The National Arithmetic

The National Arithmetic PDF Author: Benjamin Greenleaf
Publisher: BoD – Books on Demand
ISBN: 3375162626
Category : Fiction
Languages : en
Pages : 449

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Book Description
Reprint of the original, first published in 1857.

The National Arithmetic

The National Arithmetic PDF Author: Benjamin Greenleaf
Publisher: BoD – Books on Demand
ISBN: 3375162626
Category : Fiction
Languages : en
Pages : 449

Get Book Here

Book Description
Reprint of the original, first published in 1857.

Introduction to The National Arithmetic

Introduction to The National Arithmetic PDF Author: Benjamin Greenleaf
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 234

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The National Arithmetic

The National Arithmetic PDF Author: Benjamin Greenleaf
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 340

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Book Description


Introduction to The National Arithmetic, on the Inductive System

Introduction to The National Arithmetic, on the Inductive System PDF Author: Benjamin Greenleaf
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 174

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Book Description


Introduction to the National Arithmetic, on the Inductive System

Introduction to the National Arithmetic, on the Inductive System PDF Author: Benjamin Greenleaf
Publisher: BoD – Books on Demand
ISBN: 3368840215
Category : Fiction
Languages : en
Pages : 342

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Book Description
Reprint of the original, first published in 1874.

A Key to the Introduction to the National Arithmetic

A Key to the Introduction to the National Arithmetic PDF Author: Benjamin Greenleaf
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 158

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Political Arithmetic

Political Arithmetic PDF Author: Robert William Fogel
Publisher: University of Chicago Press
ISBN: 0226256618
Category : Business & Economics
Languages : en
Pages : 163

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Book Description
We take for granted today that the assessments, measurements, and forecasts of economists are crucial to the decision-making of governments and businesses alike. But less than a century ago that wasn’t the case—economists simply didn’t have the necessary information or statistical tools to understand the ever more complicated modern economy. With Political Arithmetic, Nobel Prize–winning economist Robert Fogel and his collaborators tell the story of economist Simon Kuznets, the founding of the National Bureau of Economic Research, and the creation of the concept of GNP, which for the first time enabled us to measure the performance of entire economies. The book weaves together the many strands of political and economic thought and historical pressures that together created the demand for more detailed economic thinking—Progressive-era hopes for activist government, the production demands of World War I, Herbert Hoover’s interest in business cycles as President Harding’s commerce secretary, and the catastrophic economic failures of the Great Depression—and shows how, through trial and error, measurement and analysis, economists such as Kuznets rose to the occasion and in the process built a discipline whose knowledge could be put to practical use in everyday decision-making. The product of a lifetime of studying the workings of economies and skillfully employing the tools of economics, Political Arithmetic is simultaneously a history of a key period of economic thought and a testament to the power of applied ideas.

The Arithmetic of Listening

The Arithmetic of Listening PDF Author: Kyle Gann
Publisher: University of Illinois Press
ISBN: 0252051424
Category : Music
Languages : en
Pages : 316

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Book Description
"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html

A Key to The National Arithmetic

A Key to The National Arithmetic PDF Author: Benjamin Greenleaf
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 264

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A Key to the National Arithmetic, Exhibiting the Operation of the More Difficult Examples in that Work

A Key to the National Arithmetic, Exhibiting the Operation of the More Difficult Examples in that Work PDF Author: Benjamin Greenleaf
Publisher:
ISBN:
Category :
Languages : en
Pages : 228

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Book Description