Bos, H. J. M.
Overview
Works:  101 works in 220 publications in 4 languages and 2,074 library holdings 

Genres:  History Conference papers and proceedings Observations Biography Exhibition catalogs Catalogs Terminology Records and correspondence Bibliography‡vExhibition catalogs 
Roles:  Author, Editor, Contributor, Other, Correspondent, Redactor, Recipient, Honoree 
Classifications:  QA21, 510.9 
Publication Timeline
.
Most widely held works by
H. J. M Bos
From the calculus to set theory, 16301910 : an introductory history(
Book
)
19 editions published between 1980 and 2000 in English and Undetermined and held by 584 WorldCat member libraries worldwide
19 editions published between 1980 and 2000 in English and Undetermined and held by 584 WorldCat member libraries worldwide
Social history of nineteenth century mathematics by
Herbert Mehrtens(
Book
)
11 editions published in 1981 in English and held by 466 WorldCat member libraries worldwide
During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f mation of mathematical schools, the changes in the profes onal situation of the mathematician and the general cultural milieu of the mathematical scientist
11 editions published in 1981 in English and held by 466 WorldCat member libraries worldwide
During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f mation of mathematical schools, the changes in the profes onal situation of the mathematician and the general cultural milieu of the mathematical scientist
Redefining geometrical exactness : Descartes' transformation of the early modern concept of construction by
H. J. M Bos(
Book
)
14 editions published between 2001 and 2013 in English and held by 270 WorldCat member libraries worldwide
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness
14 editions published between 2001 and 2013 in English and held by 270 WorldCat member libraries worldwide
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness
Studies on Christiaan Huygens : invited papers from the Symposium on the Life and Work of Christiaan Huygens, Amsterdam, 2225
August 1979 by
H. J. M Bos(
Book
)
19 editions published between 1979 and 1980 in 3 languages and held by 179 WorldCat member libraries worldwide
19 editions published between 1979 and 1980 in 3 languages and held by 179 WorldCat member libraries worldwide
Two decades of mathematics in the Netherlands, 19201940 : a retrospection on the occasion of the bicentennial of the Wiskundig
Genootschap(
Book
)
8 editions published in 1978 in English and held by 45 WorldCat member libraries worldwide
8 editions published in 1978 in English and held by 45 WorldCat member libraries worldwide
Newton and Leibniz by
Margaret E Baron(
Book
)
6 editions published in 1974 in English and held by 39 WorldCat member libraries worldwide
6 editions published in 1974 in English and held by 39 WorldCat member libraries worldwide
Mechanical instruments in the Utrecht University Museum by
Rijksuniversiteit te Utrecht(
Book
)
10 editions published in 1968 in English and Dutch and held by 36 WorldCat member libraries worldwide
10 editions published in 1968 in English and Dutch and held by 36 WorldCat member libraries worldwide
Bibliotheek Descartes by
René Descartes(
Book
)
1 edition published in 2011 in Dutch and held by 26 WorldCat member libraries worldwide
Klassieke wetenschapsfilosofische tekst waarin de Franse wijsgeer (15961650) de grondlijnen van zijn filosofie uittekent, gevolgd door drie bijbehorende natuurfilosofische/wetenschappelijke essays
1 edition published in 2011 in Dutch and held by 26 WorldCat member libraries worldwide
Klassieke wetenschapsfilosofische tekst waarin de Franse wijsgeer (15961650) de grondlijnen van zijn filosofie uittekent, gevolgd door drie bijbehorende natuurfilosofische/wetenschappelijke essays
Verhandeling over het licht by
Christiaan Huygens(
Book
)
3 editions published in 1990 in Dutch and held by 20 WorldCat member libraries worldwide
3 editions published in 1990 in Dutch and held by 20 WorldCat member libraries worldwide
Christiaan Huygens : le temps en question : 350e anniversaire de naissance by
Museum Boerhaave(
Book
)
4 editions published in 1979 in Dutch and French and held by 17 WorldCat member libraries worldwide
4 editions published in 1979 in Dutch and French and held by 17 WorldCat member libraries worldwide
"Een onvermoeide arbeid komt alles te boven" : de Bibliothecae mathematica, paedagogica en biographica van David Bierens de
Haan : catalogus bij een tentoonstelling in de Universiteitsbibliotheek Leiden, 3 juli3 augustus 2003 by
Kasper van Ommen(
Book
)
2 editions published between 2003 and 2006 in Dutch and held by 16 WorldCat member libraries worldwide
2 editions published between 2003 and 2006 in Dutch and held by 16 WorldCat member libraries worldwide
Christiaan Huygens 16291695 : een quaestie van tijd by
Museum Boerhaave(
Book
)
4 editions published in 1979 in Dutch and English and held by 15 WorldCat member libraries worldwide
Naturwissenschaft / Geschichte / Niederlande
4 editions published in 1979 in Dutch and English and held by 15 WorldCat member libraries worldwide
Naturwissenschaft / Geschichte / Niederlande
The correspondence of René Descartes 1643 by
René Descartes(
Book
)
4 editions published in 2003 in English and held by 14 WorldCat member libraries worldwide
4 editions published in 2003 in English and held by 14 WorldCat member libraries worldwide
Differentials, higher order differentials and the derivative in the Leibnizian calculus by
