Download or read book Motion and Genetic Definitions in the Sixteenth Century Euclidean Tradition written by Angela Axworthy and published by Springer Nature. This book was released on 2022-06-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing importance of genetic definitions in sixteenth-century commentaries on Euclid’s Elements has been underlined, the place, uses and status of motion in this geometrical tradition has however never been thoroughly and comprehensively studied. This book therefore undertakes to fill a gap in the history of early modern geometry and philosophy of mathematics by investigating the different treatments of motion and genetic definitions by seven major sixteenth-century commentators on Euclid’s Elements, from Oronce Fine (1494–1555) to Christoph Clavius (1538–1612), including Jacques Peletier (1517–1582), John Dee (1527–1608/1609) and Henry Billingsley (d. 1606), among others. By investigating the ontological and epistemological conceptions underlying the introduction and uses of kinematic notions in their interpretation of Euclidean geometry, this study displays the richness of the conceptual framework, philosophical and mathematical, inherent to the sixteenth-century Euclidean tradition and shows how it contributed to a more generalised acceptance and promotion of kinematic approaches to geometry in the early modern period.
Download or read book On Joachim Jungius Textur Contemplatio written by Michael Friedman and published by Springer Nature. This book was released on 2024-01-28 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an analysis of Joachim Jungius’ Texturæ Contemplatio - a hitherto-unpublished manuscript written in German and Latin that deals with weaving, knitting and other textile practices, attempting to present as well various fabrics and textile techniques in a scientifical and even mathematical framework. The book aims to provide the epistemological, technical and historic framework for Jungius’ manuscript, inspecting fabrics, weaving techniques as well as looms and other textile machines in Holy Roman Empire during the Early Modern Period. It also offers a unique investigation of the notion and metaphor of ‘texture’ during this period, and explores, within the wider context of the ‘meeting’ or ‘trading zones’ thesis, the relations between artisans and natural philosophers during the 17th century. The book is of interest to historians of philosophy and mathematics, as well as historians of technology.
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 De Sphaera of Johannes de Sacrobosco in the Early Modern Period written by Matteo Valleriani and published by Springer Nature. This book was released on 2020-01-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book explores commentaries on an influential text of pre-Copernican astronomy in Europe. It features essays that take a close look at key intellectuals and how they engaged with the main ideas of this qualitative introduction to geocentric cosmology. Johannes de Sacrobosco compiled his Tractatus de sphaera during the thirteenth century in the frame of his teaching activities at the then recently founded University of Paris. It soon became a mandatory text all over Europe. As a result, a tradition of commentaries to the text was soon established and flourished until the second half of the 17th century. Here, readers will find an informative overview of these commentaries complete with a rich context. The essays explore the educational and social backgrounds of the writers. They also detail how their careers developed after the publication of their commentaries, the institutions and patrons they were affiliated with, what their agenda was, and whether and how they actually accomplished it. The editor of this collection considers these scientific commentaries as genuine scientific works. The contributors investigate them here not only in reference to the work on which it comments but also, and especially, as independent scientific contributions that are socially, institutionally, and intellectually contextualized around their authors.
Download or read book Aesch Mezareph written by William Wynn Westcott and published by Lulu.com. This book was released on 2018-10-29 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?sch Mezareph or Ash Metzareph, is only known to persons of Western Culture from the Latin Translation found in a fragmentary condition in the work entitled Kabalah Denudata by Knorr von Rosenroth, published at Sulzbach in 1677-84. These volumes have as a sub-title ?The Transcendental, Metaphysical and Theological Doctrines of the Hebrews?, and they enshrine a Latin translation, with part of the Hebrew text and commentaries, of the great Sohar or ZOHAR, ?The Book of Splendour? which is the most famous of all the Hebrew mystical codices of the Kabalah. Sapere Aude?
