Benjamin Wardhaugh – författare
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49 produkter
49 produkter
Häftad, Engelska, 2024
214 kr
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SHORTLISTED FOR THE BRITISH SOCIETY FOR THE HISTORY OF SCIENCE PRIZE 2025 SHORTLISTED FOR THE NEUMANN PRIZE 2025 WHAT DOES IT MEAN TO COUNT? WHY ARE HUMANS THE ONLY SPECIES ON EARTH THAT CAN DO IT? WHERE DID COUNTING COME FROM? HOW HAS IT SHAPED SOCIETIES ALONG THE WAY? AND WHY DOES IT MATTER? Counting is an innovative, erudite, world-wrapping journey through humanity’s marvellous ability to impose numbers on things. Acclaimed historian and mathematician Benjamin Wardhaugh draws on stories from the Stone Age to cyberspace in pursuit of the elusive, fascinating, endlessly diverse history of human counting.Starting with the roots of counting in human brains, bodies and environments, Wardhaugh tours us around the world and through time while exploring the different flavours of counting that have developed over millennia. We meet the makers of bead necklaces in ancient South Africa, the inventors of writing in the world ’ s first metropolis, and the ‘counter culture’ of classical Athens. We see counting used – and changed – by Indian scholars, Chinese peasants and Papuan shopkeepers; we meet the distinctive numerate agendas of Mayan kings, US governments and Korean vloggers.Weaving these stories together, Wardhaugh shows how cultures have shaped counting, and how counting has shaped culture, in a rich tapestry spanning thousands of years. This is the vast story of human attempts to find some order in an unruly world; or, perhaps, to impose on a reluctant world the order that humans find within themselves. It is a history as wide, deep and tangled as that of humanity itself
Inbunden, Engelska, 2020
293 kr
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Euclid’s Elements of Geometry was a book that changed the world. In a sweeping history, Benjamin Wardhaugh traces how an ancient Greek text on mathematics – often hailed as the world’s first textbook – shaped two thousand years of art, philosophy and literature, as well as science and maths. Thirteen volumes of mathematical definitions, propositions and proofs. Writing in 300 BC, Euclid could not have known his logic would go unsurpassed until the nineteenth century, or that his writings were laying down the very foundations of human knowledge.Wardhaugh blasts the dust from Euclid’s legacy to offer not only a vibrant history of mathematics, told through people and invention, but also a broader story of culture. Telling stories from every continent, ranging between Ptolemy and Isaac Newton, Hobbes and Lewis Carrol, this is a history that dives from Ancient Greece to medieval Byzantium, early modern China, Renaissance Italy, the age of European empires, and our world today.How has geometry sat at the beating heart of sculpture, literature, music and thought? How can one unknowable figure of antiquity live through two millennia?
E-bok
Engelska, 2020100 kr
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‘An astonishingly readable and informative history of the greatest mathematical bestseller of all time … The writing is vivid and the stories are gripping. Highly recommended ’ IAN STEWART, AUTHOR OF SIGNIFICANT FIGURES Euclid’s Elements of Geometry was a book that changed the world. In this sweeping history, Benjamin Wardhaugh traces how the ancient Greek text on mathematics – often hailed as the world’s first textbook – shaped two thousand years of art, philosophy and literature, as well as science and maths.With stories of influence on every continent, and encounters with the likes of Ptolemy and Isaac Newton, Hobbes and Lewis Carroll, Wardhaugh gives dramatic life to the evolution of mathematics.Previously published as The Book of Wonders
Ljudbok
Engelska, 2020207 kr
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‘An astonishingly readable and informative history of the greatest mathematical bestseller of all time … The writing is vivid and the stories are gripping. Highly recommended ’ IAN STEWART, AUTHOR OF SIGNIFICANT FIGURESEuclid’s Elements of Geometry was a book that changed the world. In this sweeping history, Benjamin Wardhaugh traces how the ancient Greek text on mathematics – often hailed as the world’s first textbook – shaped two thousand years of art, philosophy and literature, as well as science and maths.With stories of influence on every continent, and encounters with the likes of Ptolemy and Isaac Newton, Hobbes and Lewis Carroll, Wardhaugh gives dramatic life to the evolution of mathematics.Previously published as The Book of Wonders