H. J. M Bos(
Book
)
6 editions published between 1973 and 1975 in English and Undetermined and held by 14 WorldCat member libraries worldwide
6 editions published between 1973 and 1975 in English and Undetermined and held by 14 WorldCat member libraries worldwide
Christiaan Huygens' the pendulum clock, or, Geometrical demonstrations concerning the motion of pendula as applied to clocks by
Christiaan Huygens(
Book
)
3 editions published in 1986 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 12 WorldCat member libraries worldwide
The calculus in the eighteenth century by
Open University(
Book
)
1 edition published in 1975 in English and held by 12 WorldCat member libraries worldwide
1 edition published in 1975 in English and held by 12 WorldCat member libraries worldwide
From summetria to symmetry : the making of a revolutionary scientific concept by
Giora Hon(
Book
)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
"The concept of symmetry is inherent to modern science, and its evolution has a complex history that richly exemplifies the dynamics of scientific change. This study is based on primary sources, presented in context: the authors examine closely the trajectory of the concept in the mathematical and scientific disciplines as well as its trajectory in art and architecture. The principal goal is to demonstrate that, despite the variety of usages in many different domains, there is a conceptual unity underlying the invocation of symmetry in the period from antiquity to the 1790s which is distinct from the scientific usages of this term that first emerged in France at the end of the 18th century. The key figure in revolutionizing the concept of symmetry is the mathematician, AdrienMarie Legendre. His achievements in solid geometry (1794) are contrasted with the views of the philosopher, Immanuel Kant, on the directionality of space (1768)."Jacket
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
"The concept of symmetry is inherent to modern science, and its evolution has a complex history that richly exemplifies the dynamics of scientific change. This study is based on primary sources, presented in context: the authors examine closely the trajectory of the concept in the mathematical and scientific disciplines as well as its trajectory in art and architecture. The principal goal is to demonstrate that, despite the variety of usages in many different domains, there is a conceptual unity underlying the invocation of symmetry in the period from antiquity to the 1790s which is distinct from the scientific usages of this term that first emerged in France at the end of the 18th century. The key figure in revolutionizing the concept of symmetry is the mathematician, AdrienMarie Legendre. His achievements in solid geometry (1794) are contrasted with the views of the philosopher, Immanuel Kant, on the directionality of space (1768)."Jacket
Patterns of change : linguistic innovations in the development of classical mathematics by
Ladislav Kvasz(
)
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"This book offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was clone, understood and philosophically interpreted. It argues that there are at least three ways in which the language of mathematics has been changed throughout its history, thus determining the lines of development that mathematics has followed." "The book offers tools of analysis by means of which scholars and students of the history and philosophy of mathematics can attain better understanding of the various changes, which the subject of their study underwent in the course of history. The book brings also important insights for mathematics education connecting growth of language with the development of mathematical thought."Jacket
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"This book offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was clone, understood and philosophically interpreted. It argues that there are at least three ways in which the language of mathematics has been changed throughout its history, thus determining the lines of development that mathematics has followed." "The book offers tools of analysis by means of which scholars and students of the history and philosophy of mathematics can attain better understanding of the various changes, which the subject of their study underwent in the course of history. The book brings also important insights for mathematics education connecting growth of language with the development of mathematical thought."Jacket
The moon that wasn't : the saga of Venus' spurious satellite by
Helge Kragh(
Book
)
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"This book details the history of one of astronomy's many spurious objects, the satellite of Venus. First spotted in 1645, the nonexisting moon was "observed" more than a dozen times until the late eighteenth century. Although few astronomers believed in the existence of such an object after about 1770, it continued to attract attention for at least another century. However, it has largely disappeared from the history of astronomy, and the rich historical sources have never been exploited. The story of the enigmatic satellite in its proper historical context demonstrates that it was much more than a mere curiosity in the annals of astronomy. Frederick II of Prussia was familiar with it, and so were Bonnet, Kant and Voltaire. The painstaking attempts to either prove or disprove its existence led to the development of many new perspectives both practical and philosophical. The satellite of Venus belongs to the same category as other fictitious celestial bodies (such as the planet Vulcan), yet it had its own life and fascinating historical trajectory. By following this trajectory, the history of planetary astronomy is addressed in a novel way."book jacket
