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The Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age фото книги

The Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age

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The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science. Using a canonical version of the New Keynesian model as a reference, Jordi Galí explores various issues pertaining to monetary policy's design, including optimal monetary policy and the desirability of simple policy rules. He analyzes several extensions of the baseline model, allowing for cost-push shocks, nominal wage rigidities, and open economy factors. In each case, the effects on monetary policy are addressed, with emphasis on the desirability of inflation-targeting policies. New material includes the zero lower bound on nominal interest rates and an analysis of unemployment’s significance for monetary policy. - The most up-to-date introduction to the New Keynesian framework available. - A single benchmark model used throughout. - New materials and exercises included. - An ideal resource for graduate students, researchers, and market analysts.
Артикул
3063541
Издательство
Тип обложки
твердый переплет
Автор
Штрих код
9780691174174
Год
Страниц
392
Томов
1
Размеры
229x152 мм
Вес
548 гр.
Импортер
ООО «Абрис-Бел». 220112, РБ, г. Минск, ул. Cырокомли 7-167
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