In Praise Of Mathematics

Author : Alain Badiou
Publisher : John Wiley & Sons
Page : 144 pages
File Size : 54,8 Mb
Release : 2017-05-23
Category : Philosophy
ISBN : 9781509512041

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In Praise of Mathematics by Alain Badiou Pdf

Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it’s not worth an hour of trouble? What possible relationship can there be between mathematics and happiness? That is precisely the issue at stake in this dialogue, which serves as a very accessible introduction to what mathematics is and an exploration of the crucial influence it has always exerted on the greatest philosophers. Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 268 pages
File Size : 47,5 Mb
Release : 2017-09-19
Category : Science
ISBN : 9780691178523

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In Praise of Simple Physics by Paul J. Nahin Pdf

Fun puzzles that use physics to explore the wonders of everyday life Physics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With In Praise of Simple Physics, popular math and science writer Paul Nahin presents a plethora of situations that explore the science and math behind the wonders of everyday life. Roaming through a diverse range of puzzles, he illustrates how physics shows us ways to wring more energy from renewable sources, to measure the gravity in our car garages, to figure out which of three light switches in the basement controls the light bulb in the attic, and much, much more. How fast can you travel from London to Paris? How do scientists calculate the energy of an atomic bomb explosion? How do you kick a football so it stays in the air and goes a long way downfield? Nahin begins with simpler problems and progresses to more challenging questions, and his entertaining, accessible, and scientifically and mathematically informed explanations are all punctuated by his trademark humor. Readers are presumed to have some background in beginning differential and integral calculus. Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you. In Praise of Simple Physics proves that if we look carefully at the world around us, physics has answers for the most astonishing day-to-day occurrences.

Author : Marc Chamberland
Publisher : Princeton University Press
Page : 240 pages
File Size : 52,5 Mb
Release : 2017-05-30
Category : Mathematics
ISBN : 9780691175690

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Single Digits by Marc Chamberland Pdf

"The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics."--Jacket.

Author : Ian Stewart
Publisher : Courier Corporation
Page : 368 pages
File Size : 53,7 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486134956

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Concepts of Modern Mathematics by Ian Stewart Pdf

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Author : Eugenia Cheng
Publisher : Profile Books
Page : 204 pages
File Size : 48,7 Mb
Release : 2017-03-09
Category : Mathematics
ISBN : 9781782830818

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Beyond Infinity by Eugenia Cheng Pdf

SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Author : John Stillwell
Publisher : CRC Press
Page : 291 pages
File Size : 50,7 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9780429998027

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Yearning for the Impossible by John Stillwell Pdf

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.

Author : John J. SanGiovanni,Susie Katt,Kevin J. Dykema
Publisher : Corwin
Page : 217 pages
File Size : 53,6 Mb
Release : 2020-03-09
Category : Education
ISBN : 9781544369433

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Productive Math Struggle by John J. SanGiovanni,Susie Katt,Kevin J. Dykema Pdf

All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work

Author : George M. Phillips
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461211808

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Two Millennia of Mathematics by George M. Phillips Pdf

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.

Author : René Thom
Publisher : Unknown
Page : 128 pages
File Size : 48,9 Mb
Release : 2017
Category : Electronic
ISBN : 0993926932

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In Praise of Mathematics by René Thom Pdf

Author : E. T. Bell
Publisher : Courier Corporation
Page : 657 pages
File Size : 40,7 Mb
Release : 2012-09-11
Category : Mathematics
ISBN : 9780486152288

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The Development of Mathematics by E. T. Bell Pdf

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Author : Cathy O'Neil
Publisher : Crown Publishing Group (NY)
Page : 274 pages
File Size : 42,6 Mb
Release : 2016
Category : Business & Economics
ISBN : 9780553418811

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Weapons of Math Destruction by Cathy O'Neil Pdf

"A former Wall Street quantitative analyst sounds an alarm on mathematical modeling, a pervasive new force in society that threatens to undermine democracy and widen inequality,"--NoveList.

Author : Claudia Henrion
Publisher : Indiana University Press
Page : 366 pages
File Size : 47,5 Mb
Release : 1997-10-22
Category : Social Science
ISBN : 0253114993

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Women in Mathematics by Claudia Henrion Pdf

"... a wonderful addition to any mathematics teacher's professional bookshelf." -- The Mathematics Teacher "The individual biographies themselves make for enthralling, often inspiring, reading... this volume should be compelling reading for women mathematics students and professionals. A fine addition to the literature on women in science... Highly recommended." -- Choice "... it makes an important contribution to scholarship on the interrelations of gender, mathematics, and culture in the U.S. in the second half of the twentieth century." -- Notices of the AMS "Who is the audience for this book? Certainly women who are interested in studying mathematics and women already in mathematics who have become discouraged will find much to interest and help them. Faculty who teach such women would put it to good use. But it would be a loss to relegate the book to a shelf for occasional reference to an interested student or beginning mathematician. Everyone in the mathematics community in which each of Henrion's subjects struggled so hard to find a place could benefit by a thoughtful reading." -- Society for Industrial and Applied Mathematics (SIAM) News Mathematics is often described as the purest of the sciences, the least tainted by subjective or cultural influences. Theoretically, the only requirement for a life of mathematics is mathematical ability. And yet we see very few women mathematicians. Why? Based upon a series of ten intensive interviews with prominent women mathematicians throughout the United States, this book investigates the role of gender in the complex relationship between mathematician, the mathematical community, and mathematics itself.

Author : Julia Finley Mosca
Publisher : Amazing Scientists
Page : 0 pages
File Size : 41,6 Mb
Release : 2020-03
Category : Juvenile Nonfiction
ISBN : 1943147701

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The Girl with a Mind for Math by Julia Finley Mosca Pdf

After touring a German submarine in the early 1940s, young Raye set her sights on becoming an engineer. Little did she know sexism and racial inequality would challenge that dream every step of the way, even keeping her greatest career accomplishment a secret for decades. Through it all, the gifted mathematician persisted-- finally gaining her well-deserved title in history: a pioneer who changed the course of ship design forever.

Author : Israel Scheffler
Publisher : Routledge
Page : 190 pages
File Size : 49,6 Mb
Release : 2010-07-19
Category : Education
ISBN : 9781136955600

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In Praise of the Cognitive Emotions (Routledge Revivals) by Israel Scheffler Pdf

First published in 1991, In Praise of Cognitive Emotions comprises fourteen of Scheffler's most recent essays – all of which challenge contemporary notions of education and rationality. While defending the ideal of rationality, he insists that rationality not be identified with a mental faculty or a mechanism of inference but taken rather as the capactity to grasp principles and purposes and to evaluate them in the light of relevant reasons. Examining a broad range of issues – from computers in school to math education, from metaphor to morality – these essays are unified by Scheffler's conviction of the primacy of critical thought in education. Scheffler is especially concerned to promote a broad interpretation of rationality to counteract the narrowing of vision accompanying the technological revolution now sweeping education. Addressing three specific areas of curriculum, the work offers a critique of computer applications to education, develops a notion of strategic rationality in understanding mathematical reasoning, and, contrary to prevalent notions of moral education, connects reason with care, thus emphasizing the intimate connection between emotion and reason and challenging the dominant perception of the two as oppositional.

Author : John Stillwell
Publisher : CRC Press
Page : 249 pages
File Size : 53,9 Mb
Release : 2006-05-23
Category : Mathematics
ISBN : 9781439865774

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Yearning for the Impossible by John Stillwell Pdf

This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress: - Irrational and Imaginary Numbers - The Fourth Dimension - Curved Space - Infinity and others The author puts t