In 1656, Amsterdam’s Jewish community excommunicated Baruch Spinoza, and, at the age of twenty–three, he became the most famous heretic in Judaism. He was already germinating a secularist challenge to religion that would be as radical as it was original. He went on to produce one of the most ambitious systems in the history of Western philosophy, so ahead of its time that scientists today, from string theorists to neurobiologists, count themselves among Spinoza’s progeny.
In Betraying Spinoza, Rebecca Goldstein sets out to rediscover the flesh-and-blood man often hidden beneath the veneer of rigorous rationality, and to crack the mystery of the breach between the philosopher and his Jewish past. Goldstein argues that the trauma of the Inquisition’ s persecution of its forced Jewish converts plays itself out in Spinoza’s philosophy. The excommunicated Spinoza, no less than his excommunicators, was responding to Europe’ s first experiment with racial anti-Semitism.
Here is a Spinoza both hauntingly emblematic and deeply human, both heretic and hero—a surprisingly contemporary figure ripe for our own uncertain age.
From the Hardcover edition.
Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives.
Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.
Focus Philosophical Library translations are close to and are non-interpretative of the original text, with the notes and a glossary intending to provide the reader with some sense of the terms and the concepts as they were understood by Decartes' immediate audience.
The Focus Philosophical Library publishes clear, faithful editions enabling access for modern students to the essential ideas and wisdom of the world’s greatest thinkers.
The book grapples with these elusive mysteries, but at its heart is a fiery love story of startling urgency. Insights into quantum mechanics and relativity theory are attached to the nerve fibers of human emotions, and these connections are alive with poignancy and pathos.
For these characters, the passion to know and understand, like the desire for love, is full of terrible risk, holding out possibilities for heartbreak as well as for ecstasy. The true subject of Properties of Light is the ecstatic response to reality, perhaps the only response that can embrace the erotic and the poetic, the scientific and the spiritual. Written with, and about, a rare form of passion, this incandescent novel is fiction at its most daring and utterly original.
But while the importance of the calculus and mathematical analysis ― the core of modern mathematics ― cannot be overemphasized, the value of this first comprehensive critical history of the calculus goes far beyond the subject matter. This book will fully counteract the impression of laymen, and of many mathematicians, that the great achievements of mathematics were formulated from the beginning in final form. It will give readers a sense of mathematics not as a technique, but as a habit of mind, and serve to bridge the gap between the sciences and the humanities. It will also make abundantly clear the modern understanding of mathematics by showing in detail how the concepts of the calculus gradually changed from the Greek view of the reality and immanence of mathematics to the revised concept of mathematical rigor developed by the great 19th century mathematicians, which held that any premises were valid so long as they were consistent with one another. It will make clear the ideas contributed by Zeno, Plato, Pythagoras, Eudoxus, the Arabic and Scholastic mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, and many others in the long passage from the Greek "method of exhaustion" and Zeno's paradoxes to the modern concept of the limit independent of sense experience; and illuminate not only the methods of mathematical discovery, but the foundations of mathematical thought as well.
At the center is Cass Seltzer, a professor of psychology whose book, The Varieties of Religious Illusion, has become a surprise best seller. Dubbed “the atheist with a soul,” he wins over the stunning Lucinda Mandelbaum—“the goddess of game theory.” But he is haunted by reminders of two people who ignited his passion to understand religion: his teacher Jonas Elijah Klapper, a renowned literary scholar with a suspicious obsession with messianism, and an angelic six-year-old mathematical genius, heir to the leadership of an exotic Hasidic sect.
Hilarious, heartbreaking, and intellectually captivating, 36 Arguments explores the rapture and torments of religious experience in all its variety.
Most people are familiar with history's great equations: Newton's Law of Gravity, for instance, or Einstein's theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In In Pursuit of the Unknown, celebrated mathematician Ian Stewart untangles the roots of our most important mathematical statements to show that equations have long been a driving force behind nearly every aspect of our lives.
