Book picks similar to
Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers by Joseph Mazur
mathematics
non-fiction
math
history
On Monsters: An Unnatural History of Our Worst Fears
Stephen T. Asma - 2009
Beginning at the time of Alexander the Great, the monsters come fast and furious--Behemoth and Leviathan, Gog and Magog, Satan and his demons, Grendel and Frankenstein, circus freaks and headless children, right up to the serial killers and terrorists of today and the post-human cyborgs oftomorrow. Monsters embody our deepest anxieties and vulnerabilities, Asma argues, but they also symbolize the mysterious and incoherent territory beyond the safe enclosures of rational thought. Exploring sources as diverse as philosophical treatises, scientific notebooks, and novels, Asma unravelstraditional monster stories for the clues they offer about the inner logic of an era's fears and fascinations. In doing so, he illuminates the many ways monsters have become repositories for those human qualities that must be repudiated, externalized, and defeated.
Heavenly Intrigue: Johannes Kepler, Tycho Brahe, and the Murder Behind One of History's Greatest Scientific Discoveries
Joshua Gilder - 2004
That collaboration would mark the dawn of modern science . . . and end in murder.Johannes Kepler changed forever our understanding of the universe with his three laws of planetary motion. He demolished the ancient model of planets moving in circular orbits and laid the foundation for the universal law of gravitation, setting physics on the course of revelation it follows to this day. Kepler was one of the greatest astronomers of all time. Yet if it hadn't been for the now lesser-known Tycho Brahe, the man for whom Kepler apprenticed, Kepler would be a mere footnote in today's science books. Brahe was the Imperial Mathematician at the court of the Holy Roman Emperor in Prague and the most famous astronomer of his era. He was one of the first great systematic empirical scientists and one of the earliest founders of the modern scientific method. His forty years of planetary observations—an unparalleled treasure of empirical data—contained the key to Kepler's historic breakthrough. But those observations would become available to Kepler only after Brahe's death. This groundbreaking history portrays the turbulent collaboration between these two astronomers at the turn of the seventeenth century and their shattering discoveries that would mark the transition from medieval to modern science. But that is only half the story. Based on recent forensic evidence (analyzed here for the first time) and original research into medieval and Renaissance alchemy—all buttressed by in-depth interviews with leading historians, scientists, and medical specialists—the authors have put together shocking and compelling evidence that Tycho Brahe did not die of natural causes, as has been believed for four hundred years. He was systematically poisoned—most likely by his assistant, Johannes Kepler. An epic tale of murder and scientific discovery, Heavenly Intrigue reveals the dark side of one of history’s most brilliant minds and tells the story of court politics, personal intrigue, and superstition that surrounded the protean invention of two great astronomers and their quest to find truth and beauty in the heavens above.
Six Easy Pieces: Essentials of Physics By Its Most Brilliant Teacher
Richard P. Feynman - 1995
This set couples a book containing the six easiest chapters from Richard P. Feynman's landmark work, Lectures on Physics—specifically designed for the general, non-scientist reader—with the actual recordings of the late, great physicist delivering the lectures on which the chapters are based. Nobel Laureate Feynman gave these lectures just once, to a group of Caltech undergraduates in 1961 and 1962, and these newly released recordings allow you to experience one of the Twentieth Century's greatest minds—as if you were right there in the classroom.
Siddhartha's Brain: Unlocking the Ancient Science of Enlightenment
James Kingsland - 2016
Twenty-five centuries later, humans have transformed everything about our world—except our brains, which remain the same powerful yet flawed instruments possessed by our ancestors. What if the solution we seek to the psychological problems of life in the digital age—distraction, anxiety, addiction, loss of deep meaning—had already been worked out by the Buddha in ancient India? Appealing to readers of Eastern wisdom and Jon Kabat-Zinn, as well as to fans of bestsellers by Oliver Sacks and Malcolm Gladwell, acclaimed science writer and practicing Buddhist James Kingsland reveals how scientists are now unlocking the remarkable secrets of Siddhartha’s brain.Moving effortlessly between science and scripture, Kingsland charts Siddhartha’s spiritual journey and explains how new research by leading neuroscientists and clinical psychologists—many of whom are interviewed in these pages—suggests that mindfulness practice reconfigures our brains to make us sharper, smarter, healthier, and happier, and that it can help treat stress, anxiety, depression, chronic pain, hypertension, and substance abuse. There have even been hints that meditation can enhance immune function, slow cellular aging, and keep dementia at bay. Featuring six guided meditations, Siddhartha’s Brain is a practical and inspiring odyssey of mind and spirit.“Our life is shaped by our mind; we become what we think.”—Siddhartha
E=mc²: A Biography of the World's Most Famous Equation
David Bodanis - 2000
Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee
Number: The Language of Science
Tobias Dantzig - 1930
Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.
The Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser
Jason Rosenhouse - 2009
Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
Philosophy of Mathematics: Selected Readings
Paul Benacerraf - 1983
In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Free Radicals: The Secret Anarchy of Science
Michael Brooks - 2011
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Sapiens: A Brief History of Humankind
Yuval Noah Harari - 2011
Today there is just one. Us. Homo sapiens. How did our species succeed in the battle for dominance? Why did our foraging ancestors come together to create cities and kingdoms? How did we come to believe in gods, nations and human rights; to trust money, books and laws; and to be enslaved by bureaucracy, timetables and consumerism? And what will our world be like in the millennia to come? In Sapiens, Dr Yuval Noah Harari spans the whole of human history, from the very first humans to walk the earth to the radical – and sometimes devastating – breakthroughs of the Cognitive, Agricultural and Scientific Revolutions. Drawing on insights from biology, anthropology, paleontology and economics, he explores how the currents of history have shaped our human societies, the animals and plants around us, and even our personalities. Have we become happier as history has unfolded? Can we ever free our behaviour from the heritage of our ancestors? And what, if anything, can we do to influence the course of the centuries to come? Bold, wide-ranging and provocative, Sapiens challenges everything we thought we knew about being human: our thoughts, our actions, our power ... and our future.
The Happiness Myth: Why What We Think Is Right Is Wrong
Jennifer Michael Hecht - 2007
Our rules for living are more like the history of pop songs. They make weird sense only to the people of each given time period. They aren't true. This book shows you how past myths functioned, and likewise how our myths of today function, and thus lets you out of the trap of thinking you have to pay heed to any of them."The Happiness Myth is a fascinating cultural history that both reveals our often silly assumptions about how we pursue happiness today and offers up real historical lessons that have stood the test of time. Hecht delivers memorable insights into the five practical means we choose to achieve happiness: wisdom, drugs, money, bodies, and celebration.Hecht liberates us from today's scolding, quasi-scientific messages that insist there is only one way to care for our minds and bodies. Hecht looks at contemporary happiness advice and explains why much of it doesn't work. "Modern culture," she writes, "is misrepresenting me and spending a lot of money to do it."Rich with hilarious anecdotes about both failed and successful paths to happiness, Hecht's book traces a common thread of advice—she calls it "sour charm wisdom"—that we can still apply today to create authentic, lasting happiness.
The Principia: Mathematical Principles of Natural Philosophy
Isaac Newton - 1687
Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.
To Mock a Mockingbird and Other Logic Puzzles
Raymond M. Smullyan - 1985
It contains many puzzles and their solutions and aims to attract many readers in an age where computer science, logic, and mathematics are becoming increasingly important and popular.
The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us
Noson S. Yanofsky - 2013
This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
The Book of Why: The New Science of Cause and Effect
Judea Pearl - 2018
Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.