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The Euclidean Division Of The Canon
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Book Synopsis The Euclidean Division of the Canon by : Andrä Barbera
Download or read book The Euclidean Division of the Canon written by Andrä Barbera and published by U of Nebraska Press. This book was released on 1991-01-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Division of the Canon is an ancient Pythagorean treatise on the relationship between mathematical and acoustical truths. Euclidean in style, sectional in nature, and essentially Pythagorean, the Division has been susceptible to quotation since antiquity and has attracted the attention of many musicologists, classicists, mathematicians, and historians of science.
Book Synopsis The Euclidean Division of the canon by : Euclides
Download or read book The Euclidean Division of the canon written by Euclides and published by . This book was released on 1991 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Evolution of the Beautiful in Sound by : Henry Wylde
Download or read book The Evolution of the Beautiful in Sound written by Henry Wylde and published by . This book was released on 1888 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Greek Reflections on the Nature of Music by : Flora R. Levin
Download or read book Greek Reflections on the Nature of Music written by Flora R. Levin and published by Cambridge University Press. This book was released on 2009-04-27 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - time, motion, and the continuum - is itself a mirror-image of the cosmos. These opposing perspectives gave rise to two opposing schools of thought, the Pythagorean and the Aristoxenian. Levin argues that the clash between these two schools could never be reconciled because the inherent conflict arises from two different worlds of mathematics. Her book shows how the Greeks' appreciation of the profundity of music's interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched.
Book Synopsis Encounters with Euclid by : Benjamin Wardhaugh
Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pythagoras and the Early Pythagoreans by : Leonid Zhmud
Download or read book Pythagoras and the Early Pythagoreans written by Leonid Zhmud and published by Oxford University Press. This book was released on 2012-05-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Pythagoras (c. 570 - c. 495 BC), arguably the most influential thinker among the Presocratics, emerges in ancient tradition as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. He claimed to possess supernatural powers and was the kind of personality who attracted legends. In contrast to his controversial and elusive nature, the early Pythagoreans, such as the doctors Democedes and Alcmaeon, the Olympic victors Milon and Iccus, the botanist Menestor, the natural philosopher Hippon, and the mathematicians Hippasus and Theodorus, all appear in our sources as 'rational' as they can possibly be. It was this 'normality' that ensured the continued existence of Pythagoreanism as a philosophical and scientific school till c. 350 BC. This volume offers a comprehensive study of Pythagoras and the early Pythagoreans through an analysis of the many representations of the Teacher and his followers, allowing the representations to complement and critique each other. Relying predominantly on sources dating back to before 300 BC, Zhmud portrays a more historical picture of Pythagoras, of the society founded by him, and of its religion than is known from the late antique biographies. In chapters devoted to mathematical and natural sciences cultivated by the Pythagoreans and to their philosophies, a critical distinction is made between the theories of individual figures and a generalized 'all-Pythagorean teaching', which is known from Aristotle.
Book Synopsis The Cambridge History of Western Music Theory by : Thomas Christensen
Download or read book The Cambridge History of Western Music Theory written by Thomas Christensen and published by Cambridge University Press. This book was released on 2006-04-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cambridge History of Western Music Theory is the first comprehensive history of Western music theory to be published in the English language. A collaborative project by leading music theorists and historians, the volume traces the rich panorama of music-theoretical thought from the Ancient Greeks to the present day. Recognizing the variety and complexity of music theory as an historical subject, the volume has been organized within a flexible framework. Some chapters are defined chronologically within a restricted historical domain, whilst others are defined conceptually and span longer historical periods. Together the thirty-one chapters present a synthetic overview of the fascinating and complex subject that is historical music theory. Richly enhanced with illustrations, graphics, examples and cross-citations as well as being thoroughly indexed and supplemented by comprehensive bibliographies of the most important primary and secondary literature, this book will be an invaluable resource for students and scholars alike.
Book Synopsis The Harvard Dictionary of Music by : Don Michael Randel
Download or read book The Harvard Dictionary of Music written by Don Michael Randel and published by Harvard University Press. This book was released on 2003-11-28 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic reference work, the best one-volume music dictionary available, has been brought completely up to date in this new edition. Combining authoritative scholarship and lucid, lively prose, the Fourth Edition of The Harvard Dictionary of Music is the essential guide for musicians, students, and everyone who appreciates music. The Harvard Dictionary of Music has long been admired for its wide range as well as its reliability. This treasure trove includes entries on all the styles and forms in Western music; comprehensive articles on the music of Africa, Asia, Latin America, and the Near East; descriptions of instruments enriched by historical background; and articles that reflect today’s beat, including popular music, jazz, and rock. Throughout this Fourth Edition, existing articles have been fine-tuned and new entries added so that the dictionary fully reflects current music scholarship and recent developments in musical culture. Encyclopedia-length articles by notable experts alternate with short entries for quick reference, including definitions and identifications of works and instruments. More than 220 drawings and 250 musical examples enhance the text. This is an invaluable book that no music lover can afford to be without.