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"This book details the history of one of astronomy's many spurious objects, the satellite of Venus. First spotted in 1645, the nonexisting moon was "observed" more than a dozen times until the late eighteenth century. Although few astronomers believed in the existence of such an object after about 1770, it continued to attract attention for at least another century. However, it has largely disappeared from the history of astronomy, and the rich historical sources have never been exploited. The story of the enigmatic satellite in its proper historical context demonstrates that it was much more than a mere curiosity in the annals of astronomy. Frederick II of Prussia was familiar with it, and so were Bonnet, Kant and Voltaire. The painstaking attempts to either prove or disprove its existence led to the development of many new perspectives both practical and philosophical. The satellite of Venus belongs to the same category as other fictitious celestial bodies (such as the planet Vulcan), yet it had its own life and fascinating historical trajectory. By following this trajectory, the history of planetary astronomy is addressed in a novel way."book jacket
The world as a mathematical game : John von Neumann and twentieth century science by
Giorgio Israel(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Galileo and Newton{u2019}s work towards the mathematisation of the physical world; Leibniz{u2019}s universal logical calculus; the Enlightenment{u2019}s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). Von Neumann became a true legend in twentieth century science; but he was also a controversial figure, because of the decisive role he played in determining US military policy and strategic atomic equilibrium {u2013} which he viewed as an application of game theory. The Cold War is over; the age of nuclear physics and big science has been superseded by our age of biotechnology and postacademic science. From the life of John von Neumann emerge important insights to understand the cultural and technological landscape that we have inherited from the past century. This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science. There are hundreds of metaphors for life: Life is a vale of tears, a dream, a joke. In As You Like It, Shakespeare says that life is a stage. What was von Neumann's metaphor? [{u2026}] it was that life is a game. Sensitive to the doubleedged sword of knowledge and the idiocy of mankind, von Neumann's main legacy might be the deepening of the ancient dilemma of Prometheus. (Philip Davis, Siam News, May 30, 2003)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Galileo and Newton{u2019}s work towards the mathematisation of the physical world; Leibniz{u2019}s universal logical calculus; the Enlightenment{u2019}s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). Von Neumann became a true legend in twentieth century science; but he was also a controversial figure, because of the decisive role he played in determining US military policy and strategic atomic equilibrium {u2013} which he viewed as an application of game theory. The Cold War is over; the age of nuclear physics and big science has been superseded by our age of biotechnology and postacademic science. From the life of John von Neumann emerge important insights to understand the cultural and technological landscape that we have inherited from the past century. This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science. There are hundreds of metaphors for life: Life is a vale of tears, a dream, a joke. In As You Like It, Shakespeare says that life is a stage. What was von Neumann's metaphor? [{u2026}] it was that life is a game. Sensitive to the doubleedged sword of knowledge and the idiocy of mankind, von Neumann's main legacy might be the deepening of the ancient dilemma of Prometheus. (Philip Davis, Siam News, May 30, 2003)
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Related Identities
 GrattanGuinness, I. Editor
 Mehrtens, Herbert Author Editor
 Schneider, Ivo 1938 Editor
 PAREX Editor
 Descartes, René 15961650 Author
 Huygens, Christiaan 16291695 Honoree Author
 Open University
 Grootendorst, A. W. Author
 Andersen, K. Other Editor
 Bertin, E. M. J.
Useful Links
Associated Subjects
Aesthetics Architecture Astronomy Calculus Clocks and watches Descartes, René, Differential calculus Geometrical constructions Geometry Humanities Huygens, Christiaan, Light Mathematicians Mathematics Netherlands NetherlandsUtrecht Pendulum Physical instruments Physics Satellites Science SciencePhilosophy Scientists Symmetry United States Venus (Planet) Von Neumann, John,
Alternative Names
Bos, H. J. M.
Bos, H. J. M. 1940
Bos, Hendrik J. M. 1940
Bos, Hendrik Jan Maarten
Bos, Hendrik Jan Maarten 1940
Bos, Henk.
Bos, Henk J.
Bos, Henk, J. M.
Bos, Henk J.M. 1940
Henk Bos
Henk Bos niederländischer Mathematikhistoriker
Henk J. M. Bos Historian of mathematics
هنک بوس
هينك بوس
亨克·J·M·博斯
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