Mathematiques Philosophie Histoire

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Deleuze and the History of Mathematics

Author : Simon Duffy
Publisher : A&C Black
ISBN 13 : 1441129502
Total Pages : 225 pages
Book Rating : 4.4/5 (411 download)

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Book Synopsis Deleuze and the History of Mathematics by : Simon Duffy

Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-07-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seeming incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Handbook of the History and Philosophy of Mathematical Practice

Author : Bharath Sriraman
Publisher : Springer Nature
ISBN 13 : 3031408462
Total Pages : 3221 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman

Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research in History and Philosophy of Mathematics

Author : Maria Zack
Publisher : Birkhäuser
ISBN 13 : 3319466151
Total Pages : 256 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Research in History and Philosophy of Mathematics by : Maria Zack

Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Birkhäuser. This book was released on 2016-12-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

The History of Mathematics

Author : Roger L. Cooke
Publisher : John Wiley & Sons
ISBN 13 : 1118030249
Total Pages : 630 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The History of Mathematics by : Roger L. Cooke

Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 113507254X
Total Pages : 760 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry by : Roshdi Rashed

Download or read book Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2013-06-26 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.

Isis

Author : George Sarton
Publisher :
ISBN 13 :
Total Pages : 862 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Isis by : George Sarton

Download or read book Isis written by George Sarton and published by . This book was released on 1913 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.

Ibn al-Haytham and Analytical Mathematics

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1136191070
Total Pages : 438 pages
Book Rating : 4.1/5 (361 download)

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Book Synopsis Ibn al-Haytham and Analytical Mathematics by : Roshdi Rashed

Download or read book Ibn al-Haytham and Analytical Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2013-05-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences in the mediaeval Arab world. The second of five comprehensive volumes, this book offers a detailed exploration of Arabic mathematics in the eleventh century as embodied in the legacy of the celebrated polymath al-Hasan ibn al-Haytham. Extensive analyses and annotations from the eminent scholar, Roshdi Rashed, support a number of key Arabic texts from Ibn al-Haytham’s treatises in infinitesimal mathematics, translated here into English for the first time. Rashed shows how Ibn al-Haytham’s works demonstrate a remarkable mathematical competence in mathematical subjects like the quadrature of the circle and of lunes, the calculation of the volumes of paraboloids, the problem of isoperimetric plane figures and solid figures with equal surface areas, along with the extraction of square and cubic roots. The present text is complemented by the first volume of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries Archimedean-Apollonian mathematical ‘School of Baghdad’. This constellation of works illustrates the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. Contributing to a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context, this fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.

History of Mathematics and Its Contexts

Author : Andrea Verdugo Rohrer
Publisher : Springer Nature
ISBN 13 : 3031608283
Total Pages : 292 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis History of Mathematics and Its Contexts by : Andrea Verdugo Rohrer

Download or read book History of Mathematics and Its Contexts written by Andrea Verdugo Rohrer and published by Springer Nature. This book was released on with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Changing Images in Mathematics

Author : Umberto Bottazini
Publisher : Routledge
ISBN 13 : 113469881X
Total Pages : 318 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis Changing Images in Mathematics by : Umberto Bottazini

Download or read book Changing Images in Mathematics written by Umberto Bottazini and published by Routledge. This book was released on 2013-06-17 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on some of the major developments in the history of contemporary (19th and 20th century) mathematics as seen in the broader context of the development of science and culture. Avoiding technicalities, it displays the breadth of contrasting images of mathematics favoured by different countries, schools and historical movements, showing how the conception and practice of mathematics changed over time depending on the cultural and national context. Thus it provides an original perspective for embracing the richness and variety inherent in the development of mathematics. Attention is paid to the interaction of mathematics with themes whose proper treatment have been neglected by the traditional historiography of the discipline, such as the relationship between mathematics, statistics and medicine.

Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1351686003
Total Pages : 637 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics by : Roshdi Rashed

Download or read book Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2017-07-20 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth volume of A History of Arabic Sciences and Mathematics is complemented by four preceding volumes which focused on the main chapters of classical mathematics: infinitesimal geometry, theory of conics and its applications, spherical geometry, mathematical astronomy, etc. This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors, Thābit ibn Qurra and al-Sijzī: The circle, its transformations and its properties; Analysis and synthesis: the founding of analytical art; A new mathematical discipline: the Knowns; The geometrisation of place; Analysis and synthesis: examples of the geometry of triangles; Axiomatic method and invention: Thābit ibn Qurra; The idea of an Ars Inveniendi: al-Sijzī. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.

