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Author: Charles Hutton
Publisher:
ISBN: 9781855068599
Category : Mathematics
Languages : en
Pages : 1505
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Book Description
Author: Charles Hutton
Publisher:
ISBN: 9781855068599
Category : Mathematics
Languages : en
Pages : 1505
Get Book Here
Book Description
Author: Charles Hutton
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 690
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Book Description
Author: Charles Hutton
Publisher: London : Printed for the author
ISBN:
Category : Mathematics
Languages : en
Pages : 810
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Book Description
Author: Roger Ariew
Publisher: Rowman & Littlefield
ISBN: 144224769X
Category : Philosophy
Languages : en
Pages : 410
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Book Description
Descartes is perhaps most closely associated with the title, “the Father of Modern Philosophy.” Generations of students have been introduced to the study of philosophy through a consideration of his Meditations on First Philosophy. His contributions to natural science is shown by the fact that his physics, as promulgated by the Cartesians, played a central role in the debates after his death over Isaac Newton’s theory of gravitation. Descartes also made major contributions to the field of analytic geometry; we still speak today of “Cartesian coordinates” and the “Cartesian product.” This second edition of Historical Dictionary of Descartes and Cartesian Philosophy covers the history through a chronology, an introductory essay, and an extensive bibliography. The dictionary section has over 300 cross-referenced entries on various concepts in Descartes’ philosophy, science, and mathematics, as well as biographical entries about the intellectual setting for Descartes’ philosophy and its reception, both with Cartesians and anti-Cartesians. This book is an excellent access point for students, researchers, and anyone wanting to know more about Descartes.
Author: David G. Wells
Publisher: Cambridge University Press
ISBN: 1107024609
Category : Games & Activities
Languages : en
Pages : 257
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Book Description
A unique book providing a tour through the fascinating connections between mathematics and games.
Author: Barry Sandywell
Publisher: Routledge
ISBN: 1134853475
Category : Social Science
Languages : en
Pages : 536
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Book Description
In this third Volume of Logological Investigations Sandywell continues his sociological reconstruction of the origins of reflexive thought and discourse with special reference to pre-Socratic philosophy and science and their socio-political context.
Author: I. Grattan-Guinness
Publisher: JHU Press
ISBN: 9780801873973
Category : Mathematics
Languages : en
Pages : 980
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Book Description
The second book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics.
Author: Paolo Mancosu
Publisher: Oxford University Press, USA
ISBN: 0195132440
Category : Matematik
Languages : en
Pages : 290
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Book Description
1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.
Author: Maria Zack
Publisher: Springer
ISBN: 3319909835
Category : Mathematics
Languages : en
Pages : 209
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Book Description
This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century. A series of chapters all set in the eighteenth century consider topics such as John Marsh’s techniques for the computation of decimal fractions, Euler’s efforts to compute the surface area of scalene cones, a little-known work by John Playfair on the practical aspects of mathematics, and Monge’s use of descriptive geometry. After a brief stop in the nineteenth century to consider the culture of research mathematics in 1860s Prussia, the book moves into the twentieth century with an examination of the historical context within which the Axiom of Choice was developed and a paper discussing Anatoly Vlasov’s adaptation of the Boltzmann equation to ionized gases. The remaining chapters deal with the philosophy of twentieth-century mathematics through topics such as an historically informed discussion of finitism and its limits; a reexamination of Mary Leng’s defenses of mathematical fictionalism through an alternative, anti-realist approach to mathematics; and a look at the reasons that mathematicians select specific problems to pursue. Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
Author: Michael R. Matthews
Publisher: Springer
ISBN: 9400776543
Category : Education
Languages : en
Pages : 2487
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Book Description
This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects. There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. Science educators will be grateful for this unique, encyclopaedic handbook, Gerald Holton, Physics Department, Harvard University This handbook gathers the fruits of over thirty years’ research by a growing international and cosmopolitan community Fabio Bevilacqua, Physics Department, University of Pavia