Download or read book Passion of the Western Mind written by Richard Tarnas and published by Ballantine Books. This book was released on 2011-10-19 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[This] magnificent critical survey, with its inherent respect for both the 'Westt's mainstream high culture' and the 'radically changing world' of the 1990s, offers a new breakthrough for lay and scholarly readers alike....Allows readers to grasp the big picture of Western culture for the first time." SAN FRANCISCO CHRONICLE Here are the great minds of Western civilization and their pivotal ideas, from Plato to Hegel, from Augustine to Nietzsche, from Copernicus to Freud. Richard Tarnas performs the near-miracle of describing profound philosophical concepts simply but without simplifying them. Ten years in the making and already hailed as a classic, THE PASSION OF THE WESERN MIND is truly a complete liberal education in a single volume.
Download or read book Seeing Like a State written by James C. Scott and published by Yale University Press. This book was released on 2020-03-17 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the most profound and illuminating studies of this century to have been published in recent decades.”—John Gray, New York Times Book Review Hailed as “a magisterial critique of top-down social planning” by the New York Times, this essential work analyzes disasters from Russia to Tanzania to uncover why states so often fail—sometimes catastrophically—in grand efforts to engineer their society or their environment, and uncovers the conditions common to all such planning disasters. “Beautifully written, this book calls into sharp relief the nature of the world we now inhabit.”—New Yorker “A tour de force.”— Charles Tilly, Columbia University
Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Download or read book Axiomatic Method and Category Theory written by Andrei Rodin and published by Springer Science & Business Media. This book was released on 2013-10-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.
Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Download or read book International Encyclopedia of Unified Science written by Otto Neurath and published by . This book was released on 1938 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Impossibility of Squaring the Circle in the 17th Century written by Davide Crippa and published by Springer. This book was released on 2019-03-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Download or read book The Archaeology of Knowledge written by Michel Foucault and published by Vintage. This book was released on 2012-07-11 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Madness, sexuality, power, knowledge—are these facts of life or simply parts of speech? In a series of works of astonishing brilliance, historian Michel Foucault excavated the hidden assumptions that govern the way we live and the way we think. The Archaeology of Knowledge begins at the level of "things aid" and moves quickly to illuminate the connections between knowledge, language, and action in a style at once profound and personal. A summing up of Foucault's own methadological assumptions, this book is also a first step toward a genealogy of the way we live now. Challenging, at times infuriating, it is an absolutey indispensable guide to one of the most innovative thinkers of our time.
Download or read book World Development Report 2009 written by World Bank and published by World Bank Publications. This book was released on 2008-11-04 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rising densities of human settlements, migration and transport to reduce distances to market, and specialization and trade facilitated by fewer international divisions are central to economic development. The transformations along these three dimensions density, distance, and division are most noticeable in North America, Western Europe, and Japan, but countries in Asia and Eastern Europe are changing in ways similar in scope and speed. 'World Development Report 2009: Reshaping Economic Geography' concludes that these spatial transformations are essential, and should be encouraged. The conclusion is not without controversy. Slum-dwellers now number a billion, but the rush to cities continues. Globalization is believed to benefit many, but not the billion people living in lagging areas of developing nations. High poverty and mortality persist among the world's 'bottom billion', while others grow wealthier and live longer lives. Concern for these three billion often comes with the prescription that growth must be made spatially balanced. The WDR has a different message: economic growth is seldom balanced, and efforts to spread it out prematurely will jeopardize progress. The Report: documents how production becomes more concentrated spatially as economies grow. proposes economic integration as the principle for promoting successful spatial transformations. revisits the debates on urbanization, territorial development, and regional integration and shows how today's developers can reshape economic geography.
Download or read book Introduction and books 1 2 written by Euclid and published by . This book was released on 1908 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Institutionalization of Science in Early Modern Europe written by Mordechai Feingold and published by BRILL. This book was released on 2019-11-26 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to furnish a broader framework for analyzing the scientific and institutional context that gave rise to scientific academies in Europe—including the Accademia del Cimento in Florence; the Royal Society in London; the Académie Royale des Sciences in Paris; and the Academia naturae curiosorum in Schweinfurt. The essays detail the multiple backgrounds that prompted seventeenth-century savants—from Italy to England, and from Poland to Portugal—to establish new forms of scientific organizations, in which to institutionalize collaborative research as well as modes of communication with like-minded individuals and associations.
Download or read book Perspectives on the Teaching of Geometry for the 21st Century written by C. Mammana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.