Häftad, Engelska, 2020
125 kr
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August, 1755. Newcastle, on the north bank of the Tyne. In the fields, men and women are getting the harvest in. Sunlight, or rain. Scudding clouds and backbreaking labour. Three hundred feet underground, young Charles Hutton is at the coalface. Cramped, dust-choked, wielding a five-pound pick by candlelight. Eighteen years old, he’s been down the pits on and off for more than a decade, and now it looks like a life sentence. No unusual story, although Charles is a clever lad – gifted at maths and languages – and for a time he hoped for a different life. Many hoped.Charles Hutton, astonishingly, would actually live the life he dreamed of. Twenty years later you’d have found him in Slaughter’s coffee house in London, eating a few oysters with the President of the Royal Society.By the time he died, in 1823, he was a fellow of scientific academies in four countries, while the Lord Chancellor of England counted himself fortunate to have known him. Hard work, talent, and no small share of luck would take Charles Hutton out of the pit to international fame, wealth, admiration and happiness. The pit-boy turned professor would become one of the most revered British scientists of his day. This book is his incredible story.
Ljudbok
Engelska, 2019221 kr
Lyssna direkt efter köp
August, 1755. Newcastle, on the north bank of the Tyne.In the fields, men and women are getting the harvest in. Sunlight, or rain. Scudding clouds and backbreaking labour. Three hundred feet underground, young Charles Hutton is at the coalface. Cramped, dust-choked, wielding a five-pound pick by candlelight. Eighteen years old, he’s been down the pits on and off for more than a decade, and now it looks like a life sentence. No unusual story, although Charles is a clever lad – gifted at maths and languages – and for a time he hoped for a different life. Many hoped.Charles Hutton, astonishingly, would actually live the life he dreamed of. Twenty years later you’d have found him in Slaughter’s coffee house in London, eating a few oysters with the President of the Royal Society.By the time he died, in 1823, he was a fellow of scientific academies in four countries, while the Lord Chancellor of England counted himself fortunate to have known him. Hard work, talent, and no small share of luck would take Charles Hutton out of the pit to international fame, wealth, admiration and happiness. The pit-boy turned professor would become one of the most revered British scientists of his day. This book is his incredible story.
Inbunden, Engelska, 2024
293 kr
Skickas
SHORTLISTED FOR THE BRITISH SOCIETY FOR THE HISTORY OF SCIENCE PRIZE 2025 SHORTLISTED FOR THE NEUMANN PRIZE 2025 WHAT DOES IT MEAN TO COUNT? WHY ARE HUMANS THE ONLY SPECIES ON EARTH THAT CAN DO IT? WHERE DID COUNTING COME FROM? HOW HAS IT SHAPED SOCIETIES ALONG THE WAY? AND WHY DOES IT MATTER? Counting is an innovative, erudite, world-wrapping journey through humanity’s marvellous ability to impose numbers on things. Acclaimed historian and mathematician Benjamin Wardhaugh draws on stories from the Stone Age to cyberspace in pursuit of the elusive, fascinating, endlessly diverse history of human counting.Starting with the roots of counting in human brains, bodies and environments, Wardhaugh tours us around the world and through time while exploring the different flavours of counting that have developed over millennia. We meet the makers of bead necklaces in ancient South Africa, the inventors of writing in the world ’ s first metropolis, and the ‘counter culture’ of classical Athens. We see counting used – and changed – by Indian scholars, Chinese peasants and Papuan shopkeepers; we meet the distinctive numerate agendas of Mayan kings, US governments and Korean vloggers.Weaving these stories together, Wardhaugh shows how cultures have shaped counting, and how counting has shaped culture, in a rich tapestry spanning thousands of years. This is the vast story of human attempts to find some order in an unruly world; or, perhaps, to impose on a reluctant world the order that humans find within themselves. It is a history as wide, deep and tangled as that of humanity itself
E-bok
Engelska, 2024100 kr
Läs direkt efter köp
