21. Bohr_Harald Biography of harald bohr (18871951) harald bohr worked on Dirichlet series,and applied analysis to the theory of numbers. He collaborated with Edmund http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bohr_Harald.html

Harald August Bohr Born: 22 April 1887 in Copenhagen, Denmark Died: 22 Jan 1951 in Copenhagen, Denmark Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Harald Bohr was a younger brother of Niels Bohr . Their father, Christian Bohr, was professor of physiology at the University of Copenhagen. Christian Bohr was famous for his work on the physical and chemical aspects of respiration. Harald and Niels Bohr 's mother, Ellen Adler Bohr, came from a wealthy Jewish family with family members who were important in banking and in politics in Denmark. Harald studied mathematics at the University of Copenhagen. He entered the University in 1904 and quickly became a well known Danish personality, not for his mathematics but rather for his soccer skills. He was in the Danish soccer team which was placed second in the 1908 Olympic games in London. When his doctoral dissertation was examined at the University of Copenhagen, there were more soccer fans wishing to attend this public examination than there were mathematicians! Mathematics soon became more important to Bohr than soccer and he became professor of mathematics in the Polytechnic Institute in Copenhagen in 1915. Then, in 1930, he was appointed professor of mathematics at the University of Copenhagen. Although he never quite attained the fame of his brother Niels (except as a soccer player!), he did produce some mathematics of the very highest importance. It is perhaps surprising that Harald and Niels did not collaborate more frequently. They only published one joint paper.

22. The Theseus Homepage Of Harald Bohr Archival material, bibliography and references. http://www.math.ku.dk/ths/bohr_h/

23. Bohr_Niels Biography of Niels bohr (18851962) with both brothers Niels and harald bohrtaking part as soon as they were old enough to contribute. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bohr_Niels.html

Niels Henrik David Bohr Born: 7 Oct 1885 in Copenhagen, Denmark Died: 18 Nov 1962 in Copenhagen, Denmark Click the picture above to see eleven larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Niels Bohr 's father was Christian Bohr and his mother was Ellen Adler. Christian Bohr was awarded a doctorate in physiology from the University of Copenhagen in 1880 and in 1881 he became a Privatdozent at the university. Late in the same year he married Ellen, who was the daughter of David Adler, a Jewish politician with a high standing in Danish political and commercial life. Christian and Ellen had three children. The eldest was Jenny born in 1883 in the mansion which David Adler had owned opposite Christiansborg Castle where the Danish Parliament sat. Ellen's mother had continued to live in this house after her husband David Adler died in 1878 and Ellen had gone back to her mother's home to have her child. Two years later Niels was born on his mother's 25 th birthday in the same stately home, Ellen again having returned to her mother's house for the birth of her child. The third child of the family, who went on to become a famous mathematician, was

24. Bohr_Harald Short biographical article. http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Bohr_Harald.html

Harald August Bohr Born: 22 April 1887 in Copenhagen, Denmark Died: 22 Jan 1951 in Copenhagen, Denmark Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Harald Bohr was a younger brother of Niels Bohr . Their father, Christian Bohr, was professor of physiology at the University of Copenhagen. Christian Bohr was famous for his work on the physical and chemical aspects of respiration. Harald and Niels Bohr 's mother, Ellen Adler Bohr, came from a wealthy Jewish family with family members who were important in banking and in politics in Denmark. Harald studied mathematics at the University of Copenhagen. He entered the University in 1904 and quickly became a well known Danish personality, not for his mathematics but rather for his soccer skills. He was in the Danish soccer team which was placed second in the 1908 Olympic games in London. When his doctoral dissertation was examined at the University of Copenhagen, there were more soccer fans wishing to attend this public examination than there were mathematicians! Mathematics soon became more important to Bohr than soccer and he became professor of mathematics in the Polytechnic Institute in Copenhagen in 1915. Then, in 1930, he was appointed professor of mathematics at the University of Copenhagen. Although he never quite attained the fame of his brother Niels (except as a soccer player!), he did produce some mathematics of the very highest importance. It is perhaps surprising that Harald and Niels did not collaborate more frequently. They only published one joint paper.

