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| worlds longest mathematical equation: Diagrammatica Martinus Veltman, 1994-06-16 This author provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. His aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules. The book begins with a brief review of some aspects of Einstein's theory of relativity that are of particular importance for field theory, before going on to consider the relativistic quantum mechanics of free particles, interacting fields, and particles with spin. The techniques learnt in the chapters are then demonstrated in examples that might be encountered in real accelerator physics. Further chapters contain discussions of renormalization, massive and massless vector fields and unitarity. A final chapter presents concluding arguments concerning quantum electrodynamics. The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. An appendix containing a comprehensive summary of the rules and conventions used is followed by an appendix specifying the full Lagrangian of the Standard Model and the corresponding Feynman rules. To make the book useful for a wide audience a final appendix provides a discussion of the metric used, and an easy-to-use dictionary connecting equations written with different metrics. Written as a textbook, many diagrams, exercises and examples are included. This book will be used by beginning graduate students taking courses in particle physics or quantum field theory, as well as by researchers as a source and reference book on Feynman diagrams and rules. |
| worlds longest mathematical equation: In Pursuit of the Unknown Ian Stewart, 2012-03-13 The seventeen equations that form the basis for life as we know it. 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. |
| worlds longest mathematical equation: Five Equations That Changed the World Dr. Michael Guillen, 2012-06-05 A Publishers Weekly best book of 1995! 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. |
| worlds longest mathematical equation: The Ultimate Challenge Jeffrey C. Lagarias, 2023-04-19 The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000. |
| worlds longest mathematical equation: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1910 |
| worlds longest mathematical equation: Fermat's Last Theorem Simon Singh, 2022-05-26 Introducing the Collins Modern Classics, a series featuring some of the most significant books of recent times, books that shed light on the human experience - classics which will endure for generations to come. |
| worlds longest mathematical equation: Love and Math Edward Frenkel, 2013-10-01 An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics. |
| worlds longest mathematical equation: The Language of Mathematics Keith Devlin, 2000-03-13 Taking the reader on a wondrous journey through the invisible universe that surrounds us--a universe made visible by mathematics--Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, and allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers--all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. |
| worlds longest mathematical equation: The Mathematics of Love Hannah Fry, 2015-02-03 In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love. |
| worlds longest mathematical equation: The Standard Model Cliff Burgess, Guy Moore, 2007 This 2006 book uses the standard model as a vehicle for introducing quantum field theory. |
| worlds longest mathematical equation: The Doomsday Calculation William Poundstone, 2019-06-04 From the author of Are You Smart Enough to Work at Google?, a fascinating look at how an equation that foretells the future is transforming everything we know about life, business, and the universe. In the 18th century, the British minister and mathematician Thomas Bayes devised a theorem that allowed him to assign probabilities to events that had never happened before. It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes' formula has become a linchpin of the digital economy. But here's where things get really interesting: Bayes' theorem can also be used to lay odds on the existence of extraterrestrial intelligence; on whether we live in a Matrix-like counterfeit of reality; on the many worlds interpretation of quantum theory being correct; and on the biggest question of all: how long will humanity survive? The Doomsday Calculation tells how Silicon Valley's profitable formula became a controversial pivot of contemporary thought. Drawing on interviews with thought leaders around the globe, it's the story of a group of intellectual mavericks who are challenging what we thought we knew about our place in the universe. The Doomsday Calculation is compelling reading for anyone interested in our culture and its future. |
| worlds longest mathematical equation: The Great Mathematical Problems Ian Stewart, 2013-03-07 There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present. |