SHORTLISTED FOR THE BRITISH SOCIETY FOR THE HISTORY OF SCIENCE PRIZE 2025 SHORTLISTED FOR THE NEUMANN PRIZE 2025 WHAT DOES IT MEAN TO COUNT? WHY ARE HUMANS THE ONLY SPECIES ON EARTH THAT CAN DO IT? WHERE DID COUNTING COME FROM? HOW HAS IT SHAPED SOCIETIES ALONG THE WAY? AND WHY DOES IT MATTER? Counting is an innovative, erudite, world-wrapping journey through humanity’s marvellous ability to impose numbers on things. Acclaimed historian and mathematician Benjamin Wardhaugh draws on stories from the Stone Age to cyberspace in pursuit of the elusive, fascinating, endlessly diverse history of human counting.Starting with the roots of counting in human brains, bodies and environments, Wardhaugh tours us around the world and through time while exploring the different flavours of counting that have developed over millennia. We meet the makers of bead necklaces in ancient South Africa, the inventors of writing in the world ’ s first metropolis, and the ‘counter culture’ of classical Athens. We see counting used – and changed – by Indian scholars, Chinese peasants and Papuan shopkeepers; we meet the distinctive numerate agendas of Mayan kings, US governments and Korean vloggers.Weaving these stories together, Wardhaugh shows how cultures have shaped counting, and how counting has shaped culture, in a rich tapestry spanning thousands of years. This is the vast story of human attempts to find some order in an unruly world; or, perhaps, to impose on a reluctant world the order that humans find within themselves. It is a history as wide, deep and tangled as that of humanity itself
Ljudbok
Engelska, 2024202 kr
Lyssna direkt efter köp
WHAT DOES IT MEAN TO COUNT? WHY ARE HUMANS THE ONLY SPECIES ON EARTH THAT CAN DO IT? WHERE DID COUNTING COME FROM? HOW HAS IT SHAPED SOCIETIES ALONG THE WAY? AND WHY DOES IT MATTER?Counting is an innovative, erudite, world-wrapping journey through humanity’s marvellous ability to impose numbers on things. Acclaimed historian and mathematician Benjamin Wardhaugh draws on stories from the Stone Age to cyberspace in pursuit of the elusive, fascinating, endlessly diverse history of human counting.Starting with the roots of counting in human brains, bodies and environments, Wardhaugh tours us around the world and through time while exploring the different flavours of counting that have developed over millennia. We meet the makers of bead necklaces in ancient South Africa, the inventors of writing in the world ’ s first metropolis, and the ‘counter culture’ of classical Athens. We see counting used – and changed – by Indian scholars, Chinese peasants and Papuan shopkeepers; we meet the distinctive numerate agendas of Mayan kings, US governments and Korean vloggers.Weaving these stories together, Wardhaugh shows how cultures have shaped counting, and how counting has shaped culture, in a rich tapestry spanning thousands of years. This is the vast story of human attempts to find some order in an unruly world; or, perhaps, to impose on a reluctant world the order that humans find within themselves. It is a history as wide, deep and tangled as that of humanity itself
Häftad, Engelska, 2025
156 kr
Skickas
SHORTLISTED FOR THE BRITISH SOCIETY FOR THE HISTORY OF SCIENCE PRIZE 2025 SHORTLISTED FOR THE NEUMANN PRIZE 2025 WHAT DOES IT MEAN TO COUNT? WHY ARE HUMANS THE ONLY SPECIES ON EARTH THAT CAN DO IT? WHERE DID COUNTING COME FROM? HOW HAS IT SHAPED SOCIETIES ALONG THE WAY? AND WHY DOES IT MATTER? Counting is an innovative, erudite, world-wrapping journey through humanity’s marvellous ability to impose numbers on things. Acclaimed historian and mathematician Benjamin Wardhaugh draws on stories from the Stone Age to cyberspace in pursuit of the elusive, fascinating, endlessly diverse history of human counting.Starting with the roots of counting in human brains, bodies and environments, Wardhaugh tours us around the world and through time while exploring the different flavours of counting that have developed over millennia. We meet the makers of bead necklaces in ancient South Africa, the inventors of writing in the world ’ s first metropolis, and the ‘counter culture’ of classical Athens. We see counting used – and changed – by Indian scholars, Chinese peasants and Papuan shopkeepers; we meet the distinctive numerate agendas of Mayan kings, US governments and Korean vloggers.Weaving these stories together, Wardhaugh shows how cultures have shaped counting, and how counting has shaped culture, in a rich tapestry spanning thousands of years. This is the vast story of human attempts to find some order in an unruly world; or, perhaps, to impose on a reluctant world the order that humans find within themselves. It is a history as wide, deep and tangled as that of humanity itself
