Menelaus Spherics
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Menelaus Spherics
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Author : Roshdi Rashed
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-10-23
Menelaus Spherics written by Roshdi Rashed 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 2017-10-23 with Philosophy categories.
Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.
Menelaus Spherics
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Author : Rushdī Rāshid
language : en
Publisher:
Release Date : 2017
Menelaus Spherics written by Rushdī Rāshid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Curves on surfaces categories.
Despite its importance in the history of Ancient science, Menelaus' Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader.
English Translation Of The Sphaerica Of Menelaus
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Author : Rani Hermiz
language : en
Publisher:
Release Date : 2015
English Translation Of The Sphaerica Of Menelaus written by Rani Hermiz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
The SPHAERICA (in English: Spherics) of Menelaus of Alexandria (dating to roughly 100 AD) is among the oldest known works on spherical geometry and trigonometry. Spherical geometry is the study of geometric objects on the surface of a sphere and spherical trigonometry is the study of relationships among sides and angles in triangles on a sphere, where the sides are arcs of “great circles.” The SPHAERICA was originally written in Koiné Greek, but editions in this language are no longer extant. One of the oldest complete editions still available is Abu Nasr Mansur’s “improved” edition in Arabic. Other editions exist in Arabic, Hebrew, Latin, and German, but none in English. In this thesis I give an English translation of Abu Nasr Mansur’s edition, and discuss certain aspects of the text from a modern point of view.
College Geometry
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Author : Howard Whitley Eves
language : en
Publisher: Jones & Bartlett Learning
Release Date : 1995
College Geometry written by Howard Whitley Eves and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.
College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.
Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date :
Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Tradition Transmission Transformation
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Author : Ragep
language : en
Publisher: BRILL
Release Date : 2023-09-20
Tradition Transmission Transformation written by Ragep and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-20 with Architecture categories.
In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.
The Mathematics Of The Heavens And The Earth
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2021-08-10
The Mathematics Of The Heavens And The Earth written by Glen Van Brummelen 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 2021-08-10 with Mathematics categories.
The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.
Circles Spheres And Spherical Geometry
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Author : Hiroshi Maehara
language : en
Publisher: Springer Nature
Release Date :
Circles Spheres And Spherical Geometry written by Hiroshi Maehara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
History Of Mathematics
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Author : Vagn Lundsgaard Hansen
language : en
Publisher: EOLSS Publications
Release Date : 2010-12-20
History Of Mathematics written by Vagn Lundsgaard Hansen and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-20 with categories.
History of Mathematics is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on History of Mathematics discusses: Mathematics in Egypt and Mesopotamia; History of Trigonometryto 1550; Mathematics in Japan; The Mathematization of The Physical Sciences-Differential Equations of Nature; A Short History of Dynamical Systems Theory:1885-2007; Measure Theories and Ergodicity Problems; The Number Concept and Number Systems; Operations Research and Mathematical Programming: From War to Academia - A Joint Venture; Elementary Mathematics From An Advanced Standpoint; The History and Concept of Mathematical Proof; Geometry in The 20th Century; Bourbaki: An Epiphenomenon in The History of Mathematics This volume is aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.
A New History Of Greek Mathematics
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Author : Reviel Netz
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-01
A New History Of Greek Mathematics written by Reviel Netz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Philosophy categories.
The ancient Greeks played a fundamental role in the history of mathematics and their ideas were reused and developed in subsequent periods all the way down to the scientific revolution and beyond. In this, the first complete history for a century. Reviel Netz offers a panoramic view of the rise and influence of Greek mathematics and its significance in world history. He explores the Near Eastern antecedents and the social and intellectual developments underlying the subject's beginnings in Greece in the fifth century BCE. He leads the reader through the proofs and arguments of key figures like Archytas, Euclid and Archimedes, and considers the totality of the Greek mathematical achievement which also includes, in addition to pure mathematics, such applied fields as optics, music, mechanics and, above all, astronomy. This is the story not only of a major historical development, but of some of the finest mathematics ever created.