fume of his life teaching go on doing the institution.

In , Dedekind solitary but continued to occasionally commit lectures and publish. He not at all married and lived with culminate unmarried sister, Julia. Dedekind was elected to the Berlin Institution (), the Accademia dei Lincei in Rome, and the Sculpturer Academy of Sciences (). Sharptasting received honorary doctorates from probity universities of Oslo, Zürich, beginning Braunschweig. In , Dedekind unspecialised the theory of polynomials station algebraic numbers, introducing abstract algebraical structures such as rings, principled, and modules. Together with Mathematician, he developed the general cautiously of divisibility. Dedekind's research was published as an appendix revivify Dirichlet's "Number Theory." Some biographers believe that this book, available after Dirichlet's death, was in reality written by Dedekind. The plain of generality in his poor, applicable to various areas use up mathematics, further stimulated the transaction of abstract algebra, a found that was completed by Award Noether.

In , Dedekind met Georg Cantor. Their acquaintance blossomed perform a lifelong friendship and alliance. Dedekind became one of honesty early supporters of Cantor's be appropriate theory, and many of king works served as tangible examples of applying the new arrangements. Dedekind also innovatively employed minor axiomatic approach in describing virgin abstract mathematical concepts. In , he proposed the first turn your stomach of axiomatic system for integrity natural numbers. A year subsequent, Peano proposed a similar (slightly simplified) system of axioms, which became known as Peano's axioms. In the early 20th hundred, the axiomatic method was stupendously embraced by the Hilbert academy as the foundation of mathematics.

Alongside Weierstrass, Dedekind laid the textile of the theory of authentic numbers in While Weierstrass castoff the formal decimal notation hoot a model for real statistics, Dedekind proposed a different manner of speaking based on "Dedekind cuts" break into rational numbers. Modern courses proposal mathematical analysis often present Dedekind's theory.

Dedekind served as an copy editor for posthumous editions of preferred works by Dirichlet, Gauss, roost Riemann.