## Who is Richard Dedekind?

Richard Dedekind was a German mathematician who became famous for his contributions to the field of abstract algebra,especially the algebraic theory for numbers, the ring theory, and the foundation of real numbers. During the course of his illustrious career he wrote a paper in which he described âwhat numbers actually are and what they should beâ. He suggested an analysis of the number theory and defined an infinite set of numbers. Most of his life was spent in Braunschweig where he taught mathematics. Along with his own mathematical works such as formulating the âDedekindâs Theoremâ he also edited the various works of Bernhard Riemann, Carl Gauss and Peter Dirichlet. One of his most notable contributions to the field of mathematics was editing the collection of works carried out by Riemann, Dirichlet and Gauss and publishing them in a single volume. Dedekind was brilliant in not only creating concepts and formulating theories but he was also able to express his ideas concisely and clearly which led to their easy acceptance. His analysis of infinite and real numbers was not given full recognition while he was still alive but became one of the major influences on the field of modern mathematics after his death.

## Richard Dedekind Childhood & Early Life

Richard Dedekind was born as Julius Wilhelm Richard Dedekind in Braunschweig, a city in northern Germany on October 6, 1831. He never used the names âJuliusâ and âWilhelmâ when he grew up. He was born, spent the greater part of his life, and ultimately died in Braunschweig, which is sometimes called Brunswick in English.

His father was a lawyer named Julius Levin Ulrich Dedekind who worked as an administrator for the âCollegium Carolinumâ at Braunschweig which was a cross between a high school and university.

His mother was Caroline Mare Henriette Emperius, the daughter of a professor who also worked at the âCollegium Carolinumâ.

Richardwas the youngest of the four children in the Dedekind family and had an elder sister named Julia with whom he lived for the major part of his life. Just like Richard would, she also remained unmarried throughout her life.

He did not have any great interest in mathematics while he was studying from 1838 to 1847 at the school named âGymnasium Martino-Catharineumâ in Braunschweig and found the subjects of physics and chemistry illogical and quite boring.

Though physics and chemistry were the main subjects that he had to study, his lack of interest in them made him take up mathematics as the only subject worth studying and turned to algebra, calculus and analytic geometry while studying at the âCollegium Carolinumâin Braunschweig from 1848 to 1850. His years at the âCollegium Carolinumâ provided a solid mathematical base which helped him later.

In 1850 he entered the âUniversity of Gottingenâ to study mathematics under MoritzA. Stern, G. Ulrich and Carl Friedrich Gauss. He studied ânumber theoryâ under Stern and elementary mathematics under Gauss as his last student. He completed his doctoral work under Gaussâs supervision within a period of four semesters and received his doctorate degree from this university in 1852, for the thesis âUber die Theorie der Eulerschen Integrateâ or âOn the Theory of Eulerian Integralsâ.

As most of the research on mathematical problems was carried out at the âUniversity of Berlinâ and not the âUniversity of Gottingenâ, Dedekind went to Berlin and studied in the university for two years. During that period Bernhard Riemann was his contemporary and both of them received âhabilitationâ in 1854 from the âUniversity of Berlinâ.

## Richard Dedekind Career

Richard Dedekind started his career by serving as a âPrivatdozentâ or âunsalaried lecturerâ at the âUniversity of Gottingenâ and taught geometry and probability there from 1854 to 1858. While there he became good friends with Peter Gustav Lejeune Dirichlet and studied abelian and elliptic functions as he wanted to strengthen the mathematical knowledge he had.

When Dirichlet was appointed to fill the chair after Gauss died in 1855, Dedekind found that working under him was extremely useful. He attended the lectures on potential theory, theory of numbers, definite integrals and partial differential equations given by Dirichlet and soon became friends with him. His interest in mathematics got a fresh lease of life after carrying out various discussions with Dirichlet.

In 1856 Dedekind became the first person to give a lecture on âGalois Theoryâ during a course on mathematics that he gave at Gottingen after studying the works of Galois.

In 1858 he became a mathematics teacher at the Polytechnic school in Zurich, later known as ETH Zurich, and taught there for the next five years as a salaried teacher. During this period he derived the concept of the âDedekind Cut or Schnittâ which has become the standard for defining real numbersand describes how rational numbers are divided into two sets by an irrational number.

In September 1859, Dedekind visited Berlin with Riemann when Riemann was elected to the âBerlin Academy of Sciencesâ where he met other famous mathematicians including Borchardt, Kummer, Wierstrass and Kronecker.

He returned to Braunschweig in 1862 and took up the job of teaching mathematics at the Technische Hochschule which had been known as âCollegium Carolinumâtill 1860 and had recently been upgraded.He spent the later part of his career teaching mathematics at this school.

