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Bernt Michael Holmboe (23 March 1795 – 28 March 1850) was a Norwegian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. He was home-tutored from an early age, and was not enrolled in school until 1810. Following a short period at the Royal Frederick University, which included a stint as assistant to Christopher Hansteen, Holmboe was hired as a mathematics teacher at the Christiania Cathedral School in 1818, where he met the future renowned mathematician
Niels Henrik Abel Niels Henrik Abel ( , ; 5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields. His most famous single result is the first complete proof demonstrating the impossibility of solvin ...
. Holmboe's lasting impact on
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
worldwide has been said to be his tutoring of Abel, both in school and privately. The two became friends and remained so until Abel's early death. Holmboe moved to the Royal Frederick University in 1826, where he worked until his own death in 1850. Holmboe's significant impact on mathematics in the fledgling Norway was his textbook in two volumes for secondary schools. It was widely used, but faced competition from Christopher Hansteen's alternative offering, sparking what may have been Norway's first debate about school textbooks.


Early life and career

Bernt Michael Holmboe was born in Vang in 1795, the son of
vicar A vicar (; Latin: '' vicarius'') is a representative, deputy or substitute; anyone acting "in the person of" or agent for a superior (compare "vicarious" in the sense of "at second hand"). Linguistically, ''vicar'' is cognate with the English p ...
Jens Holmboe (1746–1823) and his wife Cathrine Holst (1763–1823). He grew up in
Eidsberg Eidsberg was a Municipalities of Norway, municipality in Østfold Counties of Norway, county, Norway. The administrative centre of the municipality was the List of cities in Norway, town of Mysen. In 2020, Eidsberg was absorbed into the Indre Øst ...
with his nine siblings, and was the elder brother of noted philologist Christopher Andreas Holmboe. Holmboe was homeschooled from an early age, but was sent to the Christiania Cathedral School in 1810 to complete his secondary education. There he undertook extracurricular studies in
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
. He enrolled as a student at the Royal Frederick University in 1814, a turbulent year in Norwegian history. Norway had been a province of
Denmark Denmark is a Nordic countries, Nordic country in Northern Europe. It is the metropole and most populous constituent of the Kingdom of Denmark,, . also known as the Danish Realm, a constitutionally unitary state that includes the Autonomous a ...
since 1397, but had come under Swedish control in the January 1814
Treaty of Kiel The Treaty of Kiel () or Peace of Kiel ( Swedish and or ') was concluded between the United Kingdom of Great Britain and Ireland and the Kingdom of Sweden on one side and the Kingdoms of Denmark and Norway on the other side on 14 January 1814 ...
. Following Norway's declaration of independence in the Constitution of 17 May, Sweden responded by waging a military campaign against Norway during the summer of 1814. Holmboe was a spokesperson for the student group opposed to the presence of Swedish troops in the country. Any outspokenness from the student community was highly visible at the time, as the university had only seventeen students as of 1813, its year of establishment. As well as his private studies, Holmboe attended lectures given by Søren Rasmusen. In 1815 he was appointed to the position of scientific assistant under Christopher Hansteen, a lecturer at the university, and delivered some lectures himself. In early 1818, Holmboe became a mathematics teacher at the Christiania Cathedral School, a position that had become vacant in 1817. The school principal, Jacob Rosted, had invited Holmboe's brother, Christopher Andreas, who had also studied mathematics, to take up the position, but he had decided instead to concentrate on philology; Christopher went on to research the
Sanskrit language Sanskrit (; stem form ; nominal singular , ,) is a classical language belonging to the Indo-Aryan languages, Indo-Aryan branch of the Indo-European languages. It arose in northwest South Asia after its predecessor languages had Trans-cultural ...
among others. In his teaching, Holmboe drew inspiration from
Joseph-Louis Lagrange Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaNiels Henrik Abel Niels Henrik Abel ( , ; 5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields. His most famous single result is the first complete proof demonstrating the impossibility of solvin ...
, then a pupil there. Holmboe quickly discovered Abel's talent, and proclaimed him as a "splendid genius" in his
report card A report card, or just report in British English – sometimes called a progress report or achievement report – communicates a student's performance academically. In most places, the report card is issued by the school to the student or the st ...
.Quote: In English: "A splendid mathematical genius." (remark written by Holmboe) The school's primary focus was on classical education and
Latin Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...
, and so Holmboe tutored Abel privately. His personal support for Abel has been called " olmboe'smost important contribution to mathematics".Quote: In English: "... the way Holmboe supported and helped Abel should be considered his most important contribution to mathematics." (statement of the article writer) Holmboe and Abel became close friends. Two of Holmboe's younger brothers studied with Abel, and the three were also on friendly terms. Abel was invited to the Holmboe family residence in Eidsberg on several occasions, including to celebrate Christmas. Abel died from
tuberculosis Tuberculosis (TB), also known colloquially as the "white death", or historically as consumption, is a contagious disease usually caused by ''Mycobacterium tuberculosis'' (MTB) bacteria. Tuberculosis generally affects the lungs, but it can al ...
in 1829, at the age of twenty-six. Ten years after Abel's death Holmboe edited and published his complete works in two volumes—''Oeuvres complètes de N.H. Abel'' ('Complete Works of N.H. Abel'). He was the first to do so.


