Download or read book Menelaus Spherics written by Roshdi Rashed and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Menelaus Spherics written by Rushdī Rāshid and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book College Geometry written by Howard Whitley Eves and published by Jones & Bartlett Learning. This book was released on 1995 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tradition Transmission Transformation written by Ragep and published by BRILL. This book was released on 2023-09-20 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Circles Spheres and Spherical Geometry written by Hiroshi Maehara and published by Springer Nature. This book was released on with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Mathematics written by Vagn Lundsgaard Hansen and published by EOLSS Publications. This book was released on 2010-12-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Spherics of Theodosios written by Nathan Sidoli and published by Taylor & Francis. This book was released on 2023-07-31 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A New History of Greek Mathematics written by Reviel Netz and published by Cambridge University Press. This book was released on 2022-09-01 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book New Perspectives on the History of Islamic Science written by Muzaffar Iqbal and published by Routledge. This book was released on 2017-05-15 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent studies in the history of Islamic science based on the discovery and study of new primary texts and instruments have substantially revised the views of nineteenth-century historians of science. This volume presents some of these ground-breaking studies as well as articles which shed new light on the ongoing academic debate surrounding the question of the decline of Islamic scientific tradition.
Download or read book Spherical Geometry and Its Applications written by Marshall A. Whittlesey and published by CRC Press. This book was released on 2019-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus
Download or read book The Doctrine of Triangles written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-06-08 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.
Download or read book The Development of Trigonometric Methods Down to the Close of the XVth Century The development of trigonometric methods down to the close of the XVth century Extrait d Isis no 11 vol IV 2 October 1921 written by John David Bond and published by . This book was released on 1921 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isis written by George Sarton and published by . This book was released on 1922 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.
Download or read book The Development of Trigonometric Methods Down to the Close of the XVth Century written by John David Bond and published by . This book was released on 1921 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book PLANE TRIGONOMETRY IN RICHARD WALLINGFORD S QUADRIPARTITUM DE SINIBUS DEMONSTRATIS written by JOHN DAVID BOND and published by . This book was released on 1920 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