History of Science, History of Text

Author : Karine Chemla
Publisher : Springer Science & Business Media
ISBN 13 : 1402023219
Total Pages : 283 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis History of Science, History of Text by : Karine Chemla

Download or read book History of Science, History of Text written by Karine Chemla and published by Springer Science & Business Media. This book was released on 2005-08-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: two main (interacting) ways. They constitute that with which exploration into problems or questions is carried out. But they also constitute that which is exchanged between scholars or, in other terms, that which is shaped by one (or by some) for use by others. In these various dimensions, texts obviously depend on the means and technologies available for producing, reproducing, using and organizing writings. In this regard, the contribution of a history of text is essential in helping us approach the various historical contexts from which our sources originate. However, there is more to it. While shaping texts as texts, the practitioners of the sciences may create new textual resources that intimately relate to the research carried on. One may think, for instance, of the process of introduction of formulas in mathematical texts. This aspect opens up a wholerangeofextremelyinterestingquestionstowhichwewillreturnatalaterpoint.But practitioners of the sciences also rely on texts produced by themselves or others, which they bring into play in various ways. More generally, they make use of textual resources of every kind that is available to them, reshaping them, restricting, or enlarging them. Among these, one can think of ways of naming, syntax of statements or grammatical analysis, literary techniques, modes of shaping texts or parts of text, genres of text and so on.Inthissense,thepractitionersdependon,anddrawon,the“textualcultures”available to the social and professional groups to which they belong.

Bulletin des relations scientifiques

Author :
Publisher :
ISBN 13 :
Total Pages : 498 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Bulletin des relations scientifiques by :

Download or read book Bulletin des relations scientifiques written by and published by . This book was released on 1928 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945

Author : Karen Hunger Parshall
Publisher : American Mathematical Soc.
ISBN 13 : 0821821245
Total Pages : 430 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945 by : Karen Hunger Parshall

Download or read book Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945 written by Karen Hunger Parshall and published by American Mathematical Soc.. This book was released on 2002 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.

The International Commission on Mathematical Instruction, 1908-2008: People, Events, and Challenges in Mathematics Education

Author : Fulvia Furinghetti
Publisher : Springer Nature
ISBN 13 : 3031043138
Total Pages : 754 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The International Commission on Mathematical Instruction, 1908-2008: People, Events, and Challenges in Mathematics Education by : Fulvia Furinghetti

Download or read book The International Commission on Mathematical Instruction, 1908-2008: People, Events, and Challenges in Mathematics Education written by Fulvia Furinghetti and published by Springer Nature. This book was released on 2023-01-30 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the history of ICMI trough a prosopographical approach. In other words, it pays a lot of attention to the actors of the International movement. The portraits of the members of the ICMI Central Committees (1908-1936) and ICMI Executive Committees (1952-2008), and other eminent figures in ICMI history, who have passed away in the first 100 years of its life, are the guiding thread of the volume. Each portrait includes: · Biographical information · An outline of the various contributions made by the individual in question to the study of problems pertaining to mathematics teaching/education · Primary bibliography · Secondary with particular attention to the publications concerning the teaching of mathematics · Images: photos, book frontispieces, relevant manuscripts The authors of the portraits (30 altogether) are researchers in the history of mathematics, mathematics, and mathematics education. The focus on the officer’s role within ICMI and on his/her contributions to mathematics education, make the portraits different from usual biographies. In particular, since most officers were active mathematicians, the portraits shed light on aspects of their lesser-known activity. Connecting chapters place the action of these figures in the historical context and in the different phases of ICMI history.

Revue Semestrielle Des Publications Mathématiques

Author :
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1913 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathematiques

Author :
Publisher :
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathematiques by :

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1895 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science after the Practice Turn in the Philosophy, History, and Social Studies of Science

Author : Léna Soler
Publisher : Routledge
ISBN 13 : 1317935357
Total Pages : 321 pages
Book Rating : 4.3/5 (179 download)

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Book Synopsis Science after the Practice Turn in the Philosophy, History, and Social Studies of Science by : Léna Soler

Download or read book Science after the Practice Turn in the Philosophy, History, and Social Studies of Science written by Léna Soler and published by Routledge. This book was released on 2014-03-21 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1980s, philosophical, historical and social studies of science underwent a change which later evolved into a turn to practice. Analysts of science were asked to pay attention to scientific practices in meticulous detail and along multiple dimensions, including the material, social and psychological. Following this turn, the interest in scientific practices continued to increase and had an indelible influence in the various fields of science studies. No doubt, the practice turn changed our conceptions and approaches of science, but what did it really teach us? What does it mean to study scientific practices? What are the general lessons, implications, and new challenges? This volume explores questions about the practice turn using both case studies and theoretical analysis. The case studies examine empirical and mathematical sciences, including the engineering sciences. The volume promotes interactions between acknowledged experts from different, often thought of as conflicting, orientations. It presents contributions in conjunction with critical commentaries that put the theses and assumptions of the former in perspective. Overall, the book offers a unique and diverse range of perspectives on the meanings, methods, lessons, and challenges associated with the practice turn.