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Numbers Rule: The Vexing Mathematics of Democracy, from Plato to the Present, Szpiro George


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Автор: Szpiro George
Название:  Numbers Rule: The Vexing Mathematics of Democracy, from Plato to the Present
ISBN: 9780691209081
Издательство: Wiley
Классификация:




ISBN-10: 0691209081
Обложка/Формат: Paperback
Страницы: 240
Вес: 0.34 кг.
Дата издания: 06.10.2020
Язык: English
Иллюстрации: 21 tables.
Размер: 231 x 155 x 20
Читательская аудитория: Tertiary education (us: college)
Подзаголовок: The vexing mathematics of democracy, from plato to the present
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

A lively history of the peculiar math of voting

Since the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians. Numbers Rule traces the epic quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each new generation places on our democratic institutions.

In a sweeping narrative that combines history, biography, and mathematics, George Szpiro details the fascinating lives and big ideas of great minds such as Plato, Pliny the Younger, Ramon Llull, Pierre Simon Laplace, Thomas Jefferson, Alexander Hamilton, John von Neumann, and Kenneth Arrow, among many others. Each chapter in this riveting book tells the story of one or more of these visionaries and the problem they sought to overcome, like the Marquis de Condorcet, the eighteenth-century French nobleman who demonstrated that a majority vote in an election might not necessarily result in a clear winner. Szpiro takes readers from ancient Greece and Rome to medieval Europe, from the founding of the American republic and the French Revolution to todays high-stakes elective politics. He explains how mathematical paradoxes and enigmas can crop up in virtually any voting arena, from electing a class president, a pope, or prime minister to the apportionment of seats in Congress.

Numbers Rule describes the trials and triumphs of the thinkers down through the ages who have dared the odds in pursuit of a just and equitable democracy.




Prime Numbers and the Riemann Hypothesis

Автор: Mazur
Название: Prime Numbers and the Riemann Hypothesis
ISBN: 1107499437 ISBN-13(EAN): 9781107499430
Издательство: Cambridge Academ
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Цена: 3802.00 р.
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Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.

Prime Numbers and the Riemann Hypothesis

Автор: Mazur
Название: Prime Numbers and the Riemann Hypothesis
ISBN: 1107101921 ISBN-13(EAN): 9781107101920
Издательство: Cambridge Academ
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Цена: 8395.00 р.
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Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.

The World of Numbers

Автор: McKay
Название: The World of Numbers
ISBN: 1107494990 ISBN-13(EAN): 9781107494992
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: Originally published in 1946, this book explains important aspects of the world through the lens of mathematics. McKay discusses important questions such as time, the size of the earth and `numbers that mean too much` in language that is enthusiastic and easily accessible to non-mathematicians.

A History of the Theory of Elasticity and of the Strength of Materials

Автор: Todhunter
Название: A History of the Theory of Elasticity and of the Strength of Materials
ISBN: 1108070426 ISBN-13(EAN): 9781108070423
Издательство: Cambridge Academ
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Цена: 10138.00 р.
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Описание: A distinguished mathematician and notable university teacher, Isaac Todhunter (1820-84) became known in his time for his successful textbooks. Edited and completed by Karl Pearson (1857-1936), and published between 1886 and 1893, this three-part work traces the mathematical understanding of elasticity from Galileo to Lord Kelvin.

A History of the Theory of Elasticity and of the Strength of Materials

Автор: Todhunter
Название: A History of the Theory of Elasticity and of the Strength of Materials
ISBN: 1108070434 ISBN-13(EAN): 9781108070430
Издательство: Cambridge Academ
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Цена: 9187.00 р.
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Описание: A distinguished mathematician and notable university teacher, Isaac Todhunter (1820-84) became known in his time for his successful textbooks. Edited and completed by Karl Pearson (1857-1936), and published between 1886 and 1893, this three-part work traces the mathematical understanding of elasticity from Galileo to Lord Kelvin.

Arithmetical Books from the Invention of Printing to the Present Time

Автор: De Morgan
Название: Arithmetical Books from the Invention of Printing to the Present Time
ISBN: 1108070957 ISBN-13(EAN): 9781108070959
Издательство: Cambridge Academ
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Цена: 3802.00 р.
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Описание: The mathematician Augustus De Morgan (1806-71) published this 1847 work with the intention of supplying a more accurate bibliography than had hitherto existed. Limiting himself to books which he himself had examined, he compiled a chronological catalogue from 1491 to 1846, drawing on books from public and private collections.