25. Bohr, Harald August --  Encyclopædia Britannica bohr, harald August Danish mathematician who devised a theory that concernedgeneralizations of functions with periodic properties, the theory of almost http://www.britannica.com/eb/article?tocId=9080431

26. Harald Bohr Papers Detailed description of archive, and short biography. http://www.math.ku.dk/arkivet/hbohr/hbpapers.htm

THE ARCHIVE INSTITUTE FOR MATHEMATICAL SCIENCES THE UNIVERSITY OF COPENHAGEN The homepage of the archive List of collections Harald Bohr Papers General description of the collection A short biography of Bohr Survey of the parts of the collection Table of content of the boxes ... Details about the content in some of the folders General description of the collection A short description: This collection consist of manuscripts, notes, correspondence, obituaries, newspaper articles etc. Regarding the size the educational material and the material from the publication in 1952-53 of Bohr's Collected Mathematical Works is the largest. The educational material consists a major part of his manuscripts for lectures and his copies of mathematical textbooks with his comments. Virtual all the material from the publication of the Collected Mathematical Works has been conserved, i.e. the organisational plan of the works, correspondence with the publisher, editors etc. The biographical material in the collection is reprints of most of the obituaries of Bohr, press clippings about Bohr, some photos of him and other personal papers. The correspondence is only scientific correspondence, but only a small fraction of Bohr's total scientific correspondence. The scientific manuscripts and notes are almost all from Bohr's years of study 1904-10. There is furthermore a collection of speeches given by Bohr at various occasions. In its entirety the material is from the period 1904-65 and in one of the languages: Danish, German, English or French, with the major part in Danish.

27. Bohr, Niels (1885-1962) -- From Eric Weisstein's World Of Scientific Biography bohr (Aage), bohr (Christian), bohr (harald). Additional biographies MacTutor (St . Niels bohr His Life and Work as Seen by His Friends and Colleagues. http://scienceworld.wolfram.com/biography/BohrNiels.html

Branch of Science Physicists Nationality Danish ... Scientific Families Bohr, Niels (1885-1962) Danish physicist who proposed a successful quantum model of the atom in 1913. His model assumed that (1) the electron exists at precise distances from the nucleus, (2) as long as an electron remains in one location, no energy is given off, (3) electrons have circular orbits (this is only correct for s orbitals), and (4) the angular momenta associated with allowed electron motion are integral multiples of . Bohr stated the Correspondence Principle, which states that quantum mechanical formulas must reduce to the classical results in the limit of large quantum number. He also advocated a probabilistic interpretation of quantum mechanics known as the Copenhagen interpretation Bohr (Aage) Bohr (Christian) Bohr (Harald) Additional biographies: MacTutor (St. Andrews) References Blaedel, N. Harmony and Unity: The Life of Niels Bohr. Madison, WI: Science Tech, 1988. Murdoch, D. Niels Bohr's Philosophy of Physics. New York: Cambridge University Press, 1987. Pais, A.

28. Secondary Literature About Harald Bohr The harald bohr Centenary Proceedings of a Symposium held in Copenhagen April2425, 1987. Jessen, Børge harald bohr 22 april 1887 - 22 january 1951. http://www.math.ku.dk/ths/bohr_h/seclit.htm

Secondary literature about Harald Bohr General secondary literature Obituaries Obituaries in non-Danish journals (8) Obituaries in Danish journals (9) Obituaries in newspapers (9) Encyclopedia articles Articles on the World Wide Web General secondary literature about Bohr The most complete work about Bohr and his works is the dissertation by Ramskov (item 1 below), which touches upon most aspects. The many obituaries which exist cover Bohr's life and work from the viewpoint of different persons. The rest of 13 secondary works below touches different aspects of Bohr's works, his importance at the University of Copenhagen, his relationship to the brother Niels Bohr and his football career. Ramskov, Kurt: Matematikeren Harald Bohr [The mathematician Harald Bohr]. Ph.D. dissertation, Institut for de eksakte videnskabers historie, Aarhus Universitet 1995. 451 pp. Ph.D. dissertation in Danish. It is a biography of Bohr which touches upon all aspects of Bohr's life: his mathematical work, his pedagogical importance, his career, as head of the mathematics institute, his help to German mathematical refugees in the 1930s, his fight against "Deutsche Mathematik", his many international contacts and colleagues, his family etc. A detailed discussion is given of his mathematical works before 1932, which include the most important of his works. Jessen, Børge:

29. Bibliography Of Harald Bohr bohr, harald Una generalizzazione della teoria delle serie di Fourier. Ein offerener Brief an Herrn harald bohr in København. The art of quoting. http://www.math.ku.dk/ths/bohr_h/biblio.htm

