Classics in the History of Greek Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402026404
Total Pages : 464 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Classics in the History of Greek Mathematics by : Jean Christianidis

Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.

Historiography of Mathematics in the 19th and 20th Centuries

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319396498
Total Pages : 282 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Historiography of Mathematics in the 19th and 20th Centuries by : Volker R. Remmert

Download or read book Historiography of Mathematics in the 19th and 20th Centuries written by Volker R. Remmert and published by Birkhäuser. This book was released on 2016-12-08 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.

A History of Mathematics

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Publisher : OUP Oxford
ISBN 13 : 0191664367
Total Pages : 296 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis A History of Mathematics by : Luke Hodgkin

Download or read book A History of Mathematics written by Luke Hodgkin and published by OUP Oxford. This book was released on 2013-02-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.

The Ancient Tradition of Geometric Problems

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Publisher : Courier Corporation
ISBN 13 : 0486675327
Total Pages : 419 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis The Ancient Tradition of Geometric Problems by : Wilbur Richard Knorr

Download or read book The Ancient Tradition of Geometric Problems written by Wilbur Richard Knorr and published by Courier Corporation. This book was released on 1993-01-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.

V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics

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Author :
Publisher : Springer Nature
ISBN 13 : 3031068432
Total Pages : 319 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics by : Alex Citkin

Download or read book V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics written by Alex Citkin and published by Springer Nature. This book was released on 2022-11-08 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.

A Mathematical History of Division in Extreme and Mean Ratio

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Publisher : Wilfrid Laurier Univ. Press
ISBN 13 : 0889201528
Total Pages : 208 pages
Book Rating : 4.8/5 (892 download)

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Book Synopsis A Mathematical History of Division in Extreme and Mean Ratio by : Roger Herz-Fischler

Download or read book A Mathematical History of Division in Extreme and Mean Ratio written by Roger Herz-Fischler and published by Wilfrid Laurier Univ. Press. This book was released on 1987 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Using History to Teach Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 9780883851630
Total Pages : 284 pages
Book Rating : 4.8/5 (516 download)

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Book Synopsis Using History to Teach Mathematics by : Victor J. Katz

Download or read book Using History to Teach Mathematics written by Victor J. Katz and published by Cambridge University Press. This book was released on 2000-09-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Isis

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Publisher :
ISBN 13 :
Total Pages : 658 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 1925 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.

Probability and Literary Form

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Publisher : Cambridge University Press
ISBN 13 : 0521254566
Total Pages : 398 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Probability and Literary Form by : Douglas Lane Patey

Download or read book Probability and Literary Form written by Douglas Lane Patey and published by Cambridge University Press. This book was released on 1984-04-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly original and penetrating study explores fundamental intellectual predispositions and concepts which underpin the literature and thought of the Augustan period in England. By examining in particular Augustan notions of probability and the way they provided a framework for thinking about and organising experience, Dr Patey reconstructs a characteristically eighteenth-century theory of literature which offers a much more satisfactory account of the work of Pope, Johnson, Fielding and others than the Romantic literary categories already in existence. The scope of this study is encyclopaedic and it will be an essential reference work for all scholars of eighteenth-century English literature and intellectual history, as well as historians of ideas.

A Mathematical History of the Golden Number

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Publisher : Courier Corporation
ISBN 13 : 0486152324
Total Pages : 228 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis A Mathematical History of the Golden Number by : Roger Herz-Fischler

Download or read book A Mathematical History of the Golden Number written by Roger Herz-Fischler and published by Courier Corporation. This book was released on 2013-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.

