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Mathematics Celestial And Terrestrial
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Book Synopsis Heavenly Mathematics by : Glen Van Brummelen
Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2013 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegent proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries. -- Jacket.
Book Synopsis The Cambridge History of Philosophy of the Scientific Revolution by : David Marshall Miller
Download or read book The Cambridge History of Philosophy of the Scientific Revolution written by David Marshall Miller and published by . This book was released on 2022-01-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of cutting-edge scholarship on the close interaction of philosophy with science at the birth of the modern age.
Book Synopsis Sourcebook in the Mathematics of Medieval Europe and North Africa by : Victor J. Katz
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.
Book Synopsis Selected Essays on Pre- and Early Modern Mathematical Practice by : Jens Høyrup
Download or read book Selected Essays on Pre- and Early Modern Mathematical Practice written by Jens Høyrup and published by Springer Nature. This book was released on 2019-09-20 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.
Book Synopsis VIII Hotine-Marussi Symposium on Mathematical Geodesy by : Nico Sneeuw
Download or read book VIII Hotine-Marussi Symposium on Mathematical Geodesy written by Nico Sneeuw and published by Springer. This book was released on 2016-05-18 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of peer-reviewed papers presented at the VIII Hotine-Marussi Symposium on Mathematical Geodesy in Rome, 17-21 June, 2013. The scientific sessions focused on global reference systems, geodetic data analysis, geopotential modelling, gravity field mapping as well as digital terrain modelling. A special chapter is dedicated to understand the generation of Flash.
Book Synopsis Visual Culture and Mathematics in the Early Modern Period by : Ingrid Alexander-Skipnes
Download or read book Visual Culture and Mathematics in the Early Modern Period written by Ingrid Alexander-Skipnes and published by Taylor & Francis. This book was released on 2017-01-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the early modern period there was a natural correspondence between how artists might benefit from the knowledge of mathematics and how mathematicians might explore, through advances in the study of visual culture, new areas of enquiry that would uncover the mysteries of the visible world. This volume makes its contribution by offering new interdisciplinary approaches that not only investigate perspective but also examine how mathematics enriched aesthetic theory and the human mind. The contributors explore the portrayal of mathematical activity and mathematicians as well as their ideas and instruments, how artists displayed their mathematical skills and the choices visual artists made between geometry and arithmetic, as well as Euclid’s impact on drawing, artistic practice and theory. These chapters cover a broad geographical area that includes Italy, Switzerland, Germany, the Netherlands, France and England. The artists, philosophers and mathematicians whose work is discussed include Leon Battista Alberti, Nicholas Cusanus, Marsilio Ficino, Francesco di Giorgio, Leonardo da Vinci and Andrea del Verrocchio, as well as Michelangelo, Galileo, Piero della Francesca, Girard Desargues, William Hogarth, Albrecht Dürer, Luca Pacioli and Raphael.
Book Synopsis The Riemann Hypothesis in Characteristic p in Historical Perspective by : Peter Roquette
Download or read book The Riemann Hypothesis in Characteristic p in Historical Perspective written by Peter Roquette and published by Springer. This book was released on 2018-09-28 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.
Book Synopsis The Scientific Revolution by : Steven Shapin
Download or read book The Scientific Revolution written by Steven Shapin and published by University of Chicago Press. This book was released on 2018-11-05 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scholarly and accessible study presents “a provocative new reading” of the late sixteenth- and seventeenth-century advances in scientific inquiry (Kirkus Reviews). In The Scientific Revolution, historian Steven Shapin challenges the very idea that any such a “revolution” ever took place. Rejecting the narrative that a new and unifying paradigm suddenly took hold, he demonstrates how the conduct of science emerged from a wide array of early modern philosophical agendas, political commitments, and religious beliefs. In this analysis, early modern science is shown not as a set of disembodied ideas, but as historically situated ways of knowing and doing. Shapin shows that every principle identified as the modernizing essence of science—whether it’s experimentalism, mathematical methodology, or a mechanical conception of nature—was in fact contested by sixteenth- and seventeenth-century practitioners with equal claims to modernity. Shapin argues that this contested legacy is nevertheless rightly understood as the origin of modern science, its problems as well as its acknowledged achievements. This updated edition includes a new bibliographic essay featuring the latest scholarship. “An excellent book.” —Anthony Gottlieb, New York Times Book Review
Book Synopsis Essays by Members of the Birmingham Speculative Club by : Birmingham Speculative Club
Download or read book Essays by Members of the Birmingham Speculative Club written by Birmingham Speculative Club and published by . This book was released on 1870 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in History and Philosophy of Mathematics by : Maria Zack