Bibliography of Harald Bohr Bohr's papers are published in one of the languages: German, English, Danish, French and Italian. Except for one monograph all his scientific publications were articles (140 in total). The exception is the monograph: Fastperiodische Funktionen , Springer-Verlag, Berlin 1932. The bibliography in the Collected Works Bohr's publications divided into subjects Publications not included in the bibliography of the ... List of Bohr's collaborators The bibliography in the Collected Works An almost complete list of Bohr's publications alone or in collaboration with others is in the end of volume III of the Collected Works . Not included in this list are four small article in Italian, a solution to a problem, his autobiography written in connection with his doctoral defense and a newspaper article. These publications are listed below. Bohr's publications divided into subjects Bohr's publications are divided into subjects A through H in the Collected Works . Below is given a list with the number of publications in each of these subjects and some further subjects for the publications not included in the Collected Works . The list includes the number of work which has been reprinted and where this has been done. Subject Number of publications Reprinted in (number which is reprinted there) A. Dirichlet series

30. Bohr, Harald August. 1887-1951 harald bohr s outstanding contribution to mathematics was his conception of almostperiodic functions, which he defined and and studied in three great http://www.nbi.dk/NBA/icos/hbcorr.html

Harald Bohr Correspondence. 1906-1950 Bohr, Harald August. 1887-1951 Harald Bohr Correspondence. 1906-1950 BIOGRAPHICAL NOTE: Studied at Copenhagen Univ. Magister 1909. Studied in Göttingen under Edmund Landau and in Oxford and Cambridge. Dr. phil. Copenhagen 1910, thesis on Dirichlet series. Prof. Polytechnical School, Copenhagen, 1915. Prof. Copenhagen U. and director of new Mathematical Institute on Blegdamsvej, 1930. Harald Bohr's outstanding contribution to mathematics was his conception of almost periodic functions, which he defined and and studied in three great papers published in Acta mathematica in 1924-1926, and which formed the brilliant conclusion of his prolonged investigation of the Dirichlet series and the functions represented by such series. DESCRIPTION OF COLLECTION: Small collection of the letters of Niels Bohr's mathematician brother, the major part consisting of correspondence between the two brothers. Other correspondents include H's parents and sister. Wide range of topics, including scientific, political and family matters. 3 boxes. Chronological. Danish, English. Restricted access.

31. Copies Of Papers From Elsewhere Not Directly Related To Niels Bohr, 1920- 1) bohr, harald Erich Hecke correspondence. 1920-1937. Gift from Hans W.Praetorius 2) bohr, harald - Richard Courant correspondence. http://www.nbi.dk/NBA/icos/botharc.html

Copies of papers from elsewhere not directly related to Niels Bohr, 1920- DESCRIPTION OF COLLECTION: Photocopies of various items of material considered of special relevance to researchers at NBA, received more or less arbitrarily. Includes: 1) Bohr, Harald - Erich Hecke correspondence. 1920-1937. Gift from Hans W. Praetorius 2) Bohr, Harald - Richard Courant correspondence. 1930-1933, 1937 (Copied from originals in Courants old house in New Rochelle. Copies provided by Courant's son, Ernest in 1983); 1945-1952 (Copied from originals in Courant's files in the Courant Inst. of NYU). Material deposited by Asger Aaboe 3) Franck, James - Hilde Levi correspondence. 1935-1961. Copies of originals donated by Hilde Levi to Univ. of Chicago 4) Heisenberg, Werner to Hendrik Anton Kramers. 1947 (Source unknown) 5) Hulthen, Lamek - Wolfgang Pauli correspondence. 1943-1947 (Gift from Hulthen) 6) Klein, Oskar - Yoshio Nishina correspondence. 1928-1929. Memoir (OK) 1975. Copies from Nishina Memorial Foundation 7) Oppenheimer, Robert to G. Uhlenbeck. 1926-1934 (Source unknown)

32. AIP International Catalog Of Sources harald bohr s outstanding contribution to mathematics was his conception of almostperiodic functions, which he defined and studied in three great papers http://www.aip.org/history/catalog/5337.html

If you are not immediately redirected, please click here My List - Help Browse Archival Resources Archival Finding Aids Books Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Bohr, Harald, 1887-1951. Subjects Bohr, Niels Henrik David, 1885-1962. Politics. Science. Browse Catalog by author: Bohr, Harald, 1887-1951. by title: Harald Bohr correspo... MARC Display Harald Bohr correspondence, 1906-1951. by Bohr, Harald, 1887-1951. Description: 3 boxes. Owning Repository: Niels Bohr Archive. Copenhagen, Denmark Country of Repository: Denmark Biography/History: Scope of Material: Small collection of the letters of Niels Bohr's mathematician brother, the major part consisting of correspondence between brothers. Other correspondents include Harald's parents and sister. Wide range of topics, including scientific, political and family matters. Provenance: Margrethe Bohr. Deed of gift, 1984. Access Restrictions: Restricted: contact repository for information.