E-bok
PDF, Engelska, 201264 kr
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Author, astrologer, journalist, satirist, and ''well-willer to the mathematics'', Poor Robin of Saffron Walden was a fantastic, yet invented, figure of British popular culture from the Restoration to the end of the Georgian period. Poor Robin''s Almanac first appeared in 1662, developing an enthusiastic following and long outliving its original creator to last until 1828.Benjamin Wardhaugh tells the great story of Georgian popular mathematics - through Poor Robin''s remarkable life, from his humble beginnings as an almanac-writer through to best-selling stardom, controversy, and decline. Using the character, wit, and columns of Poor Robin, Wardhaugh explores the mathematics of ordinary people, from learning sums to using mathematics in weighing and measuring, in business, agriculture, map-making, and navigation.This is a history of mathematics that is rarely thought about — creative, popular, and led by practical and social needs. It is centered on the ordinary people that used it. Their names remain little-known; their solutions have vanished along with the situations that required them; but their energy and ideas - as captured by Poor Robin - create a wonderfully rich picture of what mathematics can be, and has been.
E-bok
Engelska, 201264 kr
Läs direkt efter köp
Author, astrologer, journalist, satirist, and ''well-willer to the mathematics'', Poor Robin of Saffron Walden was a fantastic, yet invented, figure of British popular culture from the Restoration to the end of the Georgian period. Poor Robin''s Almanac first appeared in 1662, developing an enthusiastic following and long outliving its original creator to last until 1828.Benjamin Wardhaugh tells the great story of Georgian popular mathematics - through Poor Robin''s remarkable life, from his humble beginnings as an almanac-writer through to best-selling stardom, controversy, and decline. Using the character, wit, and columns of Poor Robin, Wardhaugh explores the mathematics of ordinary people, from learning sums to using mathematics in weighing and measuring, in business, agriculture, map-making, and navigation.This is a history of mathematics that is rarely thought about — creative, popular, and led by practical and social needs. It is centered on the ordinary people that used it. Their names remain little-known; their solutions have vanished along with the situations that required them; but their energy and ideas - as captured by Poor Robin - create a wonderfully rich picture of what mathematics can be, and has been.
E-bok
PDF, Engelska, 20171 513 kr
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This book contains all the letters that are known to survive from the correspondence of Charles Hutton (1737-1823). Hutton was one of the most prominent British mathematicians of his generation; he played roles at the Royal Society, the Royal Military Academy, the Board of Longitude, the ''philomath'' network and elsewhere. He worked on the explosive force of gunpowder and the mean density of the earth, wining the Royal Society''s Copley medal in 1778; he was also atthe focus of a celebrated row at the Royal Society in 1784 over the place of mathematics there. He is of particular historical interest because of the variety of roles he played in British mathematics, the dexterity with which he navigated, exploited and shaped personal and professional networks inmathematics and science, and the length and visibility of his career.Hutton corresponded nationally and internationally, and his correspondence illustrates the overlapping, the intersection and interaction of the different networks in which Hutton moved. It therefore provides new information about how Georgian mathematics was structured socially, and how mathematical careers worked in that period. It provides a rare and valuable view of a mathematical culture that would substantially cease to exist when British mathematics embraced continental methods from theearly ninetheenth century onwards.Over 130 letters survive, from 1770 to 1822, but they are widely scattered (in nearly thirty different archives) and have not been catalogued or edited before. This edition situates the correspondence with an introduction and explanatory notes.
