Euclid's Elements

Euclid's Elements
Author: Euclid
Publisher:
Total Pages: 544
Release: 2002
Genre: Mathematics
ISBN:

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy

Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy
Author: David Sepkoski
Publisher: Routledge
Total Pages: 186
Release: 2013-05-24
Genre: Mathematics
ISBN: 1136768688

What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answering this question, this book demonstrates that a significant group of philosophers shared the belief that there is no necessary correspondence between external reality and objects of human understanding, which they held to include the objects of mathematical and linguistic discourse. The result is a scholarly reliable, but accessible, account of the role of mathematics in the works of (amongst others) Galileo, Kepler, Descartes, Newton, Leibniz, and Berkeley. This impressive volume will benefit scholars interested in the history of philosophy, mathematical philosophy and the history of mathematics.

John Dee's Conversations with Angels

John Dee's Conversations with Angels
Author: Deborah E. Harkness
Publisher: Cambridge University Press
Total Pages: 276
Release: 1999-11-13
Genre: History
ISBN: 9780521622288

John Dee's angel conversations have been an enigmatic facet of Elizabethan England's most famous natural philosopher's life and work. Professor Harkness contextualizes Dee's angel conversations within the natural philosophical, religious and social contexts of his time philosophy, and the apocalypse, and argues that they represent a continuing development of John Dee's earlier concerns and interests. These conversations include discussions of the natural world, the practice of natural philosophy, and the apocalypse.

The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Author: Euclid
Publisher: Createspace Independent Publishing Platform
Total Pages: 448
Release: 2017-04-30
Genre:
ISBN: 9781546376675

Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.

The Origins of Freemasonry

The Origins of Freemasonry
Author: David Stevenson
Publisher: Cambridge University Press
Total Pages: 272
Release: 1990-09-20
Genre: History
ISBN: 9780521396547

This book is a new edition of David Stevenson's classic account of the origins of Freemasonry, a brotherhood of men bound together by secret initiatives, rituals and modes of identification with ideals of fraternity, equality, toleration and reason. Beginning in Britain, Freemasonry swept across Europe in the mid-eighteenth century in astonishing fashion--yet its origins are still hotly debated today. The prevailing assumption has been that it emerged in England around 1700, but David Stevenson demonstrates that the real origins of modern Freemasonry lie in Scotland around 1600, when the system of lodges was created by stonemasons with rituals and secrets blending medieval mythology with Renaissance and seventeenth-century history. This fascinating work of historical detection will be essential reading for anyone interested in Renaissance and seventeenth-century history, for freemasons themselves, and for those readers captivated by the secret societies at the heart of the bestselling The Da Vinci Code. David Stevenson is Emeritus Professor of Scottish History at the University of St. Andrews. His many previous publications include The Scottish Revolution, 1637-1644; Revolution and Counter-Revolution in Scotland, 1644-1651; and The First Freemasons; Scotland, Early Lodges and their Members. His most recent book is the The Hunt for Rob Roy (2004). Previous edition Hb (1988) 0-521-35326-2 Previous edition Pb (1990) 0-521-39654-9

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
Total Pages: 535
Release: 2013-11-11
Genre: Mathematics
ISBN: 0387226761

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.

Renaissance Go-Betweens

Renaissance Go-Betweens
Author: Andreas Höfele
Publisher: Walter de Gruyter
Total Pages: 305
Release: 2011-12-22
Genre: Literary Criticism
ISBN: 3110919516

The volume analyses some of the travelling and bridge-building activities that went on in Renaissance Europe, mainly but not exclusively across the Channel, true to Montaigne's epoch-making program of describing 'the passage'. Its emphasis on Anglo-Continental relations ensures a firm basis in English literature, but its particular appeal lies in its European point of view, and in the perspectives it opens up into other areas of early modern culture, such as pictorial art, philosophy, and economics. The multiple implications of the go-between concept make for structured diversity. The chapters of this book are arranged in three stages. Part 1 ('Mediators') focuses on influential go-betweens, both as groups, like the translators, and as individual mediators. The second part of this book ('Mediations') is concerned with individual acts of mediation, and with the 'mental topographies' they presuppose, reflect and redraw in their turn. Part 3 ('Representations') looks at the role of exemplary intermediaries and the workings of mediation represented on the early modern English stage. Key features High quality anthology on phenomena of cultural exchange in the Renaissance era With contributions by outstanding international experts

The Making of Copernicus

The Making of Copernicus
Author:
Publisher: BRILL
Total Pages: 347
Release: 2014-10-16
Genre: History
ISBN: 9004281126

The contributions to Making of Copernicus examine exemplarily how some of the Copernicus myths came about and if they could hold their ground or have vanished again. Are there links between a factual or postulated transformation of world images and the application of certain scientific metaphors, especially the metaphor of a revolution? Were there interactions and amalgamations of the literary and scientific enthronement, or outlawry of Copernicus and if so, how did they take place? On the other hand, are there repercussions of the scientific-historical reconstructions and hagiographies on the literary image of Copernicus as sketched by novelists even in the 20th century? The history of the reception of Copernicus shall not be dominantly dealt with from the point of view of a factual affirmation and rejection of the astronomer and his doctrine but rather as accomplishments of transformation respectively. Thus, the essays in this volume investigate transformations: methodological, institutional, textual, and visual transformations of the Copernican doctrine and the topical, rhetorical and literary transformations of the historical person of Copernicus respectively.

Geometry Civilized

Geometry Civilized
Author: J. L. Heilbron
Publisher: Oxford University Press
Total Pages: 344
Release: 2000
Genre: History
ISBN: 9780198506904

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.