33. AIP International Catalog Of Sources Correspondents include Aage Bertelsen, harald bohr, Max Born, KM Carstens, JAChristiansen, SJ Dyksterhuis, Louis Hjelmslev, Egil Hylleraas, Sigurd Højby, http://www.aip.org/history/catalog/5333.html

If you are not immediately redirected, please click here My List - Help Browse Archival Resources Archival Finding Aids Books Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Pihl, Mogens, 1907-1986. Subjects Bohr, Harald, 1887-1951. Born, Max, 1882-1970. Kramers, Hendrik Anthony, 1894-1952. Neugebauer, O. (Otto), 1899- Danish Biographical Encyclopedia. Browse Catalog by author: Pihl, Mogens, 1907-1986. by title: Mogens Pihl Papers, ... MARC Display Mogens Pihl Papers, 1939-1983. by Pihl, Mogens, 1907-1986. Description: 16 boxes. Owning Repository: Niels Bohr Archive. Copenhagen, Denmark Country of Repository: Denmark Biography/History: Scope of Material: Provenance: Gift from Mrs. Hjordis Pihl. Access Restrictions: Restricted: contact repository for information. Arrangement of Records: Correspondence arranged alphabetically. Notes: In Danish and English. Gift from Mrs. Hjordis Pihl. Finding Aid: List of contents.

34. Niels Bohr Niels s younger brother, harald, became a brilliant mathematician. bohr distinguishedhimself at the University of Copenhagen, winning a gold medal from the http://www.crystalinks.com/bohr.html

Niels Bohr Niels Bohr - born Oct. 7, 1885, Copenhagen, Den. d. Nov. 18, 1962, Copenhagen. He was a physicist who was the first to apply the quantum theory, which restricts the energy of a system to certain discrete values, to the problem of atomic and molecular structure. For this work he received the Nobel Prize for Physics in 1922. He developed the so-called 'Bohr theory of the atom and liquid model of the atomic nucleus.' Early life Bohr's father, Christian Bohr, professor of physiology at the University of Copenhagen, was known for his work on the physical and chemical aspects of respiration. His mother, Ellen Adler Bohr, came from a wealthy Jewish family prominent in Danish banking and parliamentary circles. Bohr's scientific interests and abilities were evident early, and they were encouraged and fostered in a warm, intellectual family atmosphere. Niels's younger brother, Harald, became a brilliant mathematician. Bohr distinguished himself at the University of Copenhagen, winning a gold medal from the Royal Danish Academy of Sciences and Letters for his theoretical analysis of and precise experiments on the vibrations of water jets as a way of determining surface tension. In 1911 he received his doctorate for a thesis on the electron theory of metals that stressed the inadequacies of classical physics for treating the behaviour of matter at the atomic level. He then went to England, intending to continue this work with Sir J.J. Thomson at Cambridge. Thomson never showed much interest in Bohr's ideas on electrons in metals, however, although he had worked on this subject in earlier years. Bohr moved to Manchester in March 1912 and joined Ernest Rutherford's group studying the structure of the atom.

35. Bohr, Harald Harald August Bohr The Younger Brother Of Nils Bohr The younger brother of Nils bohr, harald was the son of a Jewish mother and aChristian father. He studied mathematics at the University of Copenhagen, http://www.jewsinsports.org/profile.asp?sport=soccer&ID=2

36. Bohr, Harald Harald August Bohr Sport Soccer Country Represented bohr, harald harald August bohr Sport soccer Country Represented Denmark YearsCompeted 1908 Medals Received silver Olympic Info http://www.jewsinsports.org/olympics.asp?sport=olympics&ID=401

37. Niels Bohr - Wikipedia, The Free Encyclopedia His brother was harald bohr, a mathematician and Olympic soccer player. In 1916, Niels bohr became a professor at the University of Copenhagen, http://en.wikipedia.org/wiki/Niels_Bohr

