Høyrup, Jens
Overview
Works:  205 works in 565 publications in 7 languages and 4,299 library holdings 

Genres:  History Conference papers and proceedings Abstracts 
Roles:  Author, Editor, Other, htt 
Publication Timeline
.
Most widely held works by
Jens Høyrup
Human sciences : reappraising the humanities through history and philosophy by
Jens Høyrup(
)
10 editions published in 2000 in English and held by 1,801 WorldCat member libraries worldwide
After analyzing the humananities from historical and philosophical perspectives, the book presents a general philosophy of science that results from an analysis of the features that are shared by the humanities and the natural and social sciences, and then applies some of these insights to philosophical problems of particular relevance for the humanities, such as moral philosophy and the relation between art and cognition."Jacket
10 editions published in 2000 in English and held by 1,801 WorldCat member libraries worldwide
After analyzing the humananities from historical and philosophical perspectives, the book presents a general philosophy of science that results from an analysis of the features that are shared by the humanities and the natural and social sciences, and then applies some of these insights to philosophical problems of particular relevance for the humanities, such as moral philosophy and the relation between art and cognition."Jacket
Jacopo da Firenze's Tractatus algorismi and early Italian abbacus culture by
Jens Høyrup(
)
23 editions published between 2007 and 2008 in English and held by 524 WorldCat member libraries worldwide
In the city republics of Renaissance Italy, it was a common practice among the merchant class to send sons for a twoyear course of study at an "abbacus school", where they learned practical, mostly commercial mathematics, known as abbaco. From this school institution, several hundred manuscripts survive, all in Italian, often containing not only what the masters needed in their teaching but also algebra or other advanced mathematical material. A signal feature of the book by Jens Høyrup is the first translation of one of these abbacus manuscripts into English. The abbacus books have long been supposed to be reduced versions of Leonardo Fibonacci's Liber abbaci. Analysis of early abbacus books, not least of the first specimen treating of algebra  Jacopo da Firenze's Tractatus algorismi from 1307  shows instead that abbacus mathematics was an exponentof a more widespread culture of commercial mathematics, already known by Fibonacci, and probably flourishing in Provence and/or Catalonia before it reached Italy. Abbacus algebra  eventually the main inspiration for the algebraic breakthrough of the 16th and 17th centuries  was inspired from a Romancespeaking region outside Italy, most likely located in the ProvençalCatalan area, and ultimately from a similar practitioners' level of Arabic mathematics. The book contains, along with the English translation, an edition of Jacopo's Tractatus and a commentary analyzing Jacopo's mathematics and its links to Provençal, Catalan, Arabic, Indian and Latin medieval mathematics. It will provide historians of mathematics and mathematics teachers with a new perspective on a period and on processes which eventually reshaped the whole mathematical enterprise in the 17th century
23 editions published between 2007 and 2008 in English and held by 524 WorldCat member libraries worldwide
In the city republics of Renaissance Italy, it was a common practice among the merchant class to send sons for a twoyear course of study at an "abbacus school", where they learned practical, mostly commercial mathematics, known as abbaco. From this school institution, several hundred manuscripts survive, all in Italian, often containing not only what the masters needed in their teaching but also algebra or other advanced mathematical material. A signal feature of the book by Jens Høyrup is the first translation of one of these abbacus manuscripts into English. The abbacus books have long been supposed to be reduced versions of Leonardo Fibonacci's Liber abbaci. Analysis of early abbacus books, not least of the first specimen treating of algebra  Jacopo da Firenze's Tractatus algorismi from 1307  shows instead that abbacus mathematics was an exponentof a more widespread culture of commercial mathematics, already known by Fibonacci, and probably flourishing in Provence and/or Catalonia before it reached Italy. Abbacus algebra  eventually the main inspiration for the algebraic breakthrough of the 16th and 17th centuries  was inspired from a Romancespeaking region outside Italy, most likely located in the ProvençalCatalan area, and ultimately from a similar practitioners' level of Arabic mathematics. The book contains, along with the English translation, an edition of Jacopo's Tractatus and a commentary analyzing Jacopo's mathematics and its links to Provençal, Catalan, Arabic, Indian and Latin medieval mathematics. It will provide historians of mathematics and mathematics teachers with a new perspective on a period and on processes which eventually reshaped the whole mathematical enterprise in the 17th century