Using seventeen of our most crucial equations--including the Wave Equation that allowed engineers to measure a building's response to earthquakes, saving countless lives, and the Black-Scholes model, used by bankers to track the price of financial derivatives over time--Stewart illustrates that many of the advances we now take for granted were made possible by mathematical discoveries.
An approachable, lively, and informative guide to the mathematical building blocks of modern life, In Pursuit of the Unknown is a penetrating exploration of how we have also used equations to make sense of, and in turn influence, our world.
At the origin of Western philosophy stands Plato, who got about as much wrong as one would expect from a thinker who lived 2,400 years ago. But Plato’s role in shaping philosophy was pivotal. On her way to considering the place of philosophy in our ongoing intellectual life, Goldstein tells a new story of its origin, re-envisioning the extraordinary culture that produced the man who produced philosophy.
But it is primarily the fate of philosophy that concerns her. Is the discipline no more than a way of biding our time until the scientists arrive on the scene? Have they already arrived? Does philosophy itself ever make progress? And if it does, why is so ancient a figure as Plato of any continuing relevance? Plato at the Googleplex is Goldstein’s startling investigation of these conundra. She interweaves her narrative with Plato’s own choice for bringing ideas to life—the dialogue.
Imagine that Plato came to life in the twenty-first century and embarked on a multicity speaking tour. How would he handle the host of a cable news program who denies there can be morality without religion? How would he mediate a debate between a Freudian psychoanalyst and a tiger mom on how to raise the perfect child? How would he answer a neuroscientist who, about to scan Plato’s brain, argues that science has definitively answered the questions of free will and moral agency? What would Plato make of Google, and of the idea that knowledge can be crowd-sourced rather than reasoned out by experts? With a philosopher’s depth and a novelist’s imagination and wit, Goldstein probes the deepest issues confronting us by allowing us to eavesdrop on Plato as he takes on the modern world.
(With black-and-white photographs throughout.)
What do Fight Club, wallpaper patterns, George Balanchine's Serenade, and Italian superstitions have in common? They're all included in the entry for the number 17 in this engaging book about numbers- detailing their unique properties, patterns, appeal, history, and lore.
Author Derrick Niederman takes readers on a guided tour of the numbers 1 to 300-covering everything from basic mathematical principles to ancient unsolved theorems, from sublime theory to delightfully arcane trivia.
Illustrated with diagrams, drawings, and photographs, plus 50 challenging mathematical brainteasers (with answers), this book will fascinate and engage readers of all levels of mathematical skill and knowledge. Includes such gems as:
? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice
? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors
? Hells Angels use the number 81 in their insignia because the initials "H" and "A" are the eighth and first numbers in the alphabet respectively
The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.
Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?
How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.
Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
#1 NEW YORK TIMES BESTSELLER
Her name was Henrietta Lacks, but scientists know her as HeLa. She was a poor black tobacco farmer whose cells—taken without her knowledge in 1951—became one of the most important tools in medicine, vital for developing the polio vaccine, cloning, gene mapping, and more. Henrietta's cells have been bought and sold by the billions, yet she remains virtually unknown, and her family can't afford health insurance. This phenomenal New York Times bestseller tells a riveting story of the collision between ethics, race, and medicine; of scientific discovery and faith healing; and of a daughter consumed with questions about the mother she never knew.
The official book behind the Academy Award-winning film The Imitation Game, starring Benedict Cumberbatch and Keira Knightley
It is only a slight exaggeration to say that the British mathematician Alan Turing (1912-1954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decades--all before his suicide at age forty-one. This New York Times–bestselling biography of the founder of computer science, with a new preface by the author that addresses Turing's royal pardon in 2013, is the definitive account of an extraordinary mind and life.