E-bok
Engelska, 20171 513 kr
Läs direkt efter köp
This book contains all the letters that are known to survive from the correspondence of Charles Hutton (1737-1823). Hutton was one of the most prominent British mathematicians of his generation; he played roles at the Royal Society, the Royal Military Academy, the Board of Longitude, the ''philomath'' network and elsewhere. He worked on the explosive force of gunpowder and the mean density of the earth, wining the Royal Society''s Copley medal in 1778; he was also atthe focus of a celebrated row at the Royal Society in 1784 over the place of mathematics there. He is of particular historical interest because of the variety of roles he played in British mathematics, the dexterity with which he navigated, exploited and shaped personal and professional networks inmathematics and science, and the length and visibility of his career.Hutton corresponded nationally and internationally, and his correspondence illustrates the overlapping, the intersection and interaction of the different networks in which Hutton moved. It therefore provides new information about how Georgian mathematics was structured socially, and how mathematical careers worked in that period. It provides a rare and valuable view of a mathematical culture that would substantially cease to exist when British mathematics embraced continental methods from theearly ninetheenth century onwards.Over 130 letters survive, from 1770 to 1822, but they are widely scattered (in nearly thirty different archives) and have not been catalogued or edited before. This edition situates the correspondence with an introduction and explanatory notes.
Inbunden, Engelska, 2017
2 354 kr
Skickas inom 3-6 vardagar
This book contains all the letters that are known to survive from the correspondence of Charles Hutton (1737-1823). Hutton was one of the most prominent British mathematicians of his generation; he played roles at the Royal Society, the Royal Military Academy, the Board of Longitude, the 'philomath' network and elsewhere. He worked on the explosive force of gunpowder and the mean density of the earth, wining the Royal Society's Copley medal in 1778; he was also at the focus of a celebrated row at the Royal Society in 1784 over the place of mathematics there. He is of particular historical interest because of the variety of roles he played in British mathematics, the dexterity with which he navigated, exploited and shaped personal and professional networks in mathematics and science, and the length and visibility of his career. Hutton corresponded nationally and internationally, and his correspondence illustrates the overlapping, the intersection and interaction of the different networks in which Hutton moved. It therefore provides new information about how Georgian mathematics was structured socially, and how mathematical careers worked in that period. It provides a rare and valuable view of a mathematical culture that would substantially cease to exist when British mathematics embraced continental methods from the early ninetheenth century onwards.Over 130 letters survive, from 1770 to 1822, but they are widely scattered (in nearly thirty different archives) and have not been catalogued or edited before. This edition situates the correspondence with an introduction and explanatory notes.
Inbunden, Engelska, 2020
3 047 kr
Skickas inom 10-15 vardagar
Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.
Häftad, Engelska, 2023
768 kr
Skickas inom 10-15 vardagar
Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.
Häftad, Engelska, 2020
702 kr
Skickas inom 10-15 vardagar
John Wallis (1616-1703), was one of the foremost British mathematicians of the seventeenth century, and is also remembered for his important writings on grammar and logic. An interest in music theory led him to produce translations into Latin of three ancient Greek texts - those of Ptolemy, Porphyry and Bryennius - and involved him in discussions with Henry Oldenburg, the Secretary of the Royal Society, Thomas Salmon and other individuals as his ideas developed. The texts presented in this volume cover the relationship of ancient and modern tuning theory, the building of organs, the phenomena of resonance, and other musical topics.