Lengths, widths, surfaces : a portrait of old Babylonian algebra and its kin by
Jens Hoyrup(
Book
)
21 editions published between 1999 and 2011 in English and held by 353 WorldCat member libraries worldwide
"The texts show why the procedures are correct, but do not aim at creating theory, nor are their seconddegree "equations" of any practical use. Hoyrup argues that we should focus on the function of the texts within the schools and within Babylonian culture at large. Scribes and their schoolmasters took pride in the particular skills of their craft, and knowing how to solve equations of the second or higher degree allowed them to show off their virtuosity  as much as knowing how to write and speak Sumarian in addition to the Babylonian language of their own times." "The book provides a detailed reading of many tablets and a careful examination of the context in which they were produced."Jacket
21 editions published between 1999 and 2011 in English and held by 353 WorldCat member libraries worldwide
"The texts show why the procedures are correct, but do not aim at creating theory, nor are their seconddegree "equations" of any practical use. Hoyrup argues that we should focus on the function of the texts within the schools and within Babylonian culture at large. Scribes and their schoolmasters took pride in the particular skills of their craft, and knowing how to solve equations of the second or higher degree allowed them to show off their virtuosity  as much as knowing how to write and speak Sumarian in addition to the Babylonian language of their own times." "The book provides a detailed reading of many tablets and a careful examination of the context in which they were produced."Jacket
In measure, number, and weight : studies in mathematics and culture by
Jens Hyrup(
Book
)
9 editions published in 1994 in English and held by 325 WorldCat member libraries worldwide
"Jens Hoyrup, recognized as the leading authority in social studies of premodern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context." "Hoyrup moves from comparing features of SumeroBabylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge."Jacket
9 editions published in 1994 in English and held by 325 WorldCat member libraries worldwide
"Jens Hoyrup, recognized as the leading authority in social studies of premodern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context." "Hoyrup moves from comparing features of SumeroBabylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge."Jacket
Mathematics and war by
Bernhelm BoosBavnbek(
Book
)
12 editions published in 2003 in English and German and held by 273 WorldCat member libraries worldwide
Antologi som beskriver, i hvilken udstrækning det militære system har været den aktive part i forbindelse med udformningen af den moderne matematik og matematikernes karrierer, specielt efter afslutningen af den 2. verdenskrig. Bogen undersøger hvorledes matematisk tænkning, matematiske metoder og matematisk støttet teknologi er ved at ændre karakteren og udførelsen af moderne krigsførelse, samt hvorledes den påvirker såvel offentligheden som det militære etablissement. Ligeledes beskrives de etiske valg, fremragende fysikere som Niels Bohr og matematikeren Alan Turing måtte foretage under krigsforhold, og den behandler spørgsmålet om i hvilken udstrækning generelle, etiske diskussioner kan være retningsgivende for matematikeres arbejde. Sluttelig analyserer bogen den matematiske tænknings rolle i forbindelse med udformningen af internationale love for krig og fred samt matematiske argumenters støtte til løsning af konflikter. Bogen er den første af sin art, og den er baseret på en række indlæg på en konference, som blev afholdt i august 2002 på Blekinge Institute of Technology i Karlskrona i Sverige. I konferencen deltog matematikere, matematikhistorikere, krigshistorikere, militære analytikere og filosoffer fra Danmark, Tyskland, Japan, Norge, Rusland, Sverige, England og USA
12 editions published in 2003 in English and German and held by 273 WorldCat member libraries worldwide