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2022-05-25 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eleven papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics. Topics considered include The mathematics and astronomy in Nathaniel Torperly’s only published work, Diclides Coelometricae, seu valvae astronomicae universal Connections between the work of Urbain Le Verrier, Carl Gustav Jacob Jacobi, and Augustin-Louis Cauchy on the algebraic eigenvalue problem An evaluation of Ken Manders’ argument against conceiving of the diagrams in Euclid’s Elements in semantic terms The development of undergraduate modern algebra courses in the United States Ways of using the history of mathematics to teach the foundations of mathematical analysis Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Book Synopsis Pull Of History, The: Human Understanding Of Magnetism And Gravity Through The Ages by : Yamamoto Yoshitaka
Download or read book Pull Of History, The: Human Understanding Of Magnetism And Gravity Through The Ages written by Yamamoto Yoshitaka and published by World Scientific. This book was released on 2017-12-28 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to understand what bring to pass the birth of modern physics by focusing upon the formation of the concept of force. This would be the first book to note the important role magnetism has played in this process. Indeed, the force between celestial bodies, before the introduction of the Isaac Newtonian gravitational force, is first introduced by Johannes Kepler by analogy with the magnetic force. Moreover, this book, by concentrating our attention on the magnetism, fully describes the developments and the recognition of the force concept during the Middle Ages. The detailed description of the Middle Ages and the Renaissance is a strong point of this book. By discussing and emphasizing on the role accomplished by the magnetic force, this book makes clear the connection between the natural magic and the modern experimental physics. This book will open up a new aspect of the birth of modern physics. Contents: PrefaceIntroductionAntiquity and the Middle Ages: Ancient Greece: The Science of Magnetism is BornThe Hellenistic AgeThe Days of the Roman EmpireChristianity in the Middle AgesThe Discovery of Magnetic DirectionalityThomas Aquinas and His Understanding of MagnetismRoger Bacon and the Propagation of Magnetic ForcePetrus Peregrinus and His Letter Concerning the MagnetRenaissance: Nicolaus Cusanus and the Quantification of Magnetic ForceThe Rediscovery of Things Ancient: Magic in the Early Renaissance PeriodThe Age of Exploration and the Discovery of Magnetic DeclinationRobert Norman and The Newe AttractiveMining and the Continued Peculiarity of MagnetismParacelsus and Magnet TherapyChanges in Magical Thought during the Late RenaissanceDella Porta's Investigations into MagnetismThe Dawn of the Modern Age: William Gilbert's On the MagnetJohannes Kepler and the Magnetical PhilosophySeventeenth-century Mechanism and Notions of ForceRobert Boyle and the Transformation of Mechanism in BritainMagnetism and Gravity: Hooke and NewtonEpilogue: Ascertaining the Laws of Magnetic ForceNotesBibliography Readership: History students, philosophy students, general public. Keywords: History;Magnetism;Philosophy;Greek;Modern PhysicsReview:0
Book Synopsis Mathematical Geography by : Willis Ernest Johnson
Download or read book Mathematical Geography written by Willis Ernest Johnson and published by . This book was released on 1907 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : V.I. Arnold
Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989
Book Synopsis A Companion to Descartes by : Janet Broughton
Download or read book A Companion to Descartes written by Janet Broughton and published by John Wiley & Sons. This book was released on 2010-11-08 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of more than 30 specially commissioned essays, this volume surveys the work of the 17th-century philosopher-scientist commonly regarded as the founder of modern philosophy, while integrating unique essays detailing the context and impact of his work. Covers the full range of historical and philosophical perspectives on the work of Descartes Discusses his seminal contributions to our understanding of skepticism, mind-body dualism, self-knowledge, innate ideas, substance, causality, God, and the nature of animals Explores the philosophical significance of his contributions to mathematics and science Concludes with a section on the impact of Descartes's work on subsequent philosophers
Book Synopsis Mathematics Across Cultures by : Helaine Selin
Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Book Synopsis Pike's Illustrated Descriptive Catalogue of Optical, Mathematical, and Philosophical Instruments, Manufactured, Imported, and Sold by the Author by : Benjamin Pike
Download or read book Pike's Illustrated Descriptive Catalogue of Optical, Mathematical, and Philosophical Instruments, Manufactured, Imported, and Sold by the Author written by Benjamin Pike and published by . This book was released on 1856 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Companion to Science, Technology, and Medicine in Ancient Greece and Rome by : Georgia L. Irby
Download or read book A Companion to Science, Technology, and Medicine in Ancient Greece and Rome written by Georgia L. Irby and published by John Wiley & Sons. This book was released on 2016-01-19 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Companion to Science, Technology, and Medicine in Ancient Greece and Rome brings a fresh perspective to the study of these disciplines in the ancient world, with 60 chapters examining these topics from a variety of critical and technical perspectives. Brings a fresh perspective to the study of science, technology, and medicine in the ancient world, with 60 chapters examining these topics from a variety of critical and technical perspectives Begins coverage in 600 BCE and includes sections on the later Roman Empire and beyond, featuring discussion of the transmission and reception of these ideas into the Renaissance Investigates key disciplines, concepts, and movements in ancient science, technology, and medicine within the historical, cultural, and philosophical contexts of Greek and Roman society Organizes its content in two halves: the first focuses on mathematical and natural sciences; the second focuses on cultural applications and interdisciplinary themes 2 Volumes
