Download or read book British Versions of Book II of Euclid s Elements Geometry Arithmetic Algebra 1550 1750 written by Leo Corry and published by Springer Nature. This book was released on 2022-09-12 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley’s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow’s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales’ French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.

Download or read book Euclid Vindicated from Every Blemish written by Gerolamo Saccheri and published by Springer. This book was released on 2014-08-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.

Download or read book Geometry Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Download or read book Greek Science in the Long Run written by Paula Olmos and published by Cambridge Scholars Publishing. This book was released on 2012-03-15 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Greek traditions relating to both the arts and sciences of life and health and those regarding the systematic development of theories of measurement and quantification enjoyed an incredibly long reputation and showed a kind of versatility that challenges any simplistic, dogmatic or a priori viewpoint about the meaning and social function of systematic knowledge. In this sense, they allow us to focus on very specific traits of the multiple processes of production, textual arrangement and transmission of the sciences. Greek Science in the Long Run: Essays on the Greek Scientific Tradition (4th c. BCE–17th c. CE) offers a collection of essays in which renowned international experts in ancient, medieval and early modern history and culture and the history of science, together with young researchers in these same fields, reflect upon different aspects of this long-standing prominence of Greek models and traditions in the changing configuration of the sciences. The main aim of the volume is to revisit the different processes by which such doctrinal traditions originated, were transmitted and received within diverse socio-cultural contexts and frameworks. The specialized scholars and academics contributing to the volume embrace advanced standpoints regarding these issues and ensure a successful and substantial contribution to one of the lines of research that has recently attracted the most attention within the field of humanities: the interdisciplinary project of a historical epistemology seriously informed by an advanced history of epistemology or the sciences.

Download or read book The National Union Catalog Pre 1956 Imprints written by and published by . This book was released on 1981 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Between Tradition and Innovation written by Ad J. Meskens and published by BRILL. This book was released on 2021-03-29 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an analysis of the ground breaking mathematical work of Gregorio a San Vicente and his student and shows that the Flemish Jesuit Mathematics School had profound influence on mathematics in the seventeenth century.

Download or read book The Catalogue of the History of Science Collections of the University of Oklahoma Libraries written by University of Oklahoma. Libraries and published by . This book was released on 1976 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reading Kant s Lectures written by Robert R. Clewis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-09-14 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important collection of more than twenty original essays by prominent Kant scholars covers the multiple aspects of Kant’s teaching in relation to his published works. With the Academy edition’s continuing publication of Kant’s lectures, the role of his lecturing activity has been drawing more and more deserved attention. Several of Kant’s lectures on metaphysics, logic, ethics, anthropology, theology, and pedagogy have been translated into English, and important studies have appeared in many languages. But why study the lectures? When they are read in light of Kant’s published writings, the lectures offer a new perspective of Kant’s philosophical development, clarify points in the published texts, consider topics there unexamined, and depict the intellectual background in richer detail. And the lectures are often more accessible to readers than the published works. This book discusses all areas of Kant's lecturing activity. Some essays even analyze in detail the content of Kant's courses and the role of textbooks written by key authors such as Baumgarten, helping us understand Kant’s thought in its intellectual and historical contexts. Contributors: Huaping Lu-Adler; Henny Blomme ; Robert Clewis; Alix Cohen; Corey Dyck; Faustino Fabbianelli; Norbert Fischer; Courtney Fugate; Paul Guyer; Robert Louden; Antonio Moretto; Steve Naragon; Christian Onof; Stephen Palmquist; Riccardo Pozzo; Frederick Rauscher; Dennis Schulting; Oliver Sensen; Susan Shell; Werner Stark; John Zammito; Günter Zöller

Download or read book An Important Collection of Books on Philosophy written by Martinus Nijhoff and published by Springer. This book was released on 2013-11-21 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Catalogue of the Books and Tracts on Pure Mathematics in the Central Library written by Newcastle upon Tyne (England). Public libraries and published by . This book was released on 1901 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Elements of Plane Geometry Containing the First Six Books of Euclid from the Text of Dr Simson with Notes To which are Added Book VII Book VIII Also Book IX and Book X By T Keith written by and published by . This book was released on 1814 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The National Union Catalog Pre 1956 Imprints written by Library of Congress and published by . This book was released on 1968 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Geometry Civilized written by J. L. Heilbron and published by Oxford University Press. This book was released on 2000 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

Download or read book The Elements of Plane Geometry Containing the First Six Books of Euclid from the Text of Dr Simson with Notes Critical and Explanatory Book 7 Book 8 Book 9 Book 10 By T Keith The Third Edition Corrected and Improved written by and published by . This book was released on 1827 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Elements of Plane Geometry Containing the First Six Books of Euclid from the Text of Dr Simson with Notes Critical and Explanatory to which are Added Book 7 Including Several Important Propositions which are Not in Euclid and Book 8 Consisting of Practical Geometry Also Book 9 of Planes and Their Interesections and Book 10 of the Geometry of Solids by Thomas Keith written by Euclides and published by . This book was released on 1814 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analysing Historical Mathematics Textbooks written by Gert Schubring and published by Springer Nature. This book was released on 2023-01-04 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the creation and production of textbooks for learning and teaching mathematics. It covers a period from Antiquity to Modern Times. The analysis begins by assessing principal cultures with a practice of mathematics. The tension between the role of the teacher and his oral mode, on the one hand, and the use of a written (printed) text, in their respective relation with the student, is one of the dimensions of the comparative analysis, conceived of as the ‘textbook triangle’. The changes in this tension with the introduction of the printing press are discussed. The book presents various national case studies (France, Germany, Italy) as well as analyses of the internationalisation of textbooks via transmission processes. As this topic has not been sufficiently explored in the literature, it will be very well received by scholars of mathematics education, mathematics teacher educators and anyone with an interest in the field.

Download or read book Handbook on the History of Mathematics Education written by Alexander Karp and published by Springer Science & Business Media. This book was released on 2014-01-25 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.