| worlds longest mathematical equation: The Structure and Interpretation of the Standard Model Gordon McCabe, 2011-08-30 This book provides a philosophically informed and mathematically rigorous introduction to the 'standard model' of particle physics. The standard model is the currently accepted and experimentally verified model of all the particles and interactions in our universe. All the elementary particles in our universe, and all the non-gravitational interactions -the strong nuclear force, the weak nuclear force, and the electromagnetic force - are collected together and, in the case of the weak and electromagnetic forces, unified in the standard model. Rather than presenting the calculational recipes favored in most treatments of the standard model, this text focuses upon the elegant mathematical structures and the foundational concepts of the standard model.· Combines an exposition of the philosophical foundations and rigorous mathematical structure of particle physics· Demonstrates the standard model with elegant mathematics, rather than a medley of computational recipes· Promotes a group-theoretical and fibre-bundle approach to the standard model, rather than the Lagrangian approach favoured by calculationalists· Explains the different approaches to particle physics and the standard model which can be found within the literature |
| worlds longest mathematical equation: Gauge Theory of Weak Interactions Walter Greiner, Berndt M?ller, 2009 Gauge Theory of Weak Interactions treats the unification of electromagnetic and weak interactions and considers related phenomena. First, the Fermi theory of beta decay is presented, followed by a discussion of parity violation, clarifying the importance of symmetries. Then the concept of a spontaneously broken gauge theory is introduced, and all necessary mathematical tools are carefully developed. The standard model of unified electroweak interactions is thoroughly discussed including current developments. The final chapter contains an introduction to unified theories of strong and electroweak interactions. Numerous solved examples and problems make this volume uniquely suited as a text for an advanced course. Thisfourth edition has been carefully revised. |
| worlds longest mathematical equation: Mathematics for Human Flourishing Francis Su, 2020-01-07 Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math ProjectA good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book.—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all. |
| worlds longest mathematical equation: The Equation that Couldn't Be Solved Mario Livio, 2005-09-19 What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history. |
| worlds longest mathematical equation: The Mechanical World , 1906 |
| worlds longest mathematical equation: The Simpsons and Their Mathematical Secrets Simon Singh, 2013-01-01 From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans |
| worlds longest mathematical equation: A Most Elegant Equation David Stipp, 2017-11-07 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. |
| worlds longest mathematical equation: Life, the Universe and Everything Douglas Adams, 2009-09-01 ‘One of the world's sanest, smartest, kindest, funniest voices’ – Independent on Sunday This 42nd Anniversary Edition includes exclusive bonus material from the Douglas Adams archives, and an introduction by Simon Brett, producer of the original radio broadcast. ***** In Life, the Universe and Everything, the third title in Douglas Adams' blockbusting sci-fi comedy series, The Hitchhiker's Guide to the Galaxy, Arthur Dent finds himself enlisted to prevent a galactic war. Following a number of stunning catastrophes, which have involved him being alternately blown up and insulted in ever stranger regions of the Galaxy, Arthur Dent is surprised to find himself living in a cave on prehistoric Earth. However, just as he thinks that things cannot get possibly worse, they suddenly do. An eddy in the space-time continuum lands him, Ford Prefect, and their flying sofa in the middle of the cricket ground at Lord's, just two days before the world is due to be destroyed by the Vogons. Escaping the end of the world for a second time, Arthur, Ford, and their old friend Slartibartfast embark (reluctantly) on a mission to save the whole galaxy from fanatical robots. Not bad for a man in his dressing gown . . . Follow Arthur Dent's galactic (mis)adventures in the rest of the trilogy with five parts: So Long, and Thanks for All the Fish, and Mostly Harmless. ***** Praise for Douglas Adams: 'Sheer delight' - The Times 'A pleasure to read' - New York Times 'Magical . . . read this book' - Sunday Express |
| worlds longest mathematical equation: Mechanical World , 1907 |
| worlds longest mathematical equation: Engineering World , 1906 |
| worlds longest mathematical equation: The Millennium Problems Keith J. Devlin, 2005 In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1million in prize money. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, cryptography, computing and even aircraft design. Keith Devlin describes here what the seven problems are, how they came about, and what they mean for mathematics and science. In the hands of Devlin, each Millennium Problem becomes a fascinating window onto the deepest questions in the field. |
