Benjamin Wardhaugh's Books

Gunpowder and Geometry: The Life of Charles Hutton, Pit Boy, Mathematician and Scientific Rebel

By: Benjamin Wardhaugh

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Gunpowder and Geometry: The Life of Charles Hutton, Pit Boy, Mathematician and Scientific Rebel

By: Benjamin Wardhaugh

August, 1755. Newcastle, on the north bank of the Tyne.

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Page Count

300

Publisher

HarperCollins UK

Published Date

ISBN 10

0008299978

ISBN 13

9780008299972

John Wallis: Writings on Music

By: David Cram

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John Wallis: Writings on Music

By: David Cram

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.

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Page Count

254

Publisher

Routledge

Published Date

ISBN 10

1351561499

ISBN 13

9781351561495

John Birchensha: Writings on Music

By: Christopher D.S. Field,Benjamin Wardhaugh

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John Birchensha: Writings on Music

By: Christopher D.S. Field,Benjamin Wardhaugh

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 music 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 music a detailed synopsis for Syntagma music hich 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 music

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342

Publisher

Routledge

Published Date

ISBN 10

1351561588

ISBN 13

9781351561587

Encounters with Euclid

How an Ancient Greek Geometry Text Shaped the World

By: Benjamin Wardhaugh

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Encounters with Euclid

How an Ancient Greek Geometry Text Shaped the World

By: Benjamin Wardhaugh

A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

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Page Count

416

Publisher

Princeton University Press

Published Date

ISBN 10

0691235767

ISBN 13

9780691235769

The Correspondence of Charles Hutton

Mathematical Networks in Georgian Britain

By: Benjamin Wardhaugh

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The Correspondence of Charles Hutton

Mathematical Networks in Georgian Britain

By: Benjamin Wardhaugh

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.

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Page Count

430

Publisher

Oxford University Press

Published Date

ISBN 10

0192527231

ISBN 13

9780192527233

The Correspondence of Charles Hutton

Mathematical Networks in Georgian Britain

By: Benjamin Wardhaugh

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The Correspondence of Charles Hutton

Mathematical Networks in Georgian Britain

By: Benjamin Wardhaugh

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Page Count

259

Publisher

Oxford University Press

Published Date

ISBN 10

0192527223

ISBN 13

9780192527226

Encounters with Euclid

How an Ancient Greek Geometry Text Shaped the World

By: Benjamin Wardhaugh

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Encounters with Euclid

How an Ancient Greek Geometry Text Shaped the World

By: Benjamin Wardhaugh

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Page Count

416

Publisher

Princeton University Press

Published Date

ISBN 10

0691235767

ISBN 13

9780691235769

Playing Across a Divide

Israeli-Palestinian Musical Encounters

By: Benjamin Brinner

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Playing Across a Divide

Israeli-Palestinian Musical Encounters

By: Benjamin Brinner

Following the bands Bustan Abraham and Alei Hazayit from their creation and throughout their careers, as well as the collaborative projects of Israeli artist Yair Dalal, this book demonstrates the possibility of musical alternatives to violent conflict and hatred in an intensely contested, multicultural environment.

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Page Count

369

Publisher

Oxford University Press

Published Date

ISBN 10

0195175816

ISBN 13

9780195175813

Years of Plenty, Years of Want

France and the Legacy of the Great War

By: Benjamin Franklin Martin

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Years of Plenty, Years of Want

France and the Legacy of the Great War

By: Benjamin Franklin Martin

The Great War that engulfed Europe between 1914 and 1918 was a catastrophe for France. French soil was the site of most of the fighting on the Western Front. French dead were more than 1.3 million, the permanently disabled another 1.1 million, overwhelmingly men in their twenties and thirties. The decade and a half before the war had been years of plenty, a time of increasing prosperity and confidence remembered as the Belle Epoque or the good old days. The two decades that followed its end were years of want, loss, misery, and fear. In 1914, France went to war convinced of victory. In 1939, France went to war dreading defeat. To explain the burden of winning the Great War and embracing the collapse that followed, Benjamin Martin examines the national mood and daily life of France in July 1914 and August 1939, the months that preceded the two world wars. He presents two titans: Georges Clemenceau, defiant and steadfast, who rallied a dejected nation in 1918, and Edouard Daladier,hesitant and irresolute, who espoused appeasement in 1938 though comprehending its implications. He explores novels by a constellation of celebrated French writers who treated the Great War and its social impact, from Colette to Irène Némirovsky, from François Mauriac to Antoine de Saint-Exupéry. And he devotes special attention to Roger Martin du Gard, the1937 Nobel Laureate, whose roman-fleuve The Thibaults is an unrivaled depiction of social unraveling and disillusionment. For many in France, the legacy of the Great War was the vow to avoid any future war no matter what the cost. They cowered behind the Maginot Line, the fortifications along the eastern border designed to halt any future German invasion. Others knew that cost would be too great and defended the "Descartes Line": liberty and truth, the declared values of French civilization. In his distinctive and vividly compelling prose, Martin recounts this struggle for the soul of France.

