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Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.
This fascinating narrative history of math in America introduces readers to the diverse and vibrant people behind pivotal moments in the nation's mathematical maturation. Once upon a time in America, few knew or cared about math. In Republic of Numbers, David Lindsay Roberts tells the story of how all that changed, as America transformed into a powerhouse of mathematical thinkers. Covering more than 200 years of American history, Roberts recounts the life stories of twenty-three Americans integral to the evolution of mathematics in this country. Beginning with self-taught Salem mathematician Nathaniel Bowditch's unexpected breakthroughs in ocean navigation and closing with the astounding work Nobel laureate John Nash did on game theory, this book is meant to be read cover to cover. Revealing the marvelous ways in which America became mathematically sophisticated, the book introduces readers to Kelly Miller, the first black man to attend Johns Hopkins, who brilliantly melded mathematics and civil rights activism; Izaak Wirszup, a Polish immigrant who survived the Holocaust and proceeded to change the face of American mathematical education; Grace Hopper, the "Machine Whisperer," who pioneered computer programming; and many other relatively unknown but vital figures. As he brings American history and culture to life, Roberts also explains key mathematical concepts, from the method of least squares, propositional logic, quaternions, and the mean-value theorem to differential equations, non-Euclidean geometry, group theory, statistical mechanics, and Fourier analysis. Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.
The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.
The Republic is a Socratic dialogue, written by Plato around 380 BC, concerning justice, the order and character of the just city-state, and the just man. It is Plato's best-known work, and has proven to be one of the world's most influential works of philosophy and political theory, both intellectually and historically. In the dialogue, Socrates talks with various Athenians and foreigners about the meaning of justice and whether the just man is happier than the unjust man. They consider the natures of existing regimes and then propose a series of different, hypothetical cities in comparison, culminating in Kallipolis, a city-state ruled by a philosopher king. They also discuss the theory of forms, the immortality of the soul, and the role of the philosopher and of poetry in society. The dialogue's setting seems to be during the Peloponnesian War. In the first book, two definitions of justice are proposed but deemed inadequate.[14] Returning debts owed, and helping friends while harming enemies, are commonsense definitions of justice that, Socrates shows, are inadequate in exceptional situations, and thus lack the rigidity demanded of a definition. Yet he does not completely reject them, for each expresses a commonsense notion of justice that Socrates will incorporate into his discussion of the just regime in books II through V. At the end of Book I, Socrates agrees with Polemarchus that justice includes helping friends, but says the just man would never do harm to anybody. Thrasymachus believes that Socrates has done the men present an injustice by saying this and attacks his character and reputation in front of the group, partly because he suspects that Socrates himself does not even believe harming enemies is unjust. Thrasymachus gives his understanding of justice and injustice as "justice is what is advantageous to the stronger, while injustice is to one's own profit and advantage".[15] Socrates finds this definition unclear and begins to question Thrasymachus. Socrates then asks whether the ruler who makes a mistake by making a law that lessens their well-being, is still a ruler according to that definition. Thrasymachus agrees that no true ruler would make such an error. This agreement allows Socrates to undermine Thrasymachus' strict definition of justice by comparing rulers to people of various professions. Thrasymachus consents to Socrates' assertion that an artist is someone who does his job well, and is a knower of some art, which allows him to complete the job well. In so doing Socrates gets Thrasymachus to admit that rulers who enact a law that does not benefit them firstly, are in the precise sense not rulers. Thrasymachus gives up, and is silent from then on. Socrates has trapped Thrasymachus into admitting the strong man who makes a mistake is not the strong man in the precise sense, and that some type of knowledge is required to rule perfectly. However, it is far from a satisfactory definition of justice.
Begins with study of history of statistics, and shows how the evolution of modern statistics has been inextricably bound up with the knowledge and power of governments.
In this engagingly written biography, Tamara Plakins Thornton delves into the life and work of Nathaniel Bowditch (1773-1838), a man Thomas Jefferson once called a "meteor in the hemisphere." Bowditch was a mathematician, astronomer, navigator, seafarer, and business executive whose Enlightenment-inspired perspectives shaped nineteenth-century capitalism while transforming American life more broadly. Enthralled with the precision and certainty of numbers and the unerring regularity of the physical universe, Bowditch operated and represented some of New England's most powerful institutions—from financial corporations to Harvard College—as clockwork mechanisms. By examining Bowditch's pathbreaking approaches to institutions, as well as the political and social controversies they provoked, Thornton's biography sheds new light on the rise of capitalism, American science, and social elites in the early republic. Fleshing out the multiple careers of Nathaniel Bowditch, this book is at once a lively biography, a window into the birth of bureaucracy, and a portrait of patrician life, giving us a broader, more-nuanced understanding of how powerful capitalists operated during this era and how the emerging quantitative sciences shaped the modern experience.
This book analyses the quality of statistics such as geographic area, census population and sample survey statistics in a developing country. Using field interviews, archival sources, and secondary data covering the last seven decades, it explores the shifting relations between various kinds of statistics over their lifecycles and charts their cradle-to-grave political career. It uncovers a mutually constitutive relationship between data, development, and democracy and offers an exciting account of how government statistics are social artefacts dynamically shaped by political and economic factors. The book also quantifies the impact of data quality on the statistics of interest to policy makers such as household consumption expenditure and federal transfers. Numbers in India's Periphery makes a major contribution to the growing literature on the political economy of statistics in developing countries through a novel analysis of the shifting determinants of the nature of data in North East India.
NATIONAL BESTSELLER • “A wheeling meditation on the wired life, on privacy, on what being human in the age of binary code might mean” (The New York Times), from the Pulitzer Prize–winning author of The Netanyahus NAMED ONE OF THE TEN BEST BOOKS OF THE YEAR BY VULTURE AND ONE OF THE BEST BOOKS OF THE YEAR BY NPR AND THE WALL STREET JOURNAL “Shatteringly powerful . . . I cannot think of anything by anyone in [Cohen’s] generation that is so frighteningly relevant and composed with such continuous eloquence. There are moments in it that seem to transcend our impasse.”—Harold Bloom The enigmatic billionaire founder of Tetration, the world’s most powerful tech company, hires a failed novelist, Josh Cohen, to ghostwrite his memoirs. The mogul, known as Principal, brings Josh behind the digital veil, tracing the rise of Tetration, which started in the earliest days of the Internet by revolutionizing the search engine before venturing into smartphones, computers, and the surveillance of American citizens. Principal takes Josh on a mind-bending world tour from Palo Alto to Dubai and beyond, initiating him into the secret pretext of the autobiography project and the life-or-death stakes that surround its publication. Insider tech exposé, leaked memoir-in-progress, international thriller, family drama, sex comedy, and biblical allegory, Book of Numbers renders the full range of modern experience both online and off. Embodying the Internet in its language, it finds the humanity underlying the virtual. Featuring one of the most unforgettable characters in contemporary fiction, Book of Numbers is an epic of the digital age, a triumph of a new generation of writers, and one of those rare books that renew the idea of what a novel can do. Praise for Book of Numbers “The Great American Internet Novel is here. . . . Book of Numbers is a fascinating look at the dark heart of the Web. . . . A page-turner about life under the veil of digital surveillance . . . one of the best novels ever written about the Internet.”—Rolling Stone “A startlingly talented novelist.”—The Wall Street Journal “Remarkable . . . dazzling . . . Cohen’s literary gifts . . . suggest that something is possible, that something still might be done to safeguard whatever it is that makes us human.”—Francine Prose, The New York Review of Books