| worlds longest mathematical equation: A Wrinkle in Time Madeleine L'Engle, 2010-04-01 NEWBERY MEDAL WINNER • TIME MAGAZINE’S 100 BEST FANTASY BOOKS OF ALL TIME • NOW A MAJOR MOTION PICTURE FROM DISNEY Read the ground-breaking science fiction and fantasy classic that has delighted children for over 60 years! A Wrinkle in Time is one of my favorite books of all time. I've read it so often, I know it by heart. —Meg Cabot Late one night, three otherworldly creatures appear and sweep Meg Murry, her brother Charles Wallace, and their friend Calvin O'Keefe away on a mission to save Mr. Murray, who has gone missing while doing top-secret work for the government. They travel via tesseract--a wrinkle that transports one across space and time--to the planet Camazotz, where Mr. Murray is being held captive. There they discover a dark force that threatens not only Mr. Murray but the safety of the whole universe. A Wrinkle in Time is the first book in Madeleine L’Engle’s Time Quintet. |
| worlds longest mathematical equation: Infinite Powers Steven Strogatz, 2019 This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides. |
| worlds longest mathematical equation: An Invitation to Algebraic Geometry Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves, 2013-03-09 This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra. |
| worlds longest mathematical equation: Illustrated World ... , 1917 |
| worlds longest mathematical equation: Man and His World/Terres des hommes The Noranda Lectures/ Expo 67, 1968-12-15 The fruits of a unique cultural exchange are brought together in this unusual book. Twenty-eight of the most eminent men and women of our generation – philosophers, historians, and scientists from nineteen countries – here discuss what they consider the most vital issues of our day. Paul-Henri Spaak, Barbara Ward, Gunnar Mydral, Linus Pauling, and many others participated in the Noranda lecture series at Expo 67 in Montreal, and each is concerned here with a special aspect of Expo's theme: Man and His World. The approaches to the theme are as varied as the backgrounds of the speakers. Some of the essays give a revealing and optimistic description of the national and international efforts to ensure a future for mankind; others, less optimistic, stress the increasing insanity of the world and draw attention to the poverty, starvation, hatred, waste, and war which destroy what creative men have built. One group of papers deals with the idea of progress. André Leroi Gourhan offers a panoramic description of man's cultural evolution and sketches the vast possibilities of future development; Karl Löwith questions the very notion of progress and observes that much progressive development has resulted in nothing but destruction; Félix Houphouët-Boigny, president of the Ivory Coast Republic, describes progress in one section of the world – Africa, and the Ivory Coast in particular. Other lectures deal with such diverse topics as the proper role of government, the modern scientist, formal and informal aspects of education, the history of architecture, recent biological contributions of chemistry, the population explosion, new advances in physics, and the world as a separate entity from man. The world as universe is not made by man, Professor Löwith reminds us. It is there, even without us, existing for and by itself. Originally sponsored by Noranda Mines Ltd., the lectures attracted wide attention at the time of their delivery and again later when some of them were broadcast on radio and television. Collected in this book, they offer a distillation of some of the most significant thinking of today – clear and cogent presentations of ideas that have won Nobel prizes for some of their creators and international recognition for all. In her Introduction, Helen Hogg writes, It is a book to be sipped and savoured, to be dipped into again and again. Such an approach will enable the reader best to appreciate the penetrating commentaries of some of the world's greatest figures. |
| worlds longest mathematical equation: The World of Mathematics James R. Newman, 1960 |
| worlds longest mathematical equation: Equations of Eternity David Darling, 2012-08 In a dazzling, lyrical mixture of science and philosophy, acclaimed science writer David Darling makes a provocative case for the workings of human consciousness, its origins, and its destiny when the next Big Bang precipitates a quantum leap in evolution. Equations of Eternity rethinks thought and the existence of intelligence in a way that will give readers a lot to think about. |
| worlds longest mathematical equation: You Failed Your Math Test, Comrade Einstein: Adventures And Misadventures Of Young Mathematicians Misha Shifman, 2005-04-27 This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations.The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as “killer problems,” to deny access to higher education to “undesirable” applicants. The focus of this part is the 1980 essay, “Intellectual Genocide”, written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet history, a rare example of the oppressed organizing to defend their dignity. This is the story of the so-called Jewish People's University, the inception of which is associated with Kanevsky, Senderov and Bella Subbotovskaya. |
