Download or read book Vestigia Mathematica written by Menso Folkerts and published by . This book was released on 1993 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Taylor & Francis. This book was released on 2024-10-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Download or read book Redefining Geometrical Exactness written by Henk J.M. Bos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
Download or read book The Enterprise of Science in Islam written by J. P. Hogendijk and published by MIT Press. This book was released on 2003 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent historical research and new perspectives on the Islamic scientific tradition.
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 Roger Bacon and the Sciences written by Hackett and published by BRILL. This book was released on 2021-10-25 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the philosophy and thought of Roger Bacon. It is an effort to bring Roger Bacon studies up to date. Attention is given to a wide range of topics: Bacon's life and works, Bacon's contribution to the trivium (language studies) and the quadrivium (scientific-mathematical studies), his notion of a science, his moral philosophy, Bacon's contribution to medicine, alchemy, astrology, Bacon's positions in physics and metaphysics, an up dated bibliography of Bacon studies and a review of the state of Bacon Manuscripts. The volume situates Roger Bacon in the context of 13th century philosophy and thought, as well as demonstrating his importance for later thinkers. It is expected that it will be a major new contribution to Medieval and Renaissance Studies.
Download or read book Ga it nanda written by K. Ramasubramanian and published by Springer Nature. This book was released on 2019-11-08 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.
Download or read book By the Numbers written by Jessica Marie Otis and published by Oxford University Press. This book was released on 2024 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: "During the sixteenth and seventeenth centuries, English numerical practices underwent a complex transformation with wide-ranging impacts on English society and modes of thought. At the beginning of the early modern period, English men and women believed that God had made humans universally numerate, although numbers were not central to their everyday lives. Over the next two centuries, rising literacy rates and the increasing availability of printed books revolutionized modes of arithmetical education, upended the balance between the multiple symbolic systems used to express popular numeracy, and contributed to a wider transformation in numbers as a technology of knowledge"--
Download or read book The Commentary of Al Nayrizi on Books II IV of Euclid s Elements of Geometry written by Anaritius and published by BRILL. This book was released on 2009 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Commentary of al-Nayrizi (circa 920) on Euclid s "Elements of Geometry" occupies an important place both in the history of mathematics and of philosophy, particularly Islamic philosophy. It is a compilation of original work by al-Nayrizi and of translations and commentaries made by others, such as Heron. It is the most influential Arabic mathematical manuscript in existence and a principle vehicle whereby mathematics was reborn in the Latin West. Furthermore, the Commentary on Euclid by the Platonic philosopher Simplicius, entirely reproduced by al-Nayrizi, and nowhere else extant, is essential to the study of the attempt to prove Euclid s Fifth Postulate from the preceding four. Al-Nayrizi was one of the two main sources from which Albertus Magnus (1193-1280), the Doctor Universalis, learned mathematics. This work presents an annotated English translation of Books II-IV and of a hitherto lost portion of Book I.
Download or read book Euclid in China written by Engelfriet and published by BRILL. This book was released on 2021-11-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of the Jesuits' programme of introduction to European culture, in 1607 the Elements of Euclid (± 300 BC) were translated for the first time into Chinese. The translation of this epoch-making ancient Greek textbook on deductive geometry meant a confrontation of contemporary Chinese and European cultures. Part I of Peter Engelfriet's work deals mainly with the European and Chinese backgrounds, part II with linguistic and textual matters. In part III the manner in which learned Chinese tried to integrate this new knowledge into their own, Chinese, mathematical and cultural traditions comes to the fore. This fascinating work explores in depth and at various levels the circumstances and mechanisms that shaped the transmission of a key work of science from one language and cultural context onto another. Consequently it offers often surprising insights into the ways of intercultural exchange and misunderstandings.
Download or read book Between Raphael and Galileo written by Alexander Marr and published by University of Chicago Press. This book was released on 2022-08-22 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although largely unknown today, during his lifetime Mutio Oddi of Urbino (1569–1639) was a highly esteemed scholar, teacher, and practitioner of a wide range of disciplines related to mathematics. A prime example of the artisan-scholar so prevalent in the late Renaissance, Oddi was also accomplished in the fields of civil and military architecture and the design and retail of mathematical instruments, as well as writing and publishing. In Between Raphael and Galileo, Alexander Marr resurrects the career and achievements of Oddi in order to examine the ways in which mathematics, material culture, and the book shaped knowledge, society, and the visual arts in late Renaissance Italy. Marr scrutinizes the extensive archive of Oddi papers, documenting Oddi’s collaboration with prominent intellectuals and officials and shedding new light on the practice of science and art during his day. What becomes clear is that Oddi, precisely because he was not spectacularly innovative and did not attain the status of a hero in modern science, is characteristic of the majority of scientific practitioners and educators active in this formative age, particularly those whose energetic popularization of mathematics laid the foundations for the Scientific Revolution. Marr also demonstrates that scientific change in this era was multivalent and contested, governed as much by friendship as by principle and determined as much by places as by purpose. Plunging the reader into Oddi’s world, Between Raphael and Galileo is a finely wrought and meticulously researched tale of science, art, commerce, and society in the late sixteenth and early seventeenth century. It will become required reading for any scholar interested in the history of science, visual art, and print culture of the Early Modern period.
Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-11-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Download or read book Scientific Sources and Teaching Contexts Throughout History Problems and Perspectives written by Alain Bernard and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the textual, social, cultural, practical and institutional environments to which the expression “teaching and learning contexts” refers. It reflects on the extent to which studying such environments helps us to better understand ancient or modern sources, and how notions of “teaching” and “learning” are to be understood. Tackling two problems: the first, is that of certain sources of scientific knowledge being studied without taking into account the various “contexts” of transmission that gave this knowledge a long-lasting meaning. The second is that other sources are related to teaching and learning activities, but without being too precise and demonstrative about the existence and nature of this “teaching context”. In other words, this book makes clear what is meant by “context” and highlights the complexity of the practice hidden by the words “teaching” and “learning”. Divided into three parts, the book makes accessible teaching and learning situations, presents comparatist approaches, and emphasizes the notion of teaching as projects embedded in coherent treatises or productions.
Download or read book Encyclopaedia of the History of Science Technology and Medicine in Non Westen Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.
Download or read book Encyclopaedia of the History of Science Technology and Medicine in Non Western Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2008-03-12 with total page 2428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, at last, is the massively updated and augmented second edition of this landmark encyclopedia. It contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You’ll also find material on religion and science, East and West, and magic and science.
Download or read book The Topkapi Scroll written by Gülru Necipoğlu and published by Getty Publications. This book was released on 1996-03-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.
Download or read book The Arts of Ornamental Geometry written by and published by BRILL. This book was released on 2017-08-28 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416
