Hidden Harmonies

Hidden Harmonies
Title Hidden Harmonies PDF eBook
Author André Romijn
Publisher Antonio Vivaldi
Pages 396
Release 2008
Genre Veterinary surgery
ISBN 9780955410017

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Hidden Harmonies

Hidden Harmonies
Title Hidden Harmonies PDF eBook
Author Ellen Kaplan
Publisher Bloomsbury Publishing USA
Pages 304
Release 2011-01-11
Genre Mathematics
ISBN 1608192911

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A squared plus b squared equals c squared. It sounds simple, doesn't it? Yet this familiar expression is a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, acclaimed authors Robert and Ellen Kaplan. With wit, verve, and clarity, they trace the life of the Pythagorean theorem, from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons-not to mention the elusive Pythagoras himself, who almost certainly did not make the statement that bears his name. How can a theorem have more than one proof? Why does this one have more than two hundred-or is it four thousand? The Pythagorean theorem has even more applications than proofs: Ancient Egyptians used it for surveying property lines, and today astronomers call on it to measure the distance between stars. Its generalizations are stunning-the theorem works even with shapes on the sides that aren't squares, and not just in two dimensions, but any number you like, up to infinity. And perhaps its most intriguing feature of all, this tidy expression opened the door to the world of irrational numbers, an untidy discovery that deeply troubled Pythagoras's disciples. Like the authors' bestselling The Nothing That Is and Chances Are . . .-hailed as "erudite and witty," "magnificent," and "exhilarating"-Hidden Harmonies makes the excitement of mathematics palpable.

Hidden Harmonies

Hidden Harmonies
Title Hidden Harmonies PDF eBook
Author Evelyn Simms
Publisher
Pages 23
Release 1917
Genre Amateur plays
ISBN

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Secret Harmonies

Secret Harmonies
Title Secret Harmonies PDF eBook
Author Andrea Barrett
Publisher Simon and Schuster
Pages 260
Release 1991-03
Genre Fiction
ISBN 0671731378

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When childhood sweethearts Reba Dwyer and Luke Wyatt marry, they expect no surprises. But now that Luke is her husband, discord enters their lives. Secret Harmonies is utterly absorbing, moving story of what happens to this couple.

Catalogue of Copyright Entries

Catalogue of Copyright Entries
Title Catalogue of Copyright Entries PDF eBook
Author
Publisher
Pages 1030
Release 1917
Genre American literature
ISBN

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The Secret Life: Being the Book of a Heretic

The Secret Life: Being the Book of a Heretic
Title The Secret Life: Being the Book of a Heretic PDF eBook
Author Elizabeth Bisland
Publisher Good Press
Pages 173
Release 2019-12-05
Genre Fiction
ISBN

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"The Secret Life: Being the Book of a Heretic" by Elizabeth Bisland Elizabeth Bisland Wetmore was an American journalist. This book served as a sort of journal of hers, where she discussed numerous topics and opinions. L'Enfant Terrible, An Optimistic Cynic, A Poet Sheep-rancher, An Eaten Cake, Concerning Elbows on the Table, and An Autumn Impulse are just some of the titled entries in this fascinating look at Bisland's mind.

Berio's Sequenzas

Berio's Sequenzas
Title Berio's Sequenzas PDF eBook
Author JanetK. Halfyard
Publisher Routledge
Pages 328
Release 2017-07-05
Genre Music
ISBN 1351574205

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Between 1958 and 2002, Luciano Berio wrote fourteen pieces entitled Sequenza, along with several versions of the same work for different instruments, revisions of the original pieces and also the parallel Chemins series, where one of the Sequenzas is used as the basis for a new composition on a larger scale. The Sequenza series is one of the most remarkable achievements of the late twentieth century - a collection of virtuoso pieces that explores the capabilities of a solo instrument and its player, making extreme technical demands of the performer whilst developing the musical vocabulary of the instrument in compositions so assured and so distinctive that each piece both initiates and potentially exhausts the repertoire of a new genre. The Sequenzas have significantly influenced the development of composition for solo instruments and voice, and there is no comparable series of works in the output of any other composer. Series of pieces tend to be linked by the instruments for which the composer writes, but this is a series in which the pieces are linked instead by the variety of instruments for which Berio composed. The varied approaches taken by the contributors in discussing the pieces demonstrate the richness of this repertoire and the many levels on which Berio and these landmark compositions can be considered. Contributions are arranged under three main headings: Performance Issues; Berio's Compositional Process and Aesthetics; and Analytical Approaches.