| worlds longest mathematical equation: Euler's Pioneering Equation Robin Wilson, 2018-02-22 In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence. What is it that makes Euler's identity, eiπ + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; π an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula. |
| worlds longest mathematical equation: Division Word Problems , 2006 |
| worlds longest mathematical equation: When We Cease to Understand the World Benjamin Labatut, 2021-09-28 One of The New York Times Book Review’s 10 Best Books of 2021 Shortlisted for the 2021 International Booker Prize and the 2021 National Book Award for Translated Literature A fictional examination of the lives of real-life scientists and thinkers whose discoveries resulted in moral consequences beyond their imagining. When We Cease to Understand the World is a book about the complicated links between scientific and mathematical discovery, madness, and destruction. Fritz Haber, Alexander Grothendieck, Werner Heisenberg, Erwin Schrödinger—these are some of luminaries into whose troubled lives Benjamín Labatut thrusts the reader, showing us how they grappled with the most profound questions of existence. They have strokes of unparalleled genius, alienate friends and lovers, descend into isolation and insanity. Some of their discoveries reshape human life for the better; others pave the way to chaos and unimaginable suffering. The lines are never clear. At a breakneck pace and with a wealth of disturbing detail, Labatut uses the imaginative resources of fiction to tell the stories of the scientists and mathematicians who expanded our notions of the possible. |
| worlds longest mathematical equation: Humble Pi Matt Parker, 2021-01-19 #1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun. |
| worlds longest mathematical equation: Beautiful, Simple, Exact, Crazy Apoorva Khare, Anna Lachowska, 2015-08-25 In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience. |
| worlds longest mathematical equation: Our World , 1923 |
| worlds longest mathematical equation: The World's Cyclopedia of Science , 1883 |
| worlds longest mathematical equation: The World of Mathematics James Roy Newman, 2000-09-18 Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com). |
| worlds longest mathematical equation: The Butterfly in the Quantum World Indubala I Satija, 2016-09-06 Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the Hofstadter butterfly, a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul. |
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May 23, 2020 · I died way too many more times than I should have. The Eater of Worlds seemed to always beat me, so I figured I'd share the way I found that wrecks him. After your first …
Getting Started with Worlds.com : r/worldsonline - Reddit
Jul 2, 2021 · Worlds is old, and while you should be careful with old software, Worlds is safe if you obtain it from it's official source. Anti-virus software hates it because it's an older software that …
World order : r/Wizard101 - Reddit
Jul 3, 2023 · Only the two side worlds can be done as you please. Everything else is sequential, you’ll be forced through them in order throughout the main questline. As far as the side worlds: …
"A serious error has occurred while loading [world]" error ... - Reddit
Oct 5, 2022 · Posted by u/mad_mads_ - 2 votes and 15 comments
a list of every war of the worlds game : r/WarofTheWorlds - Reddit
Mar 28, 2023 · War Of The Worlds Jeff Wayne survival (roblox) -Playable War of the worlds 2005 survival (roblox) -Hasnt had much updates, but playable. The Great Martian War Flandeeren …
Worlds.com Subreddit
Worlds is an online 3D chat service by Worlds Inc that has been in operation since 1995. It is still online and with a community to this day. This subreddit is ran by users, we are not the …
Worlds FRVR - Explore, Build & Share - Reddit
type of worlds frvr players part 1 if you want to see the part 2 click on this link https://www.youtube ...
Custom worlds recommendation : r/Sims3 - Reddit
Jun 2, 2021 · Custom worlds recommendation Been going to each Sims game like a whore and was getting ready to go back to 3. Never really paid attention to custom worlds since the time I …
Sharing my list of Favorite Worlds : r/VRchat - Reddit
Dec 25, 2022 · A while back I made a list of my favorite worlds and I feel with the holidays that its time to update and share my list of worlds. These are just my personal favorites now so feel …
Best Forestry spots : r/2007scape - Reddit
Jun 29, 2023 · The community for Old School RuneScape discussion on Reddit. Join us for game discussions, tips and tricks, and all things OSRS!
My strategy for Master Mode Eater of Worlds : r/Terraria - Reddit
May 23, 2020 · I died way too many more times than I should have. The Eater of Worlds seemed to always beat me, so I figured I'd share the way I found that wrecks him. After your first …