A History of the Theory of Elasticity and of the Strength of Materials

Автор: Todhunter
Название: A History of the Theory of Elasticity and of the Strength of Materials
ISBN: 1108070442 ISBN-13(EAN): 9781108070447
Издательство: Cambridge Academ
Рейтинг:
Цена: 7286.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: A distinguished mathematician and notable university teacher, Isaac Todhunter (1820-84) became known in his time for his successful textbooks. Edited and completed by Karl Pearson (1857-1936), and published between 1886 and 1893, this three-part work traces the mathematical understanding of elasticity from Galileo to Lord Kelvin.

Real Numbers, Generalizations of the Reals, and Theories of Continua

Автор: P. Ehrlich
Название: Real Numbers, Generalizations of the Reals, and Theories of Continua
ISBN: 9048143624 ISBN-13(EAN): 9789048143627
Издательство: Springer
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Цена: 27944.00 р.
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Описание: Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy.

Game of probability

Автор: Campe, Rudiger
Название: Game of probability
ISBN: 080476865X ISBN-13(EAN): 9780804768658
Издательство: Wiley EDC
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Цена: 6006.00 р.
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Описание:

There exist literary histories of probability and scientific histories of probability, but it has generally been thought that the two did not meet. Campe begs to differ. Mathematical probability, he argues, took over the role of the old probability of poets, orators, and logicians, albeit in scientific terms. Indeed, mathematical probability would not even have been possible without the other probability, whose roots lay in classical antiquity.

The Game of Probability revisits the seventeenth and eighteenth-century "probabilistic revolution," providing a history of the relations between mathematical and rhetorical techniques, between the scientific and the aesthetic. This was a revolution that overthrew the "order of things," notably the way that science and art positioned themselves with respect to reality, and its participants included a wide variety of people from as many walks of life. Campe devotes chapters to them in turn. Focusing on the interpretation of games of chance as the model for probability and on the reinterpretation of aesthetic form as verisimilitude (a critical question for theoreticians of that new literary genre, the novel), the scope alone of Campe's book argues for probability's crucial role in the constitution of modernity.

The Game of Probability: Literature and Calculation from Pascal to Kleist

Автор: Rudiger Campe
Название: The Game of Probability: Literature and Calculation from Pascal to Kleist
ISBN: 0804768641 ISBN-13(EAN): 9780804768641
Издательство: Wiley EDC
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Цена: 17675.00 р.
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Описание:

There exist literary histories of probability and scientific histories of probability, but it has generally been thought that the two did not meet. Campe begs to differ. Mathematical probability, he argues, took over the role of the old probability of poets, orators, and logicians, albeit in scientific terms. Indeed, mathematical probability would not even have been possible without the other probability, whose roots lay in classical antiquity.

The Game of Probability revisits the seventeenth and eighteenth-century "probabilistic revolution," providing a history of the relations between mathematical and rhetorical techniques, between the scientific and the aesthetic. This was a revolution that overthrew the "order of things," notably the way that science and art positioned themselves with respect to reality, and its participants included a wide variety of people from as many walks of life. Campe devotes chapters to them in turn. Focusing on the interpretation of games of chance as the model for probability and on the reinterpretation of aesthetic form as verisimilitude (a critical question for theoreticians of that new literary genre, the novel), the scope alone of Campe's book argues for probability's crucial role in the constitution of modernity.

Concise History of Mathematics for Philosophers .

Автор: Stillwell John
Название: Concise History of Mathematics for Philosophers .
ISBN: 1108456235 ISBN-13(EAN): 9781108456234
Издательство: Cambridge Academ
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Цена: 2851.00 р.
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Описание: Presents an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. Ranges from ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous.

The Story of Algebraic Numbers in the First Half of the 20th Century

Автор: W?adys?aw Narkiewicz
Название: The Story of Algebraic Numbers in the First Half of the 20th Century
ISBN: 3030037533 ISBN-13(EAN): 9783030037536
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.


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