Great Feuds in Mathematics

Great Feuds in Mathematics PDF Author: Hal Hellman
Publisher: Turner Publishing Company
ISBN: 1118040112
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Praise for Hal Hellman Great Feuds in Mathematics "Those who think that mathematicians are cold, mechanical proving machines will do well to read Hellman's book on conflicts in mathematics. The main characters are as excitable and touchy as the next man. But Hellman's stories also show how scientific fights bring out sharper formulations and better arguments." -Professor Dirk van Dalen, Philosophy Department, Utrecht University Great Feuds in Technology "There's nothing like a good feud to grab your attention. And when it comes to describing the battle, Hal Hellman is a master." -New Scientist Great Feuds in Science "Unusual insight into the development of science . . . I was excited by this book and enthusiastically recommend it to general as well as scientific audiences." -American Scientist "Hellman has assembled a series of entertaining tales . . . many fine examples of heady invective without parallel in our time." -Nature Great Feuds in Medicine "This engaging book documents [the] reactions in ten of the most heated controversies and rivalries in medical history. . . . The disputes detailed are . . . fascinating. . . . It is delicious stuff here." -The New York Times "Stimulating." -Journal of the American Medical Association

A Strange Wilderness

A Strange Wilderness PDF Author: Amir D. Aczel
Publisher: Union Square + ORM
ISBN: 1402790856
Category : Biography & Autobiography
Languages : en
Pages : 328

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Book Description
The international bestselling author of Fermat’s Last Theorem explores the eccentric lives of history’s foremost mathematicians. From Archimedes’s eureka moment to Alexander Grothendieck’s seclusion in the Pyrenees, bestselling author Amir Aczel selects the most compelling stories in the history of mathematics, creating a colorful narrative that explores the quirky personalities behind some of the most groundbreaking, influential, and enduring theorems. Alongside revolutionary innovations are incredible tales of duels, battlefield heroism, flamboyant arrogance, pranks, secret societies, imprisonment, feuds, and theft—as well as some costly errors of judgment that prove genius doesn’t equal street smarts. Aczel’s colorful and enlightening profiles offer readers a newfound appreciation for the tenacity, complexity, eccentricity, and brilliance of our greatest mathematicians.

Great Feuds in Science

Great Feuds in Science PDF Author: Hal Hellman
Publisher: Turner Publishing Company
ISBN: 0470311762
Category : Science
Languages : en
Pages : 303

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Book Description
The dramatic stories of ten historic feuds: How they altered the course of discovery-and shaped the modern world Hall Hellman tells the lively stories of ten of the most outrageous and intriguing disputes from the seventeenth to the twentieth centuries. Bringing the cataclysmic clash of ideas and personalities to colorful life, Hellman explores both the science and the spirit of the times. Along the way, he reveals that scientific feuds are fueled not only by the purest of intellectual disagreements, but also by intransigence, ambition, jealousy, politics, faith, and the irresistible human urge to be right. Unusual insight into the development of science . . . I was excited by this book and enthusiastically recommend it to general as well as scientific audiences. -American Scientist Hellman has assembled a series of entertaining tales. . . . many fine examples of heady invective without parallel in our time. -Nature An entertaining and informative account of the unusual personalities and sometimes bitter rivalries of some of the world's greatest scientific minds. -Publishers Weekly A fascinating new book which details some of the most famous disputes of the ages.-Courier Mail Dry science history turns into entertaining reading without sacrificing historical accuracy. -The Christchurch Press Great Feuds in Science is wonderful history, as the reader learns how scientists had to fight with religious leaders and other scientists to get their work recognized, accepted, and even get the credit for it! -Bookviews

Scientific Feuds

Scientific Feuds PDF Author: Joel Levy
Publisher: Fox Chapel Publishing
ISBN: 1607652471
Category : History
Languages : en
Pages : 324

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Book Description
Most science chronicles present a triumphant march through time, with revolutionary thinkers and their discoveries following in orderly progression. The truth, however, is somewhat different. Scientific Feuds is a collection of the most vicious battles among the greatest minds of our time. It features such contests as Huxley and Wilberforce's debate on Darwin's theory of evolution, Franklin and Wilkins' fight over the discovery of DNA, and the “War of Currents” between Tesla and Edison (which ended with Edison electrocuting dogs and horses in a vain attempt to discredit Tesla's work). From passionate competition to vindictive sniping, these rivalries prove that the world of science is far from cold and methodical.

Bernoulli's Fallacy

Bernoulli's Fallacy PDF Author: Aubrey Clayton
Publisher: Columbia University Press
ISBN: 0231553358
Category : Mathematics
Languages : en
Pages : 641

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Book Description
There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics. Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach—that is, to incorporate prior knowledge when reasoning with incomplete information—in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data—and how to fix it.

The Shape of a Life

The Shape of a Life PDF Author: Shing-Tung Yau
Publisher: Yale University Press
ISBN: 0300245521
Category : Science
Languages : en
Pages : 449

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Book Description
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist

Shape

Shape PDF Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481

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Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

A Most Elegant Equation

A Most Elegant Equation PDF Author: David Stipp
Publisher: Basic Books
ISBN: 0465093787
Category : Mathematics
Languages : en
Pages : 240

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Book Description
An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

Towards Higher Mathematics: A Companion

Towards Higher Mathematics: A Companion PDF Author: Richard Earl
Publisher: Cambridge University Press
ISBN: 1108327184
Category : Mathematics
Languages : en
Pages : 546

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Book Description
Containing a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university. The author covers substantial extension material using the language of sixth form mathematics, thus enabling students to understand the more complex material. Exercises are carefully chosen to introduce students to some central ideas, without building up large amounts of abstract technology. There are over 1500 carefully graded exercises, with hints included in the text, and solutions available online. Historical and contextual asides highlight each area of mathematics and show how it has developed over time.

Learning and Teaching Mathematics in The Global Village

Learning and Teaching Mathematics in The Global Village PDF Author: Marcel Danesi
Publisher: Springer
ISBN: 331932280X
Category : Education
Languages : en
Pages : 185

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Book Description
This book provides a fundamental reassessment of mathematics education in the digital era. It constitutes a new mindset of how information and knowledge are processed by introducing new interconnective and interactive pedagogical approaches. Math education is catching up on technology, as courses and materials use digital sources and resources more and more. The time has come to evaluate this new dynamic, which transcends all previous use of ancillary devices to supplement classroom math instruction. Interactivity and interconnectivity with the online world of math and math texts (such as television programs and internet sites) can be integrated with our traditional modes for delivery of math instruction. This book looks at how this integration can unfold practically by applying these relevant pedagogical principles to elementary topics such as numeration, arithmetic, algebra, story problems, combinatorics, and basic probability theory. The book further exemplifies how mathematics can be connected to topics in popular culture, information technologies, and other such domains.