The Ashtray

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Publisher : University of Chicago Press
ISBN 13 : 0226922693
Total Pages : 224 pages
Book Rating : 4.2/5 (269 download)

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Book Synopsis The Ashtray by : Errol Morris

Download or read book The Ashtray written by Errol Morris and published by University of Chicago Press. This book was released on 2023-02-17 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filmmaker Errol Morris offers his perspective on the world and his powerful belief in the necessity of truth. In 1972, philosopher of science Thomas Kuhn threw an ashtray at Errol Morris. This book is the result. At the time, Morris was a graduate student. Now we know him as one of the most celebrated and restlessly probing filmmakers of our time, the creator of such classics of documentary investigation as The Thin Blue Line and The Fog of War. Kuhn, meanwhile, was—and, posthumously, remains—a star in his field, the author of The Structure of Scientific Revolutions, a landmark book that has sold well over a million copies and introduced the concept of “paradigm shifts” to the larger culture. And Morris thought the idea was bunk. The Ashtray tells why—and in doing so, it makes a powerful case for Morris’s way of viewing the world, and the centrality to that view of a fundamental conception of the necessity of truth. “For me,” Morris writes, “truth is about the relationship between language and the world: a correspondence idea of truth.” He has no patience for philosophical systems that aim for internal coherence and disdain the world itself. Morris is after bigger game: he wants to establish as clearly as possible what we know and can say about the world, reality, history, our actions and interactions. It’s the fundamental desire that animates his filmmaking, whether he’s probing Robert McNamara about Vietnam or the oddball owner of a pet cemetery. Truth may be slippery, but that doesn’t mean we have to grease its path of escape through philosophical evasions. Rather, Morris argues powerfully, it is our duty to do everything we can to establish and support it. In a time when truth feels ever more embattled, under siege from political lies and virtual lives alike, The Ashtray is a bracing reminder of its value, delivered by a figure who has, over decades, uniquely earned our trust through his commitment to truth. No Morris fan should miss it.

Boston Studies in the Philosophy of Science

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Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Boston Studies in the Philosophy of Science by : Jean Christianidis

Download or read book Boston Studies in the Philosophy of Science written by Jean Christianidis and published by . This book was released on 2004 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Alexandria, Through Baghdad

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Publisher : Springer Science & Business Media
ISBN 13 : 3642367364
Total Pages : 584 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis From Alexandria, Through Baghdad by : Nathan Sidoli

Download or read book From Alexandria, Through Baghdad written by Nathan Sidoli and published by Springer Science & Business Media. This book was released on 2013-10-30 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.

The Evolution of the Euclidean Elements

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Publisher : Springer Science & Business Media
ISBN 13 : 9401017549
Total Pages : 389 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis The Evolution of the Euclidean Elements by : W.R. Knorr

Download or read book The Evolution of the Euclidean Elements written by W.R. Knorr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus.

Transformation and Tradition in the Sciences

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Publisher : Cambridge University Press
ISBN 13 : 9780521524858
Total Pages : 594 pages
Book Rating : 4.5/5 (248 download)

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Book Synopsis Transformation and Tradition in the Sciences by : Everett Mendelsohn

Download or read book Transformation and Tradition in the Sciences written by Everett Mendelsohn and published by Cambridge University Press. This book was released on 2002 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of essays on the development of science and the history of ideas.

Trends in the Historiography of Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9401735964
Total Pages : 453 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Trends in the Historiography of Science by : K. Gavroglu

Download or read book Trends in the Historiography of Science written by K. Gavroglu and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume have been first presented during an international Conference organised by the Greek Society for the History of Science and Technology in June 1990 at Corfu. The Society was founded in 1989 and planned to hold a series of meetings to impress upon an audience comprised mainly by Greek students and scholars, the point that history of science is an autonomous discipline with its own plurality of approaches developed over the years as a result of long discussions and disputes within the community of historians of science. The Conference took place at a time when more and more people came to realise that the future of the Greek Universities and Research Centres depends not only on the progress of the institutional reforms, but also very crucially on the establishment of new and modern subject areas. Though there have been significant steps towards such a direction in the physical sciences, mathematics and engineering, the situation in the so-called humanities has been, at best, confusing. Political expediencies of the post war years and ideological commitments to a glorious, yet very distant past, paralysed the development of the humanities and constrained them within a framework which could not allow much more than a philological approach.

Colloque sur les fondements des mathématiques, les machines mathématiques, et leurs applications

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.4/5 (869 download)

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Book Synopsis Colloque sur les fondements des mathématiques, les machines mathématiques, et leurs applications by :

Download or read book Colloque sur les fondements des mathématiques, les machines mathématiques, et leurs applications written by and published by . This book was released on 1965 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: