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Math Without Numbers

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Release : 2022-01-11
Genre : Mathematics
Kind : eBook
Book Rating : 561/5 ( reviews)

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Book Synopsis Math Without Numbers by : Milo Beckman

Download or read book Math Without Numbers written by Milo Beckman. This book was released on 2022-01-11. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Mathematics without Numbers

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Author :
Release : 1989-10-12
Genre : Philosophy
Kind : eBook
Book Rating : 11X/5 ( reviews)

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Book Synopsis Mathematics without Numbers by : Geoffrey Hellman

Download or read book Mathematics without Numbers written by Geoffrey Hellman. This book was released on 1989-10-12. Available in PDF, EPUB and Kindle. Book excerpt: Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.

Mathematics Without Numbers

Download Mathematics Without Numbers PDF Online Free

Author :
Release : 1989
Genre : Mathematics
Kind : eBook
Book Rating : 341/5 ( reviews)

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Book Synopsis Mathematics Without Numbers by : Geoffrey Hellman

Download or read book Mathematics Without Numbers written by Geoffrey Hellman. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.

Numbers Rule

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

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Book Synopsis Numbers Rule by : George Szpiro

Download or read book Numbers Rule written by George Szpiro. This book was released on 2020-11-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Are Numbers Real?

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Release : 2016-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 041/5 ( reviews)

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Book Synopsis Are Numbers Real? by : Brian Clegg

Download or read book Are Numbers Real? written by Brian Clegg. This book was released on 2016-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.

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