Antologi som beskriver, i hvilken udstrækning det militære system har været den aktive part i forbindelse med udformningen af den moderne matematik og matematikernes karrierer, specielt efter afslutningen af den 2. verdenskrig. Bogen undersøger hvorledes matematisk tænkning, matematiske metoder og matematisk støttet teknologi er ved at ændre karakteren og udførelsen af moderne krigsførelse, samt hvorledes den påvirker såvel offentligheden som det militære etablissement. Ligeledes beskrives de etiske valg, fremragende fysikere som Niels Bohr og matematikeren Alan Turing måtte foretage under krigsforhold, og den behandler spørgsmålet om i hvilken udstrækning generelle, etiske diskussioner kan være retningsgivende for matematikeres arbejde. Sluttelig analyserer bogen den matematiske tænknings rolle i forbindelse med udformningen af internationale love for krig og fred samt matematiske argumenters støtte til løsning af konflikter. Bogen er den første af sin art, og den er baseret på en række indlæg på en konference, som blev afholdt i august 2002 på Blekinge Institute of Technology i Karlskrona i Sverige. I konferencen deltog matematikere, matematikhistorikere, krigshistorikere, militære analytikere og filosoffer fra Danmark, Tyskland, Japan, Norge, Rusland, Sverige, England og USA
L'algèbre au temps de Babylone quand les mathématiques s'écrivaient sur de l'argile by
Jens Høyrup(
Book
)
6 editions published in 2010 in French and held by 72 WorldCat member libraries worldwide
6 editions published in 2010 in French and held by 72 WorldCat member libraries worldwide
Changing views on ancient near eastern mathematics : from a workshop jointly organized by Altorientalisches Seminar, Freie
Universität Berlin, Seminar für Vorderasiatische Altertumskunde, Freie Universität Berlin, Max Planck Institute for Human
Development and Education, Berlin(
Book
)
10 editions published in 2001 in German and English and held by 57 WorldCat member libraries worldwide
10 editions published in 2001 in German and English and held by 57 WorldCat member libraries worldwide
Algebra in cuneiform : introduction to an old Babylonian geometrical technique by
Jens Egede Høyrup(
)
2 editions published in 2017 in English and held by 45 WorldCat member libraries worldwide
2 editions published in 2017 in English and held by 45 WorldCat member libraries worldwide
Babylonian algebra from the viewpoint of geometrical heuristics : an investigation of terminology, methods, and patterns
of thought by
Jens Høyrup(
Book
)
15 editions published between 1984 and 1985 in 3 languages and held by 32 WorldCat member libraries worldwide
15 editions published between 1984 and 1985 in 3 languages and held by 32 WorldCat member libraries worldwide
Studien zum Zusammenhang von Wissenschaft und Bildung by
Jens Høyrup(
Book
)
2 editions published in 1980 in German and held by 28 WorldCat member libraries worldwide
2 editions published in 1980 in German and held by 28 WorldCat member libraries worldwide
Algebra and naive geometry : an investigation of some basic aspects of old Babylonian mathematical thought by
Jens Høyrup(
Book
)
14 editions published between 1984 and 1990 in English and German and held by 26 WorldCat member libraries worldwide
14 editions published between 1984 and 1990 in English and German and held by 26 WorldCat member libraries worldwide
Changing views on ancient near eastern mathematics : from a workshop jointly(
Book
)
3 editions published in 2001 in 3 languages and held by 22 WorldCat member libraries worldwide
3 editions published in 2001 in 3 languages and held by 22 WorldCat member libraries worldwide
Von Mathematik und Krieg : über die Bedeutung von Rüstung und militärischen Anforderungen für die Entwicklung der Mathematik
in Geschichte und Gegenwart by
Bernhelm BoossBavnbek(
Book
)
9 editions published between 1983 and 1984 in 3 languages and held by 20 WorldCat member libraries worldwide
Beskriver den gensidige afhængighed mellem militære behov og de matematiske muligheder
9 editions published between 1983 and 1984 in 3 languages and held by 20 WorldCat member libraries worldwide
Beskriver den gensidige afhængighed mellem militære behov og de matematiske muligheder
As regards the humanities : an approach to their theory through history and philosophy by
Jens Høyrup(
Book
)
12 editions published between 1994 and 1995 in English and German and held by 19 WorldCat member libraries worldwide
12 editions published between 1994 and 1995 in English and German and held by 19 WorldCat member libraries worldwide
Michelanea : humanisme, litteratur og kommunikation : festskrift til Michel Olsen i anledning af hans 60årsdag den 23. april
1994(
Book
)
3 editions published in 1994 in 3 languages and held by 18 WorldCat member libraries worldwide
3 editions published in 1994 in 3 languages and held by 18 WorldCat member libraries worldwide
Noter om Piaget og videnskabsteorien by
Jens Høyrup(
Book
)
11 editions published between 1976 and 1981 in Danish and Undetermined and held by 17 WorldCat member libraries worldwide
11 editions published between 1976 and 1981 in Danish and Undetermined and held by 17 WorldCat member libraries worldwide