Capturing both the inner and outer drama of Turing’s life, Andrew Hodges tells how Turing’s revolutionary idea of 1936--the concept of a universal machine--laid the foundation for the modern computer and how Turing brought the idea to practical realization in 1945 with his electronic design. The book also tells how this work was directly related to Turing’s leading role in breaking the German Enigma ciphers during World War II, a scientific triumph that was critical to Allied victory in the Atlantic. At the same time, this is the tragic account of a man who, despite his wartime service, was eventually arrested, stripped of his security clearance, and forced to undergo a humiliating treatment program--all for trying to live honestly in a society that defined homosexuality as a crime.
The inspiration for a major motion picture starring Benedict Cumberbatch and Keira Knightley, Alan Turing: The Enigma is a gripping story of mathematics, computers, cryptography, and homosexual persecution.
A New York Times Notable Book.
The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now it threatens the foundations of modern physics. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything.
In Zero, Science Journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. Here are the legendary thinkers—from Pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists—who have tried to understand it and whose clashes shook the foundations of philosophy, science, mathematics, and religion. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything.
Tales From the Tattoo Shop is for anyone with a twisted sense of humour—not just for lovers of tattoos and tattoo culture. More than just a collection of crazy yarns and wild anecdotes, this book also profiles the contributing artists and explores the paths they took to become successful. From the bizarre to the insane, these true stories will leave you shaken and stirred.
Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.
In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.
This gripping, deeply thoughtful book considers future of civilization in the light of what we know about climate change and related threats. David Orr, an award-winning, internationally recognized leader in the field of sustainability and environmental education, pulls no punches: even with the Paris Agreement of 2015, Earth systems will not reach a new equilibrium for centuries. Earth is becoming a different planet—more threadbare and less biologically diverse, with more acidic oceans and a hotter, more capricious climate. Furthermore, technology will not solve complex problems of sustainability.
Yet we are not fated to destroy the Earth, Orr insists. He imagines sustainability as a quest and a transition built upon robust and durable democratic and economic institutions, as well as changes in heart and mindset. The transition, he writes, is beginning from the bottom up in communities and neighborhoods. He lays out specific principles and priorities to guide us toward enduring harmony between human and natural systems.
The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples—from ice cream scoops and poker hands to measuring mountains and making magic squares—this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius!
A mathematician who is known throughout the world as the “mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math.
If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and—with a wave of his magic wand—turn you into a math lover.
The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.
Richard Feynman, winner of the Nobel Prize in physics, thrived on outrageous adventures. Here he recounts in his inimitable voice his experience trading ideas on atomic physics with Einstein and Bohr and ideas on gambling with Nick the Greek; cracking the uncrackable safes guarding the most deeply held nuclear secrets; accompanying a ballet on his bongo drums; painting a naked female toreador. In short, here is Feynman's life in all its eccentric—a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah.
Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us?
Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs.Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments.
Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."
With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.
With coverage spanning the foundations of origami construction and advanced methods using both paper and pencil and custom-built free software, Origami Design Secrets helps readers cultivate the intuition and skills necessary to develop their own designs. It takes them beyond merely following a recipe to crafting a work of art.
From the Trade Paperback edition.
Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations.
As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics.
Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself.
Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.
Focusing on screen storylines with a Pygmalion subtext, from silent cinema to Buffy the Vampire Slayer and Lars and the Real Girl, this book looks at why and how the made-over or manufactured woman has survived through the centuries and what we can learn about this problematic model of 'perfection' from the perspective of the past and the present. Given the myriad representations of Ovid's myth, can we really make a modern text a tool of interpretation for an ancient poem? This book answers with a resounding 'yes' and explains why it is so important to give antiquity back its future.
Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others.
"The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
Now Christopher Sandford reveals the man behind the myth ... Among the eye-opening stories is the surprising love-hate relationship with John Lennon, not to mention with Lennon's widow, as well as an insider's account of McCartney's controversial marriage to Heather Mills. Likeswise, Sir Paul's restless creativity - both mainstream and avant-garde - his second group and his marriage to the late Linda McCartney are seen here in fresh and stunning detail.