Book Synopsis Geminos's Introduction to the Phenomena by : James Evans
Download or read book Geminos's Introduction to the Phenomena written by James Evans and published by Princeton University Press. This book was released on 2018-06-05 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first complete English translation of Geminos's Introduction to the Phenomena--one of the most important and interesting astronomical works of its type to have survived from Greek antiquity. Gracefully and charmingly written, Geminos's first-century BC textbook for beginning students of astronomy can now be read straight through with understanding and enjoyment by a wider audience than ever before. James Evans and Lennart Berggren's accurate and readable translation is accompanied by a thorough introduction and commentary that set Geminos's work in its historical, scientific, and philosophical context. This book is generously illustrated with diagrams from medieval manuscripts of Geminos's text, as well as drawings and photographs of ancient astronomical instruments. It will be of great interest to students of the history of science, to classicists, and to professional and amateur astronomers who seek to learn more about the origins of their science. Geminos provides a clear view of Greek astronomy in the period between Hipparchos and Ptolemy, treating such subjects as the zodiac, the constellations, the theory of the celestial sphere, lunar cycles, and eclipses. Most significantly, Geminos gives us the earliest detailed discussion of Babylonian astronomy by a Greek writer, thus offering valuable insight into the cross-cultural transmission of astronomical knowledge in antiquity.
Book Synopsis Encyclopedia of Ancient Natural Scientists by : Paul T. Keyser
Download or read book Encyclopedia of Ancient Natural Scientists written by Paul T. Keyser and published by Taylor & Francis. This book was released on 2008-11-19 with total page 1073 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Ancient Natural Scientists is the first comprehensive English language work to provide a survey of all ancient natural science, from its beginnings through the end of Late Antiquity. A team of over 100 of the world’s experts in the field have compiled this Encyclopedia, including entries which are not mentioned in any other reference work – resulting in a unique and hugely ambitious resource which will prove indispensable for anyone seeking the details of the history of ancient science. Additional features include a Glossary, Gazetteer, and Time-Line. The Glossary explains many Greek (or Latin) terms difficult to translate, whilst the Gazetteer describes the many locales from which scientists came. The Time-Line shows the rapid rise in the practice of science in the 5th century BCE and rapid decline after Hadrian, due to the centralization of Roman power, with consequent loss of a context within which science could flourish.
Book Synopsis Source Readings in Music History by : William Oliver Strunk
Download or read book Source Readings in Music History written by William Oliver Strunk and published by W. W. Norton & Company. This book was released on 1998 with total page 1584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive collection of great writings on music from ancient Greece through the twentieth century.
Book Synopsis The Monochord in Ancient Greek Harmonic Science by : David Creese
Download or read book The Monochord in Ancient Greek Harmonic Science written by David Creese and published by Cambridge University Press. This book was released on 2010-06-10 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).
Book Synopsis Philosophy and Modern Liberal Arts Education by : N. Tubbs
Download or read book Philosophy and Modern Liberal Arts Education written by N. Tubbs and published by Springer. This book was released on 2014-01-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book argues for a modern version of liberal arts education, exploring first principles within the divine comedy of educational logic. By reforming the three philosophies of metaphysics, nature and ethics upon which liberal arts education is based, Tubbs offers a profound transatlantic philosophical and educational challenge to the subject.
Book Synopsis Revolutions and Continuity in Greek Mathematics by : Michalis Sialaros
Download or read book Revolutions and Continuity in Greek Mathematics written by Michalis Sialaros and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-23 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical ‘revolutions’ and ‘continuity’. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn’s ideas on ‘scientific revolutions’ to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on ‘geometrical algebra’ and ‘premodern algebra’, the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of ‘continuity’ between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle.
Book Synopsis Theophrastus of Eresus: Commentary Volume 9.1 by : Massimo Raffa
Download or read book Theophrastus of Eresus: Commentary Volume 9.1 written by Massimo Raffa and published by BRILL. This book was released on 2018-03-20 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theophrastus of Eresus: Commentary Volume 9.1 concerns the extant ancient testimonies on Theophrastus’ thought on music, which strike the reader as surprisingly original and modern. Music is regarded as something that originates from the soul and comes into existence through the body.
Book Synopsis Mathematics and Computation in Music by : Timour Klouche
Download or read book Mathematics and Computation in Music written by Timour Klouche and published by Springer. This book was released on 2010-07-19 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises a selection of papers presented at the first International C- ference on Mathematics and Computation in Music – mcm2007. The conference took place at the Staatliches Institut für Musikforschung PK – National Institute for Music Research in Berlin during May 18–20, 2007 and was jointly organized by the National Institute for Music Research Berlin and the Society of Mathematics and Computation in Music. The papers were selected for the conference by the program committee and classfied into talks and posters. All papers underwent further selection, revision and elaboration for this book publication. The articles cover a research field which is heterogeneous with respect to content, scientific language and methodology. On one hand, this reflects the heterogeneity and richness of the musical subject domain itself. On the other hand, it exemplifies a t- sion which has been explicitly intended by both the organizers and the founders of the society, namely to support the integration of mathematical and computational - proaches to music theory, composition, analysis and performance. The subdivision into three parts reflects the original structure of the program. These parts are opened by invited papers and followed by talks and posters.
Book Synopsis Scientific Method in Ptolemy's Harmonics by : Andrew Barker
Download or read book Scientific Method in Ptolemy's Harmonics written by Andrew Barker and published by Cambridge University Press. This book was released on 2000 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The science called 'harmonics' was one of the major intellectual enterprises of Greek antiquity. Ptolemy's treatise seeks to invest it with new scientific rigour; its consistently sophisticated procedural self-awareness marks it as a key text in the history of science. This book is a sustained methodological exploration of Ptolemy's project. After an analysis of his explicit pronouncements on the science's aims and the methods appropriate to it, it examines Ptolemy's conduct of his investigation in detail, concluding that despite occasional uncertainties, the declared procedure is followed with remarkable fidelity. Ptolemy pursues tenaciously his novel objective of integrating closely the project's theoretical and empirical phases and shows astonishing mastery of the concept, the design and the conduct of controlled experimental tests. By opening up this neglected text to historians of science, the book aims to provide a point of departure for wider studies of Greek scientific method.