Algebra in cuneiform : introduction to an old Babylonian geometrical technique by
Jens Høyrup(
Book
)
4 editions published between 2013 and 2017 in English and held by 16 WorldCat member libraries worldwide
"This textbook analyzes a number of texts in "conformal translation," that is, a translation in which the same Babylonian term is always translated in the same way and, more importantly, in which different terms are always translated differently. Appendixes are provided for readers who are familiar with basic Assyriology but otherwise philological details are avoided. All of these texts are from the second half of the Old Babylonian period, that is, 18001600 BCE. It is indeed during this period that the "algebraic" discipline, and Babylonian mathematics in general, culminates. Even though a few texts from the late period show some similarities with what comes from the Old Babylonian period, they are but remnants. Beyond analyzing texts, the book gives a general characterization of the kind of mathematics involved, and locates it within the context of the Old Babylonian scribe school and its particular culture. Finally, it describes the origin of the discipline and its impact in later mathematics, not least Euclid's geometry and genuine algebra as created in medieval Islam and taken over in European medieval and Renaissance mathematics"Provided by publisher
4 editions published between 2013 and 2017 in English and held by 16 WorldCat member libraries worldwide
"This textbook analyzes a number of texts in "conformal translation," that is, a translation in which the same Babylonian term is always translated in the same way and, more importantly, in which different terms are always translated differently. Appendixes are provided for readers who are familiar with basic Assyriology but otherwise philological details are avoided. All of these texts are from the second half of the Old Babylonian period, that is, 18001600 BCE. It is indeed during this period that the "algebraic" discipline, and Babylonian mathematics in general, culminates. Even though a few texts from the late period show some similarities with what comes from the Old Babylonian period, they are but remnants. Beyond analyzing texts, the book gives a general characterization of the kind of mathematics involved, and locates it within the context of the Old Babylonian scribe school and its particular culture. Finally, it describes the origin of the discipline and its impact in later mathematics, not least Euclid's geometry and genuine algebra as created in medieval Islam and taken over in European medieval and Renaissance mathematics"Provided by publisher
Matematikken i samfundet : elementer af en analyse : historie, undervisning, ideologi by
Else Høyrup(
Book
)
6 editions published in 1973 in Danish and Undetermined and held by 15 WorldCat member libraries worldwide
6 editions published in 1973 in Danish and Undetermined and held by 15 WorldCat member libraries worldwide
Linee larghe : un' ambiguità geometrica dimenticata by
Jens Høyrup(
Book
)
3 editions published in 1995 in Italian and held by 14 WorldCat member libraries worldwide
3 editions published in 1995 in Italian and held by 14 WorldCat member libraries worldwide
Institutions, professions, and ideas : an approach to the theory of the humanities through their history and institutional
settings and their implicit anthropologies by
Jens Høyrup(
Book
)
9 editions published in 1993 in English and held by 13 WorldCat member libraries worldwide
9 editions published in 1993 in English and held by 13 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Booss, Bernhelm 1941 Author Editor Translator
 Damerow, Peter Editor
 Roskilde Universitetscenter Faggruppen for Filosofi og Videnskabsteori
 Chemla, Karine
 MaxPlanckInstitut für Bildungsforschung
 Freie Universität Berlin
 Bekemeier, Bernd
 Jacopo da Firenze Author
 Høyrup, Else Author
 Roskilde Universitetscenter Institut for Uddannelsesforskning, Medieforskning og Videnskabsteori
Useful Links
Associated Subjects
Algebra Cognition in children Geometry Humanism Humanities HumanitiesPhilosophy Italy Knowledge, Theory of Literature Mathematics Mathematics, Ancient Mathematics, Babylonian MathematicsMoral and ethical aspects MathematicsPhilosophy MathematicsSocial aspects MathematicsStudy and teaching Middle East Piaget, Jean, Science Science and civilization Science and the humanities SciencePhilosophy ScienceSocial aspects Social sciences War and mathematics World War (19391945)
Covers
Alternative Names
Høyrup, Jens
Høyrup, Jens 1943
Høyrup, Jens E. 1943
Jens Høyrup dänischer Mathematikhistoriker
Jens Høyrup Danish mathematician and historian of mathematics
Jens Høyrup wiskundige uit Denemarken
ینس هویروپ
Languages