Inbunden, Engelska, 2010
424 kr
Skickas inom 5-8 vardagar
Writings by early mathematicians feature language and notations that are quite different from what we're familiar with today. Sourcebooks on the history of mathematics provide some guidance, but what has been lacking is a guide tailored to the needs of readers approaching these writings for the first time. How to Read Historical Mathematics fills this gap by introducing readers to the analytical questions historians ask when deciphering historical texts. Sampling actual writings from the history of mathematics, Benjamin Wardhaugh reveals the questions that will unlock the meaning and significance of a given text--Who wrote it, why, and for whom? What was its author's intended meaning? How did it reach its present form? Is it original or a translation? Why is it important today? Wardhaugh teaches readers to think about what the original text might have looked like, to consider where and when it was written, and to formulate questions of their own. Readers pick up new skills with each chapter, and gain the confidence and analytical sophistication needed to tackle virtually any text in the history of mathematics.* Introduces readers to the methods of textual analysis used by historians * Uses actual source material as examples * Features boxed summaries, discussion questions, and suggestions for further reading * Supplements all major sourcebooks in mathematics history * Designed for easy reference * Ideal for students and teachers
Inbunden, Engelska, 2012
557 kr
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Despite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening anthology--the first of its kind--gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor.Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introduction. A unique window into the hidden history of popular mathematics, A Wealth of Numbers will provide many hours of fun and learning to anyone who loves popular mathematics and science.
506 kr
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Inbunden, Engelska, 2010
2 497 kr
Skickas inom 10-15 vardagar
John Birchensha (c.1605-?1681) is chiefly remembered for the impression that his theories about music made on the mathematicians, natural philosophers and virtuosi of the Royal Society in the 1660s and 1670s, and for inventing a system that he claimed would enable even those without practical experience of music to learn to compose in a short time by means of 'a few easy, certain, and perfect Rules'-his most famous composition pupil being Samuel Pepys in 1662. His great aim was to publish a treatise on music in its philosophical, mathematical and practical aspects (which would have included a definitive summary of his rules of composition), entitled Syntagma musicæ. Subscriptions for this book were invited in 1672-3, and it was due to be published by March 1675; but it never appeared, and no final manuscript of it survives. Consequently knowledge about his work has hitherto remained extremely sketchy. Recent research, however, has brought to light a number of manuscripts which allow us at last to form a more complete view of Birchensha's ideas. Almost none of this material has been previously published. The new items include an autograph treatise of c.1664 ('A Compendious Discourse of the Principles of the Practicall & Mathematicall Partes of Musick') which Birchensha presented to the natural philosopher Robert Boyle, and which covers concisely much of the ground that he intended to cover in Syntagma musicæ; a detailed synopsis for Syntagma musicæ which he prepared for a meeting of the Royal Society in February 1676; and an autograph notebook (now in Brussels) containing his six rules of composition with music examples, presumably written for a pupil. Bringing all this material together in a single volume will allow scholars to see how Birchensha's rules and theories developed over a period of fifteen years, and to gain at least a flavour of the lost Syntagma musicæ.
Inbunden, Engelska, 2008
2 728 kr
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How, in 1705, was Thomas Salmon, a parson from Bedfordshire, able to persuade the Royal Society that a musical performance could constitute a scientific experiment? Or that the judgement of a musical audience could provide evidence for a mathematically precise theory of musical tuning? This book presents answers to these questions. It constitutes a general history of quantitative music theory in the late seventeenth century as well as a detailed study of one part of that history: namely the applications of mathematical and mechanical methods of understanding to music that were produced in England between 1653 and 1705, beginning with the responses to Descartes's 1650 Compendium musicæ, and ending with the Philosophical Transactions' account of the appearance of Thomas Salmon at the Royal Society in 1705. The book is organized around four key questions. Do musical pitches form a small set or a continuous spectrum? Is there a single faculty of hearing which can account for musical sensation, or is more than one faculty at work? What is the role of harmony in the mechanical world, and where can its effects be found? And what is the relationship between musical theory and musical practice? These are questions which are raised and discussed in the sources themselves, and they have wide significance for early modern theories of knowledge and sensation more generally, as well as providing a fascinating side light onto the world of the scientific revolution.
