William Oughtred A Great Seventeenth Century Teacher Of Mathematics

Author : Florian Cajori
Publisher : Good Press
Page : 93 pages
File Size : 53,8 Mb
Release : 2023-10-25
Category : Mathematics
ISBN : EAN:8596547605447

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William Oughtred: A Great Seventeenth-Century Teacher of Mathematics by Florian Cajori Pdf

"William Oughtred: A Great Seventeenth-Century Teacher of Mathematics" by Florian Cajori is an extensive and insightful biography that brings to life the remarkable mathematician William Oughtred. Within its pages, Cajori skillfully navigates the life and achievements of Oughtred, offering readers a profound understanding of his contributions to the world of mathematics. This biography not only serves as a tribute to Oughtred's legacy but also as a window into the intellectual landscape of the seventeenth century. Cajori's meticulous research and narrative expertise provide a captivating journey through the life and times of this influential mathematician, shedding light on his enduring impact on mathematical thought and education. For those intrigued by the history of mathematics and the individuals who shaped it, this book is an indispensable resource.

Author : Cajori Florian
Publisher : Unknown
Page : 128 pages
File Size : 54,8 Mb
Release : 1901
Category : Electronic
ISBN : 0259619426

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William Oughtred by Cajori Florian Pdf

Author : Cajori
Publisher : Palala Press
Page : 108 pages
File Size : 48,6 Mb
Release : 2016-05-16
Category : Electronic
ISBN : 1356702430

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William Oughtred, a Great Seventeenth-Century Teacher of Mathematics by Cajori Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Florian Cajoli
Publisher : Unknown
Page : 106 pages
File Size : 43,6 Mb
Release : 2020-01-04
Category : Electronic
ISBN : 1655531891

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William Oughtred by Florian Cajoli Pdf

The story of William Oughtred is told by Professor Cajori in a delightful and entertaining manner. Oughtred's life covers the last quarter of the sixteenth century and the first half and part of the third quarter of the seventeenth century. This period in the history of mathematics is of particular significance because the wider dissemination and diffusion of mathematical knowledge during this time undoubtedly paved the way for the revolutionary developments of mathematics which took place in the seventeenth century. Mathematics is indeed a study which requires that its devotee withdraw himself from the world of affairs for reflection and meditation; however the great advances in this subject have been made at those times when large numbers of individuals were devoting themselves to the science. Such a time was this in which Oughtred lived. In England and in France there were many not connected with institutions of learning, men like Oughtred, like Napier, Vieta, Fermat and Descartes, who devoted themselves to the study of mathematics entirely because of an intellectual interest in the subject. Oughtred's devotion to the science was unbounded; not only did he instruct many in the "difficult poynts of the Art" gratis, but to certain specially gifted students he gave at the same time both bed and board.The three principal works published by Oughtred are the Clavis Mathematicae of 1631, the Trigonometria of 1657, and The Circles of Proportion of 1632. All three works are of real importance in the development of elementary mathematics. The first work, which like the others is extremely concise, treats particularly of the numerical solution of equations; the Trigonometria and the Clavis, The Key of the Mathematics as it was called in the English translation of 1647, are in advance of many contemporary mathematical works in the generous use of algebraic symbolism; The Circles of Proportion discusses the slide rule, of which, as has been proved by Professor Cajori, Oughtred was the inventor. Among his minor works several relate to the theory of mathematical instruments designed by Oughtred. These works enjoyed a wide popularity.

Author : Florian Cajori
Publisher : CreateSpace
Page : 106 pages
File Size : 41,8 Mb
Release : 2015-10-17
Category : Electronic
ISBN : 1518673015

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William Oughtred by Florian Cajori Pdf

William Oughtred was a seventeenth-century divine who followed mathematics as a pastime. He taught mathematics to a select number of pupils, one of whom was Christopher Wren; he wrote "Clavis mathematicae," a work studied by Isaac Newton, and he invented a number of mathematical instruments, among them, the slide rule. Professor Cajori, professor of mathematics in Colorado College, has written a sketch of his life with a summary of his published works and other achievements. -Book Review Digest, Volume 12 [1917]

Author : Katherine Ellison,Susan Kim
Publisher : Routledge
Page : 346 pages
File Size : 54,8 Mb
Release : 2017-09-14
Category : Literary Criticism
ISBN : 9781351973076

