The Spherics of Theodosios

The Spherics of Theodosios PDF Author: Nathan Sidoli
Publisher: Taylor & Francis
ISBN: 1000896099
Category : History
Languages : en
Pages : 573

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Book Description
This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period. Accompanied by an introduction to the life and works of Theodosios and a contextualization of his Spherics among other works of Greek mathematics and astronomy, the translation is followed by a detailed commentary, and an accessible English paraphrase accompanied with mathematically generated diagrams. The volume has a broad appeal to both general and specialist readers who do not read ancient Greek – allowing readers to understand the mathematical and astronomical principles and methods used by ancient and medieval readers of this important text. The paraphrase with its mathematical diagrams will be useful for readers with a scientific and mathematical background. This study of one of the canonical mathematical and astronomical texts of the ancient Greco-Roman, classical Islamic, and medieval Christian worlds provides an invaluable resource for historians of science, astronomy, and mathematics, and scholars of the ancient and medieval periods.

The Spherics of Theodosios

The Spherics of Theodosios PDF Author: Nathan Sidoli
Publisher: Taylor & Francis
ISBN: 1000896099
Category : History
Languages : en
Pages : 573

Get Book Here

Book Description
This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period. Accompanied by an introduction to the life and works of Theodosios and a contextualization of his Spherics among other works of Greek mathematics and astronomy, the translation is followed by a detailed commentary, and an accessible English paraphrase accompanied with mathematically generated diagrams. The volume has a broad appeal to both general and specialist readers who do not read ancient Greek – allowing readers to understand the mathematical and astronomical principles and methods used by ancient and medieval readers of this important text. The paraphrase with its mathematical diagrams will be useful for readers with a scientific and mathematical background. This study of one of the canonical mathematical and astronomical texts of the ancient Greco-Roman, classical Islamic, and medieval Christian worlds provides an invaluable resource for historians of science, astronomy, and mathematics, and scholars of the ancient and medieval periods.

Hellenistic Science and Culture in the Last Three Centuries B.C.

Hellenistic Science and Culture in the Last Three Centuries B.C. PDF Author: George Sarton
Publisher: Courier Corporation
ISBN: 0486277402
Category : Science
Languages : en
Pages : 593

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Book Description
Noted scholar's brilliant recapitulation of an especially fertile period for Greek astronomy, physics, mathematics, other sciences. Also illuminating discussions of art, religion, literature, more. "A wonderful book." ? Scientific American.

Research in History and Philosophy of Mathematics

Research in History and Philosophy of Mathematics PDF 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.

From Alexandria, Through Baghdad

From Alexandria, Through Baghdad PDF Author: Nathan Sidoli
Publisher: Springer Science & Business Media
ISBN: 3642367364
Category : Mathematics
Languages : en
Pages : 584

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Book Description
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.

Muslim Cultures in the Indo-Iranian World during the Early-Modern and Modern Periods

Muslim Cultures in the Indo-Iranian World during the Early-Modern and Modern Periods PDF Author: Fabrizio Speziale
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112208595
Category : History
Languages : en
Pages : 596

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Book Description
No detailed description available for "Muslim Cultures in the Indo-Iranian World during the Early-Modern and Modern Periods".

De Plana Spera

De Plana Spera PDF Author: Jordanus (Nemorarius)
Publisher: PIMS
ISBN: 9780888440396
Category : Art
Languages : en
Pages : 250

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Book Description


A History of Science: Hellenistic science and culture in the last three centuries B.C

A History of Science: Hellenistic science and culture in the last three centuries B.C PDF Author: George Sarton
Publisher:
ISBN:
Category : Civilization, Ancient
Languages : en
Pages : 588

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Book Description
No more published. Bibliographical footnotes. Bibliography: v. 1, p. [615]; v. 2, p. 528. [1] Ancient science through the Golden Age of Greece.--[2] Hellenistic science and culture in the last three centuries B.C.

From a Heuristic Point of View

From a Heuristic Point of View PDF Author: Cesare Cozzo
Publisher: Cambridge Scholars Publishing
ISBN: 1443863351
Category : Science
Languages : en
Pages : 295

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Book Description
How do we get new knowledge? Following the maverick tradition in the philosophy of science, Carlo Cellucci gradually came to the conclusion that logic can only fulfill its role in mathematics, science and philosophy if it helps us to answer this question. He argues that mathematical logic is inadequate and that we need a new logic, framed in a naturalistic conception of knowledge and philosophy – the heuristic conception. This path from logic to a naturalistic conception of knowledge and philosophy explains the title, From a Heuristic Point of View, which recalls the celebrated collection of essays, From a Logical Point of View, by Willard Van Orman Quine, the father of modern naturalized epistemology. The word ‘heuristic’ points to Cellucci’s favorite theme and the main difference between him and Quine: the emphasis on discovery and building a ‘logic’ for generating new knowledge. This book is a collection of essays from leading figures in this field who discuss, criticize, or expand on the main topics in Cellucci’s work, dealing with some of the most challenging questions in logic, science and philosophy.

The Making of Mathematics

The Making of Mathematics PDF Author: Carlo Cellucci
Publisher: Springer Nature
ISBN: 3030897311
Category : Mathematics
Languages : en
Pages : 457

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Book Description
This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.

Aristarchus of Samos: On the Sizes and Distances of the Sun and Moon

Aristarchus of Samos: On the Sizes and Distances of the Sun and Moon PDF Author: Christián C. Carman
Publisher: Taylor & Francis
ISBN: 1000869865
Category : History
Languages : en
Pages : 326

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Book Description
This book offers the Greek text and an English translation of Aristarchus of Samos’s On the Sizes and Distances of the Sun and Moon, accompanied by a full introduction, detailed commentary, and relevant scholia. Aristarchus of Samos was active in the third century BC. He was one of the first Greek astronomers to apply geometry to the solution of astronomical problems as we can see in his only extant text, On the Sizes and Distances of the Sun and Moon. Alongside the Greek text and new English translation, the book offers readers the Latin text and English translation of Commandino’s notes on the text. Readers will also benefit from a comprehensive introductory study explaining the value of Aristarchus’s calculations and methodology throughout history, as well as detailed analyses of each part of the treatise. This volume will be of interest to students and scholars working on ancient science and astronomy and the general reader interested in the history of science.