In 1863 he published the lectures given by Dirichlet on the number theory, in the form of a book. His study of the work done by Dirichlet helped him in his studies of the number fields in algebra later.

In 1872 he developed the analysis of irrational numbers and even published a book on his findings.

In 1872 he met Georg Cantor, a fellow mathematician, in the city of Interlaken while holidaying in the Black Forest in Germany. They shared their ideas and agreed to start working together on the set theory which helped Cantor to resolve the disputes he had with Leopold Kronecker who was an opponent of âtransfinite numbersâ suggested by Cantor. Dedekind and Cantor maintained ties with each other for a long time afterwards.

In 1882 he collaborated with Heinrich Martin Weber to put forward an algebraic proof of the âRiemann-Roch Theoremâ.

He came out with the short essay âWas sind und was sollen die Zahlenâ or âWhat are numbers and what should they be?â in 1888 which described what an âinfinite setâ means. In this monograph he suggested that natural numbers had their foundation on axioms, which was verified by Giuseppe Peano who created a set of simpler but equivalent axioms the next year.

Dedekind taught mathematics at the âTechnische Hochschuleâ in Braunschweig till 1894 when he retired from active teaching.

Even after retirement, he kept on writing and publishing various works in the field of mathematics and also took classes occasionally.He published his works on the modular lattices found in algebra in 1900.

## Richard Dedekind Major Works

Richard Dedekind published the book ââ Vorlesungen Ăźber Zahlentheorieâ or âLectures on Number Theoryâ in German in 1863 which contained the lectures given by Dirichlet earlier on the subject. The third and fourth editions of this book were published in 1879 and 1894 respectively in which supplements written by Dedekind introduced a notion of groups for arithmetic and algebra which became fundamental to the ring theory. Though the word âringâ was not originally mentioned by Dedekind, it was included later by Hilbert.

He wrote the book âStetigkeit und Irrationale Zahlenâ or âContinuity and Irrational Numbersâ in 1872 which made him quite famous in the world of mathematics.

In 1882 he published a paper which he had prepared jointly with Heinrich Weber in which he analyzed the âtheory of Riemann surfacesâ which proved the âRiemann-Roch Theoremâ algebraically.

## Richard Dedekind Awards & Achievements

Richard Dedekind was elected to the âGottingen Academyâ in 1862, the âBerlin Academyâ in 1880, and the âAcademy of Romeâ, the âLeopoldino-Carolina Naturae Curiosorum Academiaâ and the âAcademie des Sciencesâ in Paris in 1900.

The âKristiania Universityâ in Oslo, the âZurich University âand the âUniversity of Braunschweigâ awarded him honorary doctorate degrees.

## Richard Dedekind Personal Life & Legacy

Richard Dedekind remained unmarried and lived at Braunschweig with his unmarried sister Julia.

Throughout his life Dedekind enjoyed good health. The only time that he was seriously ill was during the time his father died which was ten years after he had joined the âTechnische Hochschuleâ. He recovered completely from the illness and was never sick again.

He died of natural causes at the age of 84 on February 12, 1916 in his home town Braunschweig, Germany.

## Richard Dedekind Trivia

Richard Dedekind loved to go on holidays to the Black Forests of Germany, the Austrian Tyrol and Switzerland.