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A Material History of Medieval and Early Modern Ciphers by Katherine Ellison,Susan Kim Pdf

The first cultural history of early modern cryptography, this collection brings together scholars in history, literature, music, the arts, mathematics, and computer science who study ciphering and deciphering from new materialist, media studies, cognitive studies, disability studies, and other theoretical perspectives. Essays analyze the material forms of ciphering as windows into the cultures of orality, manuscript, print, and publishing, revealing that early modern ciphering, and the complex history that preceded it in the medieval period, not only influenced political and military history but also played a central role in the emergence of the capitalist media state in the West, in religious reformation, and in the scientific revolution. Ciphered communication, whether in etched stone and bone, in musical notae, runic symbols, polyalphabetic substitution, algebraic equations, graphic typographies, or literary metaphors, took place in contested social spaces and offered a means of expression during times of political, economic, and personal upheaval. Ciphering shaped the early history of linguistics as a discipline, and it bridged theological and scientific rhetoric before and during the Reformation. Ciphering was an occult art, a mathematic language, and an aesthetic that influenced music, sculpture, painting, drama, poetry, and the early novel. This collection addresses gaps in cryptographic history, but more significantly, through cultural analyses of the rhetorical situations of ciphering and actual solved and unsolved medieval and early modern ciphers, it traces the influences of cryptographic writing and reading on literacy broadly defined as well as the cultures that generate, resist, and require that literacy. This volume offers a significant contribution to the history of the book, highlighting the broader cultural significance of textual materialities.

Author : John Fauvel,Raymond Flood,Robin Wilson
Publisher : OUP Oxford
Page : 352 pages
File Size : 47,7 Mb
Release : 2013-09-19
Category : Mathematics
ISBN : 9780191504198

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Oxford Figures by John Fauvel,Raymond Flood,Robin Wilson Pdf

This is the story of the intellectual and social life of a community, and of its interactions with the wider world. For eight centuries mathematics has been researched and studied at Oxford, and the subject and its teaching have undergone profound changes during that time. This highly readable and beautifully illustrated book reveals the richness and influence of Oxford's mathematical tradition and the fascinating characters that helped to shape it. The story begins with the founding of the University of Oxford and the establishing of the medieval curriculum, in which mathematics had an important role. The Black Death, the advent of printing, the Civil War, and the Newtonian revolution all had a great influence on the development of mathematics at Oxford. So too did many well-known figures: Roger Bacon, Henry Savile, Robert Hooke, Christopher Wren, Edmond Halley, Florence Nightingale, Charles Dodgson (Lewis Carroll), and G. H. Hardy, to name but a few. Later chapters bring us to the 20th century, with some entertaining reminiscences by Sir Michael Atiyah of the thirty years he spent as an Oxford mathematician. In this second edition the story is brought right up to the opening of the new Mathematical Institute in 2013 with a foreword from Marcus du Sautoy and recent developments from Peter M. Neumann.

Author : Amir R. Alexander
Publisher : Stanford University Press
Page : 318 pages
File Size : 46,5 Mb
Release : 2002
Category : Science
ISBN : 0804732604

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Geometrical Landscapes by Amir R. Alexander Pdf

This challenging book argues that a new way of speaking of mathematics and describing it emerged at the end of the 16th century. Leading mathematicians began referring to their field in terms drawn from the exploration accounts of Columbus and Magellan. Many of those who promoted the vision of mathematics as heroic exploration also played central roles in developing the most important mathematical innovation of the period?the infinitesimal methods, which the author shows was no coincidence.

Author : Helena M. Pycior
Publisher : Cambridge University Press
Page : 40 pages
File Size : 41,6 Mb
Release : 1997-05-13
Category : Mathematics
ISBN : 0521481244

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Symbols, Impossible Numbers, and Geometric Entanglements by Helena M. Pycior Pdf

Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolical style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a "test-group" for the symbolic reasoning that would radically change not only mathematics but also logic, philosophy, and language studies. The book also shows how pedagogical and religious concerns shaped the British debate over the relative merits of algebra and geometry. The first book to position algebra firmly in the Scientific Revolution and pursue Newton the algebraist, it highlights Newton's role in completing the evolution of algebra from an esoteric subject into a major focus of British mathematics. Other thinkers covered include Oughtred, Harriot, Wallis, Hobbes, Barrow, Berkeley, and MacLaurin.