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over $125,000 has been donated since the drive began on 19 August. Thank you for your generosity! Niels Bohr From Wikipedia, the free encyclopedia. Niels Bohr Niels Henrik David Bohr October 7 November 18 ) was a Danish physicist who made essential contributions to understanding atomic structure and quantum mechanics Contents Bohr's contributions to physics Biography Early years Middle years ... edit Bohr's contributions to physics Bohr's model of atomic structure. The electron's orbital angular momentum is quantized; L=nħ. The theory that electrons travel in discrete orbits around the atom's nucleus , with the chemical properties of the element being largely determined by the number of electrons in the outer orbits. The idea that an electron could drop from a higher-energy orbit to a lower one, emitting a photon (light quantum ) of discrete energy (this became the basis for quantum theory The Copenhagen interpretation of quantum mechanics The principle of complementarity : that items could be separately analyzed as having several contradictory properties.

38. SparkNotes: Niels Bohr: Bohr's Youth His father, Professor Christian bohr, was an internationally renowned physiologistwho harald, born just eighteen months after Niels, became Niels s http://www.sparknotes.com/biography/bohr/section1.html

saveBookmark("", "", ""); Home Biography Study Guides Niels Bohr : Bohr's Youth - Navigate Here - Context Summary Important Terms and People Bohr's Youth Studies at Copenhagen To Manchester with Rutherford War and Manchester The Institute and the Nobel Prize Bohr as Mentor War and Personal Tragedy Splitting the Atom The Bomb Final Years Review Test References Bohr's Youth Niels Henrik David Bohr was born on October 7, 1885, in a large Copenhagen house that belonged to his maternal grandmother. His father, Professor Christian Bohr, was an internationally renowned physiologist who held a medical degree but never practiced as a doctor. His mother, Ellen Adler , was the daughter of a prominent banker and politician. The parents held progressive views and raised their children with an emphasis on such values as generosity and openness. Christian and Ellen also endeavored to create an effective intellectual atmosphere for their family, which also included older sister Jenny and younger brother Harald , by encouraging independent development. Harald, born just eighteen months after Niels, became Niels's inseparable companion. Many anecdotes tell of their devotion to each other. Once, when Niels was heard calling all over for his brother, an older cousin finally asked what he needed. Niels replied that he had been given a bun and wanted to share it with Harald. Both boys showed great intellectual promise, but Harald was regarded as the brighter of the two. Armed with a sharp wit, he used to tease Niels, who neither defended himself nor protested. Harald, however, along with his father, recognized Niels as "the special one of the family." Christian was careful to allow both to follow their own paths, and Harald went on to become a distinguished mathematician, receiving his doctorate two years earlier than Niels.

39. Niels Henrik David Bohr famous mathematician, was harald bohr who was two years younger than Niels . Niels, harald, and their older sister, Jenny, grew up in a cultured and http://www.jewishvirtuallibrary.org/jsource/biography/Bohr.html

Niels Henrik David Bohr By J J O'Connor and E F Robertson When Niels was only a few months old his father Christian had been appointed as a lecturer to fill a post left vacant by the death of Peter Panum, the professor of physiology at the University of Copenhagen, and a short while later the family moved into the Panum's professorial house in Copenhagen. Kennedy writes in [4]:- Niels, Harald, and their older sister, Jenny, grew up in a cultured and stimulating home. from their earliest days they were exposed to a world of ideas and discussion, of conflicting views rationally and good-temperedly examined, and they developed a respect for all who seek deeper knowledge and understanding. In October 1891 Niels entered the Grammelholms school. He attended this school, as did his brother Harald, for his complete secondary education taking his Studenterexamen in 1903. He did well at school without ever being brilliant, usually coming third or fourth in a class of about 20 students. If he really excelled at a subject it was, perhaps surprisingly, physical education. He was an excellent soccer player, yet not as good as his brother Harald who won a silver medal playing soccer for Denmark. Niels made some good friends while at school but his best friend throughout his life was his brother Harald.

40. Bohr, Niels Henrik David. The Columbia Encyclopedia, Sixth Edition. 2001-05 His brother, harald August bohr, 1887–1951, a mathematician, taught (1915–30) atthe College of Technology in Copenhagen and in 1930 became professor at the http://www.bartleby.com/65/bo/Bohr-Nie.html

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