Bos, H. J. M.
Overview
Works:  96 works in 186 publications in 4 languages and 2,288 library holdings 

Genres:  History Conference proceedings Terminology Biography Observations Catalogs Records and correspondence Bibliography‡vExhibition catalogs Exhibition catalogs 
Roles:  Author, Editor, Correspondent, Recipient, Redactor, Honoree 
Classifications:  QA21, 523.982 
Publication Timeline
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Most widely held works by
H. J. M Bos
From the calculus to set theory, 16301910 : an introductory history(
Book
)
15 editions published between 1980 and 2000 in English and held by 561 WorldCat member libraries worldwide
15 editions published between 1980 and 2000 in English and held by 561 WorldCat member libraries worldwide
Social history of nineteenth century mathematics by
Herbert Mehrtens(
Book
)
9 editions published in 1981 in English and held by 458 WorldCat member libraries worldwide
9 editions published in 1981 in English and held by 458 WorldCat member libraries worldwide
Lectures in the history of mathematics by
H. J. M Bos(
Book
)
15 editions published between 1991 and 1997 in English and held by 416 WorldCat member libraries worldwide
15 editions published between 1991 and 1997 in English and held by 416 WorldCat member libraries worldwide
Redefining geometrical exactness : Descartes' transformation of the early modern concept of construction by
H. J. M Bos(
Book
)
9 editions published between 2001 and 2013 in English and held by 276 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
9 editions published between 2001 and 2013 in English and held by 276 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 Symposium on the Life and Work of Christiaan Huygens(
Book
)
9 editions published in 1980 in English and German and held by 156 WorldCat member libraries worldwide
9 editions published in 1980 in English and German and held by 156 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
)
5 editions published in 1978 in English and held by 41 WorldCat member libraries worldwide
5 editions published in 1978 in English and held by 41 WorldCat member libraries worldwide
Newton and Leibniz by
Margaret E Baron(
Book
)
5 editions published in 1974 in English and German and held by 37 WorldCat member libraries worldwide
5 editions published in 1974 in English and German and held by 37 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
Mechanical instruments in the Utrecht University Museum by
Rijksuniversiteit te Utrecht(
Book
)
5 editions published in 1968 in English and Undetermined and held by 26 WorldCat member libraries worldwide
5 editions published in 1968 in English and Undetermined and held by 26 WorldCat member libraries worldwide
The calculus in the eighteenth century by
H. J. M Bos(
Book
)
6 editions published in 1975 in English and held by 19 WorldCat member libraries worldwide
6 editions published in 1975 in English and held by 19 WorldCat member libraries worldwide
Verhandeling over het licht by Christiaan Huygens(
Book
)
1 edition published in 1990 in Dutch and held by 18 WorldCat member libraries worldwide
1 edition published in 1990 in Dutch and held by 18 WorldCat member libraries worldwide
Patterns of change linguistic innovations in the development of classical mathematics by
Ladislav Kvasz(
)
2 editions published in 2008 in English and held by 17 WorldCat member libraries 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 17 WorldCat member libraries 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
Differentials, higher order differentials and the derivative in the Leibnizian calculus by
H. J. M Bos(
Book
)
5 editions published between 1973 and 1975 in English and held by 14 WorldCat member libraries worldwide
5 editions published between 1973 and 1975 in English and held by 14 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 14 WorldCat member libraries worldwide
2 editions published between 2003 and 2006 in Dutch and held by 14 WorldCat member libraries worldwide
The world as a mathematical game John von Neumann and twentieth century science by
Giorgio Israel(
)
2 editions published in 2009 in English and held by 12 WorldCat member libraries worldwide
A comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science
2 editions published in 2009 in English and held by 12 WorldCat member libraries worldwide
A comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science
Christiaan Huygens : le temps en question : 350e anniversaire de naissance by
France) Institut néerlandais (Paris(
Book
)
1 edition published in 1979 in French and held by 11 WorldCat member libraries worldwide
1 edition published in 1979 in French and held by 11 WorldCat member libraries worldwide
The calculus in the eighteenth century I : foundations by
H. J. M Bos(
Book
)
2 editions published in 1975 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 10 WorldCat member libraries worldwide
Christiaan Huygens, 16291695 : een quaestie van tijd(
Book
)
1 edition published in 1979 in Dutch and held by 10 WorldCat member libraries worldwide
1 edition published in 1979 in Dutch and held by 10 WorldCat member libraries worldwide
The moon that wasn't the saga of Venus' spurious satellite by
Helge Kragh(
)
1 edition published in 2008 in English and held by 10 WorldCat member libraries worldwide
First spotted in 1645, the nonexisting moon was observed more than a dozen times until late eighteenth century. Although few astronomers believed in the existence of the moon after about 1770, it continued to attract attention for another century. This book details the history of one of astronomy's many spurious objects, the satellite of Venus
1 edition published in 2008 in English and held by 10 WorldCat member libraries worldwide
First spotted in 1645, the nonexisting moon was observed more than a dozen times until late eighteenth century. Although few astronomers believed in the existence of the moon after about 1770, it continued to attract attention for another century. This book details the history of one of astronomy's many spurious objects, the satellite of Venus
The correspondence of René Descartes 1643 by
René Descartes(
Book
)
2 editions published in 2003 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 10 WorldCat member libraries worldwide
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Audience Level
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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
 Bertin, E. M. J.
 Grootendorst, A. W.
 Baron, Margaret E. Author
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