This behind the scenes story takes readers right up to today, as Sir Paul passes his 64th birthday. It's a hard, fast, sometimes shocking saga of sex, drugs and rock 'n' roll - the true adventure of the last showbiz superstar.
The year was 1915, and the young mathematician Emmy Noether had just settled into Göttingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity. Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy. Knowing of her expertise in invariance theory, they requested Noether’s help. To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries—one of the most important pieces of mathematical reasoning ever developed.
Noether’s "first" and "second" theorem was published in 1918. The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation. In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity. The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems. General relativity, it turns out, exhibits local gauge invariance. Noether’s theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions.
In Dwight E. Neuenschwander’s new edition of Emmy Noether’s Wonderful Theorem, readers will encounter an updated explanation of Noether’s "first" theorem. The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the "second" theorem, including Noether’s resolution of concerns about general relativity. Other refinements in the new edition include an enlarged biography of Emmy Noether’s life and work, parallels drawn between the present approach and Noether’s original 1918 paper, and a summary of the logic behind Noether’s theorem.-- Cliff Chancey, University of Northern Iowa
When Felicia Day was a girl, all she wanted was to connect with other kids (desperately). Growing up in the Deep South, where she was “home-schooled for hippie reasons,” she looked online to find her tribe. The Internet was in its infancy and she became an early adopter at every stage of its growth—finding joy and unlikely friendships in the emerging digital world. Her relative isolation meant that she could pursue passions like gaming, calculus, and 1930’s detective novels without shame. Because she had no idea how “uncool” she really was.
But if it hadn’t been for her strange background—the awkwardness continued when she started college at sixteen, with Mom driving her to campus every day—she might never have had the naïve confidence to forge her own path. Like when she graduated as valedictorian with a math degree and then headed to Hollywood to pursue a career in acting despite having zero contacts. Or when she tired of being typecast as the crazy cat-lady secretary and decided to create her own web series before people in show business understood that online video could be more than just cats chasing laser pointers.
Felicia’s rags-to-riches rise to Internet fame launched her career as one of the most influential creators in new media. Ever candid, she opens up about the rough patches along the way, recounting battles with writer’s block, a full-blown gaming addiction, severe anxiety, and depression—and how she reinvented herself when overachieving became overwhelming.
Showcasing Felicia’s “engaging and often hilarious voice” (USA TODAY), You’re Never Weird on the Internet (Almost) is proof that everyone should celebrate what makes them different and be brave enough to share it with the world, because anything is possible now—even for a digital misfit.
Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gödel and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science.
Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.
The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the "Book of Calculation," and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance.
Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers--the Fibonacci sequence--used by some to predict the rise and fall of financial markets, and evident in myriad biological structures.
One of the great math popularizers of our time, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.
Gene Kranz was present at the creation of America’s manned space program and was a key player in it for three decades. As a flight director in NASA’s Mission Control, Kranz witnessed firsthand the making of history. He participated in the space program from the early days of the Mercury program to the last Apollo mission, and beyond. He endured the disastrous first years when rockets blew up and the United States seemed to fall further behind the Soviet Union in the space race. He helped to launch Alan Shepard and John Glenn, then assumed the flight director’s role in the Gemini program, which he guided to fruition. With his teammates, he accepted the challenge to carry out President John F. Kennedy’s commitment to land a man on the Moon before the end of the 1960s.
Kranz recounts these thrilling historic events and offers new information about the famous flights. What appeared as nearly flawless missions to the Moon were, in fact, a series of hair-raising near misses. When the space technology failed, as it sometimes did, the controllers’ only recourse was to rely on their skills and those of their teammates. He reveals behind-the-scenes details to demonstrate the leadership, discipline, trust, and teamwork that made the space program a success.