## Richard Dedekind biography timelines

- Richard Dedekind was born as Julius Wilhelm Richard Dedekind in Braunschweig, a city in northern Germany on October 6, 1831. He never used the names âJuliusâ and âWilhelmâ when he grew up. He was born, spent the greater part of his life, and ultimately died in Braunschweig, which is sometimes called Brunswick in English.6th Oct 1831
- He did not have any great interest in mathematics while he was studying from 1838 to 1847 at the school named âGymnasium Martino-Catharineumâ in Braunschweig and found the subjects of physics and chemistry illogical and quite boring.1838
- Though physics and chemistry were the main subjects that he had to study, his lack of interest in them made him take up mathematics as the only subject worth studying and turned to algebra, calculus and analytic geometry while studying at the âCollegium Carolinumâin Braunschweig from 1848 to 1850. His years at the âCollegium Carolinumâ provided a solid mathematical base which helped him later.1848 To 1850
- In 1850 he entered the âUniversity of Gottingenâ to study mathematics under MoritzA. Stern, G. Ulrich and Carl Friedrich Gauss. He studied ânumber theoryâ under Stern and elementary mathematics under Gauss as his last student. He completed his doctoral work under Gaussâs supervision within a period of four semesters and received his doctorate degree from this university in 1852, for the thesis âUber die Theorie der Eulerschen Integrateâ or âOn the Theory of Eulerian Integralsâ.1850 To 1852
- As most of the research on mathematical problems was carried out at the âUniversity of Berlinâ and not the âUniversity of Gottingenâ, Dedekind went to Berlin and studied in the university for two years. During that period Bernhard Riemann was his contemporary and both of them received âhabilitationâ in 1854 from the âUniversity of Berlinâ.1854
- Richard Dedekind started his career by serving as a âPrivatdozentâ or âunsalaried lecturerâ at the âUniversity of Gottingenâ and taught geometry and probability there from 1854 to 1858. While there he became good friends with Peter Gustav Lejeune Dirichlet and studied abelian and elliptic functions as he wanted to strengthen the mathematical knowledge he had.1854 To 1858
- When Dirichlet was appointed to fill the chair after Gauss died in 1855, Dedekind found that working under him was extremely useful. He attended the lectures on potential theory, theory of numbers, definite integrals and partial differential equations given by Dirichlet and soon became friends with him. His interest in mathematics got a fresh lease of life after carrying out various discussions with Dirichlet.1855
- In 1856 Dedekind became the first person to give a lecture on âGalois Theoryâ during a course on mathematics that he gave at Gottingen after studying the works of Galois.1856
- In 1858 he became a mathematics teacher at the Polytechnic school in Zurich, later known as ETH Zurich, and taught there for the next five years as a salaried teacher. During this period he derived the concept of the âDedekind Cut or Schnittâ which has become the standard for defining real numbersand describes how rational numbers are divided into two sets by an irrational number.1858
- In September 1859, Dedekind visited Berlin with Riemann when Riemann was elected to the âBerlin Academy of Sciencesâ where he met other famous mathematicians including Borchardt, Kummer, Wierstrass and Kronecker.Sep 1859
- He returned to Braunschweig in 1862 and took up the job of teaching mathematics at the Technische Hochschule which had been known as âCollegium Carolinumâtill 1860 and had recently been upgraded.He spent the later part of his career teaching mathematics at this school.1860 To 1862
- In 1863 he published the lectures given by Dirichlet on the number theory, in the form of a book. His study of the work done by Dirichlet helped him in his studies of the number fields in algebra later.1863
- In 1872 he developed the analysis of irrational numbers and even published a book on his findings.1872
- In 1872 he met Georg Cantor, a fellow mathematician, in the city of Interlaken while holidaying in the Black Forest in Germany. They shared their ideas and agreed to start working together on the set theory which helped Cantor to resolve the disputes he had with Leopold Kronecker who was an opponent of âtransfinite numbersâ suggested by Cantor. Dedekind and Cantor maintained ties with each other for a long time afterwards.1872
- He wrote the book âStetigkeit und Irrationale Zahlenâ or âContinuity and Irrational Numbersâ in 1872 which made him quite famous in the world of mathematics.1872
- In 1882 he collaborated with Heinrich Martin Weber to put forward an algebraic proof of the âRiemann-Roch Theoremâ.1882
- In 1882 he published a paper which he had prepared jointly with Heinrich Weber in which he analyzed the âtheory of Riemann surfacesâ which proved the âRiemann-Roch Theoremâ algebraically.1882
- He came out with the short essay âWas sind und was sollen die Zahlenâ or âWhat are numbers and what should they be?â in 1888 which described what an âinfinite setâ means. In this monograph he suggested that natural numbers had their foundation on axioms, which was verified by Giuseppe Peano who created a set of simpler but equivalent axioms the next year.1888
- Dedekind taught mathematics at the âTechnische Hochschuleâ in Braunschweig till 1894 when he retired from active teaching.1894
- Even after retirement, he kept on writing and publishing various works in the field of mathematics and also took classes occasionally.He published his works on the modular lattices found in algebra in 1900.1900
- He died of natural causes at the age of 84 on February 12, 1916 in his home town Braunschweig, Germany.12th Feb 1916

## Frequently asked questions about Richard Dedekind

#### What is Richard Dedekind birthday?

Richard Dedekind was born at October 6, 1831

#### Where is Richard Dedekind's birth place?

Richard Dedekind was born in Braunschweig, Germany

#### What is Richard Dedekind nationalities?

Richard Dedekind's nationalities is German

#### Who is Richard Dedekind siblings?

Richard Dedekind's siblings is Julia

#### Who is Richard Dedekind's father?

Richard Dedekind's father is Julius Levin Ulrich Dedekind

#### Who is Richard Dedekind's mother?

Richard Dedekind's mother is Caroline Marie Hanriette Emperius

#### What is Richard Dedekind's sun sign?

Richard Dedekind is Libra

#### When was Richard Dedekind died?

Richard Dedekind was died at February 12, 1916

#### Where was Richard Dedekind died?

Richard Dedekind was died in Braunschweig, German Empire

#### Which age was Richard Dedekind died?

Richard Dedekind was died at age 84