Later life and career

Holmboe published his first textbook in mathematics in 1825. The 274-page book was named ''Lærebog i Mathematiken. Første Deel'' (''Textbook in Mathematics. Part One''). In 1827 he followed with the second volume, ''Lærebog i Mathematiken. Anden Deel'' (''Textbook in Mathematics. Part Two''), consisting of a further 155 pages. He used his own teaching experience as the background for his writing; mainly abstract, the purpose of the books was to instill
logical Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arg ...
thinking. For instance, in the field
geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
, it enticed readers to envisage a figure instead of putting it to paper. The books became widely used, and were reprinted in four and five volumes respectively. In 1826, Holmboe was appointed a lecturer at the Royal Frederick University. Some claimed that he owed his appointment to Abel's absence, as the latter was travelling around in Europe at that time. Holmboe also taught mathematics at a military college, from 1826 until his death, and was promoted to professor at the Royal Frederick University in 1834. His later publications include ''Stereometrie'' (''Stereometry'') (1833), ''Plan- og sfærisk Trigonometrie'' (''Plan and Spherical Trigonometry'') (1834), and ''Lærebog i den høiere Mathematik'' (''Textbook of Advanced Mathematics'') (1849). Holmboe was an influence on other mathematicians as well as Abel, including Ole Jacob Broch (born 1818). At the university, Holmboe again met Christopher Hansteen, who had become a professor there in 1816. In 1835, Hansteen published his own mathematics textbook for secondary schools. A reaction to Holmboe's books and method of teaching, it was more practically oriented. Holmboe wrote a review of the book for the newspaper ''
Morgenbladet is Norway's oldest daily newspaper, covering politics, culture and science, now a weekly news magazine primarily directed at well-educated readers. The magazine is notable for its opinion section featuring contributions exclusively from Norweg ...
'', in which he advised schools not to use it. A public debate followed, with contributions from other mathematicians. It has been claimed that this was the first debate on the subject of school textbooks in Norway. Hansteen's textbook was not reprinted. Holmboe also became involved in the field of
insurance Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to protect ...
. From 1832 to 1848 he was a member of ''Tilsynskomiteen for private forsørgelses- og understøttelsesselskaper'', the country's first public committee for the supervision of insurance companies. On the other side of the table, from 1847 Holmboe was a member of the
board of directors A board of directors is a governing body that supervises the activities of a business, a nonprofit organization, or a government agency. The powers, duties, and responsibilities of a board of directors are determined by government regulatio ...
of the insurance company Gjensidige, founded by his former student Ole Jacob Broch.


Legacy

A Bernt Michael Holmboe Memorial Prize for teachers of mathematics was established in 2005, and is awarded annually. The prize money,
NOK Nok is a village in Jaba, Nigeria, Jaba Local Government Area of Kaduna State, Nigeria. The village is an archeological site. Archaeology The discovery of terracotta figurines at this location caused its name to be used for the Nok culture, ...
50,000, are provided by the Abel Foundation, which awards the Abel Prize. The prize is administered by the board of the
Norwegian Mathematical Society The Norwegian Mathematical Society (, NMF) is a professional society for mathematicians. It was formed in 1918, with Carl Størmer elected as its first president. It organizes mathematical contests and the annual Abel symposium and also awards th ...
. The current board chairman is Tom Lindstrøm, professor at the University of Oslo. A street at
Majorstuen Majorstuen or Majorstua is a particularly affluent neighbourhood in the Frogner borough in the inner part of Oslo, Norway. Majorstuen is known for its vibrant downtown and especially its shopping area. The area has several elegant townhouses c. 1 ...
in Oslo, ''Holmboes gate'', has been named after Bernt Michael Holmboe. Before 1879 it was named ''Hansteens gate'', after Christopher Hansteen.


Personal life

Holmboe married twice. He died in 1850.


References and notes


Notes


References


Further reading

* . See particularly Chapter 4. {{DEFAULTSORT:Holmboe, Bernt Michael 1795 births 1850 deaths Norwegian mathematicians Academic staff of the University of Oslo Members of the Royal Swedish Academy of Sciences People from Østfold People from Eidsberg People educated at Oslo Cathedral School Niels Henrik Abel Bernt Michael Norwegian mathematics educators