Form And Clarity In Euclid S Elements
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Form And Clarity In Euclid S Elements
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Author : Anna-Maria Gasser
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Form And Clarity In Euclid S Elements written by Anna-Maria Gasser and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with History categories.
As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.
Form And Clarity In Euclid S Elements
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Author : Anna-Maria Gasser
language : en
Publisher: de Gruyter
Release Date : 2024
Form And Clarity In Euclid S Elements written by Anna-Maria Gasser and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with History categories.
This book examines the form of Euclid's Elements from a literary-aesthetic perspective. It asks what is 'literary' about the seemingly non-literary form of the proofs, and what motivates this form as form. Based on a detailed analysis of the e
Coming To Terms
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Author : Markus Asper
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-12-31
Coming To Terms written by Markus Asper and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-31 with History categories.
Terminologies present various challenges to their inventors and to their users, ranging from epistemic adequacy over linguistic concerns to matters of strategy and group construction. With respect to historical terminologies, however, research has been dominated by linguistic approaches. Breaking new ground, Coming to Terms collects eleven articles that combine an interest in the history of knowledge, mostly ancient Greek, with research on scientific terminologies. They all share an interest in terminological practices, that is, questions such as how and when to coin a term and then what to do with it. Among the fields discussed are astronomy, the Roman surveyors, Aristotelian science, Renaissance and modern biology, contemporary medicine, ancient Chinese philosophy, 20th-century physics, and colonial linguistics. Confronting ancient with modern terminologies, the collection intends to test integrative interpretive approaches. Thus, the collection documents how rich ancient (and modern) terminologies are and shows that they are, beyond lexicography, worth being studied per se.
The Foundations Of Geometry
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Author : David Hilbert
language : en
Publisher: Read Books Ltd
Release Date : 2015-05-06
The Foundations Of Geometry written by David Hilbert and has been published by Read Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-06 with History categories.
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Visual Differential Geometry And Forms
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Author : Tristan Needham
language : en
Publisher: Princeton University Press
Release Date : 2021-07-13
Visual Differential Geometry And Forms written by Tristan Needham and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-13 with Mathematics categories.
An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Proclus
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Author : Proclus
language : en
Publisher: Princeton University Press
Release Date : 2020-06-30
Proclus written by Proclus and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-30 with Philosophy categories.
The description for this book, Proclus: A Commentary on the First Book of Euclid's Elements, will be forthcoming.
Descartes On Mathematics Method And Motion
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Author : Ladislav Kvasz
language : en
Publisher: Springer Nature
Release Date : 2024-04-26
Descartes On Mathematics Method And Motion written by Ladislav Kvasz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Science categories.
This book argues that Descartes’ physics was a milestone on the road to modern mathematical physics. After Newton introduced a completely different approach to mathematical description of motion, Descartes’ physics became obsolete and even difficult to comprehend. This text follows the language of Descartes and the means of which motion can be described. It argues that Descartes achieved almost everything that later Newton was able to do—to describe the motion of interacting bodies- by different (i.e. algebraic) means. This volume completely refutes the received view according to which Descartes’ physics was merely a kind of discursive natural philosophy. To make this interpretation more plausible the book follows Descartes’ ideas from his early work in mathematics, through his invention of the analytic method towards his mature physics. It shows that Descartes followed a similar heuristic pattern. The volume appeals to students and researchers; it invites the reader equippedwith minimal understanding of college mathematics to follow Descartes on his intellectual journey through the Scientific Revolution. The reader will gain a deeper understanding of the role of mathematical language in the creation of modern physics and a glimpse into the fascinating world of Descartes’ scientific thought. Several of Descartes’ philosophical ideas can be traced back to his scientific interests and thus the book elucidates the motivation behind some of Descartes’ key positions in the area of epistemology and method. In the penultimate chapter the book presents four arguments in favor of seeing Descartes as a physicist on par with Galileo and Newton.
Euclid S Elements In Hebrew Garb
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Author : Ofer Elior
language : en
Publisher: BRILL
Release Date : 2021-09-20
Euclid S Elements In Hebrew Garb written by Ofer Elior and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Religion categories.
Euclid's Elements is one of the canonical texts that shaped our cultural heritage. It was translated from Greek into Arabic and from Arabic into Hebrew and Latin. There is little agreement about the textual history of the Arabic translations. The present book offers for the first time a critical edition of two Hebrew translations of Books I–II, by Moses Ibn Tibbon and by "Rabbi Jacob". A serious attempt is made to learn from the Hebrew translations also about the history of the Arabic text. The edition of Ibn Tibbon's translation is accompanied by an Arabic text which was probably its source. Rabbi Jacob's translation is compared to the Latin translation ascribed to Adelard of Bath, probably based on the same Arabic tradition.
An Historical Investigation Of The Axiom Of Congruence In Euclid S Elements
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Author : Marie Goldstein
language : en
Publisher:
Release Date : 1967
An Historical Investigation Of The Axiom Of Congruence In Euclid S Elements written by Marie Goldstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Congruences (Geometry) categories.
The Commentary Of Pappus On Book X Of Euclid S Elements
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Author : William Thomson
language : en
Publisher: BRILL
Release Date : 2020-02-25
The Commentary Of Pappus On Book X Of Euclid S Elements written by William Thomson and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-25 with History categories.
Preliminary Material /William Thomson , Gustav Junge and William Thomson --Vorwort /William Thomson , Gustav Junge and William Thomson --Bemerkungen zu dem vorliegenden Kommentar /Gustav Junge --Anmerkungen /William Thomson , Gustav Junge and William Thomson --Inhalt des Kommentars /William Thomson , Gustav Junge and William Thomson --Introduction /William Thomson --Notes /William Thomson , Gustav Junge and William Thomson --Translation /William Thomson , Gustav Junge and William Thomson --Notes /William Thomson , Gustav Junge and William Thomson --Translation, Part II /William Thomson , Gustav Junge and William Thomson --Notes /William Thomson , Gustav Junge and William Thomson --The Arabic Text /William Thomson , Gustav Junge and William Thomson --Notes on the Text /William Thomson , Gustav Junge and William Thomson --Glossary of Technical Terms /William Thomson , Gustav Junge and William Thomson.