Republic of Numbers

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Release : 2019-10-08
Genre : Mathematics
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Book Rating : 095/5 ( reviews)

Republic of Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Republic of Numbers write by David Lindsay Roberts. This book was released on 2019-10-08. Republic of Numbers available in PDF, EPUB and Kindle. 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.

Republic of Numbers

Download Republic of Numbers PDF Online Free

Author :
Release : 2019-10-08
Genre : Mathematics
Kind :
Book Rating : 087/5 ( reviews)

Republic of Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Republic of Numbers write by David Lindsay Roberts. This book was released on 2019-10-08. Republic of Numbers available in PDF, EPUB and Kindle. Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.

Numbers Rule

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Release : 2020-11-03
Genre : History
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Book Rating : 081/5 ( reviews)

Numbers Rule - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numbers Rule write by George Szpiro. This book was released on 2020-11-03. Numbers Rule available in PDF, EPUB and Kindle. 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

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Release : 1925
Genre : History
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Book Rating : /5 ( reviews)

The Republic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Republic write by Plato. This book was released on 1925. The Republic available in PDF, EPUB and Kindle. 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.

The Politics of Large Numbers

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Release : 1998
Genre : History
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Book Rating : 691/5 ( reviews)

The Politics of Large Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Politics of Large Numbers write by Alain Desrosières. This book was released on 1998. The Politics of Large Numbers available in PDF, EPUB and Kindle. 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.