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Author: Derek Thomas Whiteside
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Author: Derek Thomas Whiteside
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
Author: Derek Thomas Whiteside
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Morris Kline
Publisher: Oxford University Press
ISBN: 9780199840427
Category : Mathematics
Languages : en
Pages : 480
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Book Description
This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
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: Ivor Grattan-Guinness
Publisher: Elsevier
ISBN: 0080457444
Category : Mathematics
Languages : en
Pages : 1042
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Book Description
This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field
Author: John Fauvel
Publisher: Oxford University Press, USA
ISBN: 9780198523093
Category : History
Languages : en
Pages : 334
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Book Description
This is the story of the intellectual and social life of a community, and of its interactions with the wider world. For 800 years mathematics has been researched and studied at Oxford, and the subject and its teaching have undergone profound changes during that time. This highly readable and beautifully illustrated book reveals the richness and influence of Oxford's mathematical tradition and the fascinating characters who helped to shape it. The story begins with the founding of the university of Oxford and the establishing of the medieval curriculum, in which mathematics had an important role. The Black Death, the advent of printing, the founding of the university of Cambridge, and the Newtonian revolution all had a great influence on the later development of mathematics at Oxford. So too did many well-known figures: Robert Boyle, Christopher Wren, Edmond Halley, Benjamin Jowett, Charles Lutwidge Dodgson, G. H. Hardy, to name but a few. Later chapters bring us to the twentieth century, and the book ends with some entertaining reminiscences by Sir Michael Atiyah of the thirty years he spent as an Oxford mathematician.
Author: Pauline Phemister
Publisher: Springer Science & Business Media
ISBN: 140205243X
Category : Philosophy
Languages : en
Pages : 254
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Book Description
This volume explores the attention awarded in the English-speaking world to German philosopher Gottfried Wilhelm Leibniz. Complete with an introductory overview, the book collects fourteen essays that consider Leibniz’s connections with his English-speaking contemporaries and near contemporaries as well as the later reception of his thought in Anglo-American philosophy. It sheds new light on Leibniz's philosophy and that of his contemporaries.
Author: Nihon Sūgakkai
Publisher: MIT Press
ISBN: 9780262590204
Category : Mathematics
Languages : en
Pages : 1180
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Book Description
V.1. A.N. v.2. O.Z. Apendices and indexes.
Author: Philip Beeley
Publisher: OUP Oxford
ISBN: 0191524131
Category : Mathematics
Languages : en
Pages : 720
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Book Description
This is the second volume of a six volume compendium on the correspondences of John Wallis (1616-1703). Wallis was Savilian Professor of Geometry at Oxford from 1649 until his death, and was a founding member of the Royal Society and a central figure in the scientific and intellectual history of England. Along with his role as decipherer on the Parlimentary side during the Civil War, he prepared the ground for the discovery of infinitesimal calculus by Newton and Leibniz and played a decisive role in modernization of English mathematics. This volume provides fascinating insight into the life of Wallis through his correspondences with intellectual and political figures of the latter part of the 17th century.
Author: Karine Chemla
Publisher: Oxford University Press
ISBN: 0191083054
Category : Mathematics
Languages : en
Pages : 529
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Book Description
Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research: historical epistemology, in which values (e.g. "objectivity", "accuracy") are studied from a historical viewpoint; and the philosophy of scientific practice, in which conceptual developments are seen as embedded in networks of social, instrumental, and textual practices. Each chapter provides a self-contained case-study, with a clear exposition of the scientific content at stake. The collection covers a wide range of scientific domains - with an emphasis on mathematics - and historical periods. It thus allows a comparative perspective which suggests a non-linear pattern for a history of generality. The introductory chapter spells out the key issues and points to the connections between the chapters.