A fascinating firsthand account by a veteran mission controller of one of America’s greatest achievements, Failure is Not an Option reflects on what has happened to the space program and offers his own bold suggestions about what we ought to be doing in space now.
From the New York Times–bestselling author of How We Got to Now and Farsighted, a look at the world-changing innovations we made while keeping ourselves entertained.
This lushly illustrated history of popular entertainment takes a long-zoom approach, contending that the pursuit of novelty and wonder is a powerful driver of world-shaping technological change. Steven Johnson argues that, throughout history, the cutting edge of innovation lies wherever people are working the hardest to keep themselves and others amused.
Johnson’s storytelling is just as delightful as the inventions he describes, full of surprising stops along the journey from simple concepts to complex modern systems. He introduces us to the colorful innovators of leisure: the explorers, proprietors, showmen, and artists who changed the trajectory of history with their luxurious wares, exotic meals, taverns, gambling tables, and magic shows.
In Wonderland, Johnson compellingly argues that observers of technological and social trends should be looking for clues in novel amusements. You’ll find the future wherever people are having the most fun.
From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.
Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.
Are the secrets of the universe written in words—or is it all about the digits? K.C. Cole follows up her paean to the power of physics, Sympathetic Vibrations, with this engaging and accessible guide to the might and majesty of mathematics. The Universe and the Teacup uses relatable examples, humorous prose, and whimsical line drawings to demonstrate math’s ability to “translate the complexity of the world into manageable patterns.”
Cole shows how mathematical concepts illuminate everything from human risk-taking behavior to astronomical investigation, game theory to logic problems—not to mention the very structure of the universe itself. Brimming with trivia stressing the importance of math throughout history, this is a book both math nerds and the “innumerate” everyday person can enjoy in equal measure.
“Cole writes clearly, simply and vividly,” noted The New York Times. “She so obviously likes mathematics, the reader can't help liking it too.” Filled with “a thousand fascinating facts and shrewd observations (Martin Gardner, Los Angeles Times), this book demonstrates how the truth and beauty of everything, from relativity to rainbows, is all in the numbers.
To establish a framework for discussion, this book begins by evaluating the role of Enterprise Architecture Planning and Service-Oriented Architecture (SOA) modeling. It provides an extensive review of the most widely deployed architecture framework models. In particular, the book discusses The Open Group Architecture Framework (TOGAF) and the Zachman Architectural Framework (ZAF) in detail, as well as formal architecture standards and all four layers of these models: the business architecture, the information architecture, the solution architecture, and the technology architecture.
The first part of the text focuses on the upper layers of the architecture framework, while the second part focuses on the technology architecture. In this second section, the author presents an assessment of storage technologies and networking and addresses regulatory and security issues. Additional coverage includes high-speed communication mechanisms such as Ethernet, WAN and Internet communication technologies, broadband communications, and chargeback models.
Daniel Minoli has written a number of columns and books on the high-tech industry and has many years of technical hands-on and managerial experience at top financial companies and telecom/networking providers. He brings a wealth of knowledge and practical experience to these pages. By reviewing the strategies in this book, CIOs, CTOs, and senior managers are empowered by a set of progressive approaches to designing state-of-the-art IT data centers.
How did his mind work? What made him a genius? Isaacson’s biography shows how his scientific imagination sprang from the rebellious nature of his personality. His fascinating story is a testament to the connection between creativity and freedom.
Based on newly released personal letters of Einstein, this book explores how an imaginative, impertinent patent clerk—a struggling father in a difficult marriage who couldn’t get a teaching job or a doctorate—became the mind reader of the creator of the cosmos, the locksmith of the mysteries of the atom, and the universe. His success came from questioning conventional wisdom and marveling at mysteries that struck others as mundane. This led him to embrace a morality and politics based on respect for free minds, free spirits, and free individuals.
These traits are just as vital for this new century of globalization, in which our success will depend on our creativity, as they were for the beginning of the last century, when Einstein helped usher in the modern age.