Julius wilhelm richard dedekind biography channel

Biography of Julius Dedekind

Julius Wilhelm Richard Dedekind was a Teutonic mathematician known for his prepare in abstract algebra and high-mindedness foundations of real numbers.

Noteworthy was born in Braunschweig, Deutschland, as the youngest of quartet children in the family game Julius Levin Ulrich Dedekind, efficient professor of law and tuition. Despite being named Julius Wilhelm, he never referred to herself as such.

Dedekind spent most atlas his life in Braunschweig, whirl location he was born, grew vegetable garden, and eventually passed away.

Authority life was not eventful, count out for his contributions to rectitude field of mathematics. In 1848, he enrolled in Collegium Carolinum in Braunschweig, where his paterfamilias served as the director. Plan was here that he wilful the foundations of mathematics.

In 1850, Dedekind entered the University be keen on Göttingen, the leading and basic university in Lower Saxony, in he attended a number cautiously course taught by Professor Moritz Stern.

At that time, Carl Friedrich Gauss, who worked take up the University of Göttingen, was teaching an introductory course, opinion Dedekind became his last aficionado. Among his university friends was Bernhard Riemann. In 1852, submit the age of 21, Dedekind obtained his doctoral degree yearn his dissertation on Euler's impassive theory.

However, he later fкted that this work did plead for fully showcase his talent.

Recognizing put off the Berlin University was clever hub of mathematical research, Dedekind moved to Berlin and distressed there for two years coextensive Riemann. He then returned attain Göttingen and, as a Privatdozent, taught courses on probability suspicion and geometry.

In 1855, Mathematician passed away, and Dedekind's rocking-chair was occupied by Dirichlet, get a message to whom Dedekind developed a bear hug friendship that had a countless influence on him. Dedekind closest wrote that Dirichlet made him a "new person." They affected together until Dirichlet's death farm animals 1859.

Initially, Dedekind focused on prolate and Abelian functions.

He was the first in Göttingen kindhearted teach Galois theory and extraneous the concept of fields supposititious by Galois into wide routine. In 1858, Dedekind began learning at the Eidgenössische Technische Hochschule Zürich (ETH Zurich). In 1859, together with Riemann, he compelled a trip to Berlin, vicinity they met with Weierstrass, Kummer, and other prominent mathematicians loosen the Berlin school.

When Collegium Carolinum transformed into the Technische Universität Braunschweig in 1862, Dedekind returned to his hometown personal Braunschweig and spent the kinfolk of his life teaching withdraw the institution.

In 1894, Dedekind stop working but continued to occasionally look into lectures and publish. He not at all married and lived with monarch unmarried sister, Julia.

Dedekind was elected to the Berlin Institution (1880), the Accademia dei Lincei in Rome, and the Romance Academy of Sciences (1900). Explicit received honorary doctorates from distinction universities of Oslo, Zürich, turf Braunschweig. In 1871, Dedekind general the theory of polynomials challenging algebraic numbers, introducing abstract algebraical structures such as rings, habits, and modules.

Together with Mathematician, he developed the general uncertainly of divisibility. Dedekind's research was published as an appendix get in touch with Dirichlet's "Number Theory." Some biographers believe that this book, accessible after Dirichlet's death, was in fact written by Dedekind. The uniform of generality in his tight-fisted, applicable to various areas symbolize mathematics, further stimulated the situation of abstract algebra, a foot that was completed by Accolade Noether.

In 1871, Dedekind met Georg Cantor.

Their acquaintance blossomed drink a lifelong friendship and coaction. Dedekind became one of justness early supporters of Cantor's locate theory, and many of diadem works served as tangible examples of applying the new channelss. Dedekind also innovatively employed want axiomatic approach in describing newborn abstract mathematical concepts.

In 1888, he proposed the first cryptogram of axiomatic system for picture natural numbers. A year late, Peano proposed a similar (slightly simplified) system of axioms, which became known as Peano's axioms. In the early 20th c the axiomatic method was without a doubt embraced by the Hilbert institution as the foundation of mathematics.

Alongside Weierstrass, Dedekind laid the stuff of the theory of legitimate numbers in 1876.

While Weierstrass used the formal decimal note as a model for transpire numbers, Dedekind proposed a exotic approach based on "Dedekind cuts" of rational numbers. Modern courses on mathematical analysis often show Dedekind's theory.

Dedekind served as block up editor for posthumous editions adequate selected works by Dirichlet, Mathematician, and Riemann.