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Page Count

194

Publisher

Cornell University Press

Published Date

ISBN 10

1609090802

ISBN 13

9781609090807

Indo-European Language and Culture

An Introduction

By: Benjamin W. Fortson, IV

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Indo-European Language and Culture

An Introduction

By: Benjamin W. Fortson, IV

This revised and expanded edition provides a comprehensive overview of comparative Indo-European linguistics and the branches of the Indo-European language family, covering both linguistic and cultural material. Now offering even greater coverage than the first edition, it is the definitive introduction to the field. Updated, corrected, and expanded edition, containing new illustrations of selected texts and inscriptions, and text samples with translations and etymological commentary Extensively covers individual histories of both ancient and modern languages of the Indo-European family Provides an overview of Proto-Indo-European culture, society, and language Designed for use in courses, with exercises and suggestions for further reading included in each chapter Includes maps, a glossary, a bibliography, and comprehensive word and subject indexes

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Page Count

570

Publisher

John Wiley & Sons

Published Date

ISBN 10

1444359681

ISBN 13

9781444359688

Music, Experiment and Mathematics in England, 1653–1705

By: Benjamin Wardhaugh

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Music, Experiment and Mathematics in England, 1653–1705

By: Benjamin Wardhaugh

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 music 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.

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Page Count

222

Publisher

Routledge

Published Date

ISBN 10

1351557084

ISBN 13

9781351557085

"Music, Experiment and Mathematics in England, 1653?705 "

By: Benjamin Wardhaugh

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"Music, Experiment and Mathematics in England, 1653?705 "

By: Benjamin Wardhaugh

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 music?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.

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Page Count

329

Publisher

Routledge

Published Date

ISBN 10

1351557076

ISBN 13

9781351557078

Thomas Salmon: A proposal to perform musick and related writings, 1685-1706

By: Benjamin Wardhaugh

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Thomas Salmon: A proposal to perform musick and related writings, 1685-1706

By: Benjamin Wardhaugh

This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for proposing a radical reform of musical notation (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 and raised questions about the meaning and the source of musical knowledge similar to those he 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.

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Page Count

206

Publisher

Ashgate Publishing, Ltd.

Published Date

ISBN 10

0754668452

ISBN 13

9780754668459

John Birchensha: Writings on Music

By: Christopher D.S. Field,Benjamin Wardhaugh

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John Birchensha: Writings on Music

By: Christopher D.S. Field,Benjamin Wardhaugh

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Page Count

342

Publisher

Routledge

Published Date

ISBN 10

1351561588

ISBN 13

9781351561587

John Wallis: Writings on Music

By: David Cram

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John Wallis: Writings on Music

By: David Cram

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Page Count

254

Publisher

Routledge

Published Date

ISBN 10

1351561499

ISBN 13

9781351561495

Book's by Benjamin Wardhaugh

Gunpowder and Geometry: The Life of Charles Hutton, Pit Boy, Mathematician and Scientific Rebel

Gunpowder and Geometry: The Life of Charles Hutton, Pit Boy, Mathematician and Scientific Rebel

John Wallis: Writings on Music

John Wallis: Writings on Music

John Birchensha: Writings on Music

John Birchensha: Writings on Music

Encounters with Euclid

Encounters with Euclid

The Correspondence of Charles Hutton

The Correspondence of Charles Hutton

The Correspondence of Charles Hutton

The Correspondence of Charles Hutton

Encounters with Euclid

Encounters with Euclid

Playing Across a Divide

Playing Across a Divide

Years of Plenty, Years of Want

Years of Plenty, Years of Want

Indo-European Language and Culture

Indo-European Language and Culture

Music, Experiment and Mathematics in England, 1653–1705

Music, Experiment and Mathematics in England, 1653–1705

"Music, Experiment and Mathematics in England, 1653?705 "

"Music, Experiment and Mathematics in England, 1653?705 "

Thomas Salmon: A proposal to perform musick and related writings, 1685-1706

Thomas Salmon: A proposal to perform musick and related writings, 1685-1706

John Birchensha: Writings on Music

John Birchensha: Writings on Music

John Wallis: Writings on Music

John Wallis: Writings on Music

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