Inbunden, Engelska, 2013
1 512 kr
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Thomas Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier. The incident has tended to be passed over rather briefly in the scholarly literature, but beneath the unedifying invective employed by Salmon, Locke and their supporters, serious and novel statements were being made about what constituted musical knowledge and what was the proper way to acquire it. This volume is the first published scholarly edition of Salmon's writings on notation, previously available only in microfilm and online facsimiles. A second volume to follow will present Salmon's writings on pitch - previously only available mostly in manuscript.
Inbunden, Engelska, 2013
2 497 kr
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This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier (these writings are the subject of Volume I). Later in his life Salmon devoted his attention to an exploration of the possible reform of musical pitch. He made or renewed contact with instrument-makers and performers in London, with the mathematician John Wallis, with Isaac Newton and with the Royal Society of London through its Secretary Hans Sloane. A series of manuscript treatises and a published Proposal to Perform Musick, in Perfect and Mathematical Proportions (1688) paved the way for an appearance by Salmon at the Royal Society in 1705, when he provided a demonstration performance by professional musicians using instruments specially modified to his designs. This created an explicit overlap between the spaces of musical performance and of experimental performance, as well as raising questions about the meaning and the source of musical knowledge similar to those raised in his work on notation. Benjamin Wardhaugh presents the first published scholarly edition of Salmon's writings on pitch, previously only available mostly in manuscript.
Inbunden, Engelska, 2014
2 497 kr
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John Wallis (1616-1703), was one of the foremost British mathematicians of the seventeenth century, and is also remembered for his important writings on grammar and logic. An interest in music theory led him to produce translations into Latin of three ancient Greek texts - those of Ptolemy, Porphyry and Bryennius - and involved him in discussions with Henry Oldenburg, the Secretary of the Royal Society, Thomas Salmon and other individuals as his ideas developed. The texts presented in this volume cover the relationship of ancient and modern tuning theory, the building of organs, the phenomena of resonance, and other musical topics.
E-bok
PDF, Engelska, 2020790 kr
Läs direkt efter köp
Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.
E-bok
Engelska, 2020790 kr
Läs direkt efter köp
Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.
Häftad, Engelska, 2024
644 kr
Skickas inom 10-15 vardagar
Thomas Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier. The incident has tended to be passed over rather briefly in the scholarly literature, but beneath the unedifying invective employed by Salmon, Locke and their supporters, serious and novel statements were being made about what constituted musical knowledge and what was the proper way to acquire it. This volume is the first published scholarly edition of Salmon's writings on notation, previously available only in microfilm and online facsimiles. A second volume to follow will present Salmon's writings on pitch - previously only available mostly in manuscript.
Häftad, Engelska, 2024
644 kr
Skickas inom 10-15 vardagar
This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier (these writings are the subject of Volume I). Later in his life Salmon devoted his attention to an exploration of the possible reform of musical pitch. He made or renewed contact with instrument-makers and performers in London, with the mathematician John Wallis, with Isaac Newton and with the Royal Society of London through its Secretary Hans Sloane. A series of manuscript treatises and a published Proposal to Perform Musick, in Perfect and Mathematical Proportions (1688) paved the way for an appearance by Salmon at the Royal Society in 1705, when he provided a demonstration performance by professional musicians using instruments specially modified to his designs. This created an explicit overlap between the spaces of musical performance and of experimental performance, as well as raising questions about the meaning and the source of musical knowledge similar to those raised in his work on notation. Benjamin Wardhaugh presents the first published scholarly edition of Salmon's writings on pitch, previously only available mostly in manuscript.