Author : Mordechai Feingold
Publisher : CUP Archive
Page : 266 pages
File Size : 40,8 Mb
Release : 1984
Category : History
ISBN : 0521251338

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The Mathematician's Apprenticeship by Mordechai Feingold Pdf

Author : Marcus P. Adams
Publisher : John Wiley & Sons
Page : 544 pages
File Size : 43,9 Mb
Release : 2021-10-08
Category : Philosophy
ISBN : 9781119635031

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A Companion to Hobbes by Marcus P. Adams Pdf

Offers comprehensive treatment of Thomas Hobbes’s thought, providing readers with different ways of understanding Hobbes as a systematic philosopher As one of the founders of modern political philosophy, Thomas Hobbes is best known for his ideas regarding the nature of legitimate government and the necessity of society submitting to the absolute authority of sovereign power. Yet Hobbes produced a wide range of writings, from translations of texts by Homer and Thucydides, to interpretations of Biblical books, to works devoted to geometry, optics, morality, and religion. Hobbes viewed himself as presenting a unified method for theoretical and practical science—an interconnected system of philosophy that provides many entry points into his thought. A Companion to Hobbes is an expertly curated collection of essays offering close textual engagement with the thought of Thomas Hobbes in his major works while probing his ideas regarding natural philosophy, mathematics, human nature, civil philosophy, religion, and more. The Companion discusses the ways in which scholars have tried to understand the unity and diversity of Hobbes’s philosophical system and examines the reception of the different parts of Hobbes’s philosophy by thinkers such as René Descartes, Margaret Cavendish, David Hume, and Immanuel Kant. Presenting a diversity of fresh perspectives by both emerging and established scholars, this volume: Provides a comprehensive treatment of Hobbes’s thought in his works, including Elements of Law, Elements of Philosophy, and Leviathan Explores the connecting points between Hobbes’ metaphysics, epistemology, mathematics, natural philosophy, morality, and civil philosophy Offers readers strategies for understanding how the parts of Hobbes’s philosophical system fit together Examines Hobbes’s philosophy of mathematics and his attempts to understand geometrical objects and definitions Considers Hobbes’s philosophy in contexts such as the natural state of humans, gender relations, and materialist worldviews Challenges conceptions of Hobbes’s moral theory and his views about the rights of sovereigns Part of the acclaimed Blackwell Companions to Philosophy series, A Companion to Hobbes is an invaluable resource for scholars and advanced students of Early modern thought, particularly those from disciplines such as History of Philosophy, Political Philosophy, Intellectual History, History of Politics, Political Theory, and English.

Author : Michelle Selinger
Publisher : Routledge
Page : 260 pages
File Size : 46,5 Mb
Release : 2013-10-31
Category : Education
ISBN : 9781136148842

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Teaching Mathematics by Michelle Selinger Pdf

In this reader, maths teachers in the early years of their careers will find a concise yet comprehensive guide to developments in mathematics teaching in secondary schools and the controversies which currently surround it. After a brief summary of the historical context, a series of short articles provides a range of perspectives on various issues of current debate which will help new teachers in the development of their own teaching styles. These include the impact of computers and calculators in maths teaching, the various arguments about the use of published schemes and for more investigational approaches to the curriculum, and the way in which social and cultural factors can be approached through the teaching of various topics in mathematics. The final section looks at how teachers might continue their professional development through action research in their own classrooms.

Author : Eli Maor
Publisher : Princeton University Press
Page : 252 pages
File Size : 55,9 Mb
Release : 2011-12-20
Category : Mathematics
ISBN : 9781400842827

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Trigonometric Delights by Eli Maor Pdf

Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights. Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : American Mathematical Society
Page : 399 pages
File Size : 54,7 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781470470036

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Sherlock Holmes in Babylon and Other Tales of Mathematical History by Marlow Anderson,Victor Katz,Robin Wilson Pdf

Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.

Author : David Pimm
Publisher : Routledge
Page : 235 pages
File Size : 40,9 Mb
Release : 2002-11
Category : Education
ISBN : 9781134823666

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Symbols and Meanings in School Mathematics by David Pimm Pdf

This timely book explores the various uses and aspects of symbols in school mathematics and the notion of mathematical meaning. In addition, the author addresses a number of key issues for the 1990s eg.changes within mathematical functioning.