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| our mathematical world: Our Mathematical Universe Max Tegmark, 2015-02-03 Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians. |
| our mathematical world: Kant's Mathematical World Daniel Sutherland, 2021-10-28 An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience. |
| our mathematical world: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description. |
| our mathematical world: Mathematical principles of natural philosophy Isaac Newton, 1980 |
| our mathematical world: The Mathematical World of Walter Noll Yurie A. Ignatieff, 2013-03-09 The book stresses particularly Noll's method of axiomatization of physical theories, his axiomatics of continuum mechanics, thermodynamics of materials, special relativity theory, his discovery of the neo-classical space-time of mechanics, his theories of inhomogeneities in simple bodies, fit regions, contact interactions, annihilators of linear differential operators, and finite-dimensional spaces. |
| our mathematical world: Mathematics and the Physical World Morris Kline, 2012-03-15 Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena. |
| our mathematical world: Reasoning with the Infinite Michel Blay, 1998 Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion.—Margaret Wertheim, New Scientist |
| our mathematical world: Mathematics for Human Flourishing Francis Su, 2020-01-07 The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them.--Kevin Hartnett, Quanta Magazine 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 Project 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. |
| our mathematical world: Humble Pi Matt Parker, 2020-01-21 #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. |
| our mathematical world: Mathematical Commentaries in the Ancient World Karine Chemla, Glenn W. Most, 2022-06-09 Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece. |
| our mathematical world: The Math of Life and Death Kit Yates, 2021-04-27 We are all doing math all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few of us really appreciate the full power of math - the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this eye-opening and extraordinary book, Kit Yates explores the true stories of life-changing events in which the application - or misapplication - of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice and the unwitting victims of software glitches. We follow stories of investors who have lost fortunes and parents who have lost children, all because of mathematical misunderstandings. Along the way, Yates arms us with simple mathematical rules and tools that can help us make better decisions in our increasingly quantitative society-- |
| our mathematical world: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. |
| our mathematical world: Read Any Good Math Lately? David Jackman Whitin, Sandra Wilde, 1992 Demonstrates the potential for literature in learnersin a variety of mathematical investigations. |
| our mathematical world: Intl Stdt Ed-a Mathematical View of Our World Harold R. Parks, 2007 |
| our mathematical world: Mind Tools Rudy Rucker, 2013-11-12 From mathematics and computers to insights into the workings of the human mind, this popular mathematics book reflects the intelligence gathered from the frontiers of mathematical thought. Illuminated by more than 100 drawings. 1987 edition. |
| our mathematical world: The Singular Universe and the Reality of Time Roberto Mangabeira Unger, Lee Smolin, 2014-12-08 Cosmology is in crisis. The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges. |
| our mathematical world: The Knot Book Colin Conrad Adams, 2004 Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics. |
| our mathematical world: Climate Change Jason Smerdon, 2009-04-25 Climate Change is geared toward a variety of students and general readers who seek the real science behind global warming. Exquisitely illustrated, the text introduces the basic science underlying both the natural progress of climate change and the effect of human activity on the deteriorating health of our planet. Noted expert and author Edmond A. Mathez synthesizes the work of leading scholars in climatology and related fields, and he concludes with an extensive chapter on energy production, anchoring this volume in economic and technological realities and suggesting ways to reduce greenhouse-gas emissions. Climate Change opens with the climate system fundamentals: the workings of the atmosphere and ocean, their chemical interactions via the carbon cycle, and the scientific framework for understanding climate change. Mathez then brings the climate of the past to bear on our present predicament, highlighting the importance of paleoclimatology in understanding the current climate system. Subsequent chapters explore the changes already occurring around us and their implications for the future. In a special feature, Jason E. Smerdon, associate research scientist at Lamont-Doherty Earth Observatory of Columbia University, provides an innovative appendix for students. |
| our mathematical world: Purgatorio Dante Alighieri, 1980 |
| our mathematical world: Math in Nature Nancy Dickmann, 2018-08-01 Learn about number patterns that exist in a sunflower, the reason behind the hexagonal shape of a honeycomb, and all about the Fibonacci sequence. High impact photographs will draw in young readers as they learn about mathematical concepts they can find outside their front door. |
| our mathematical world: Weapons of Math Destruction Cathy O'Neil, 2016-09-06 NEW YORK TIMES BESTSELLER • A former Wall Street quant sounds the alarm on Big Data and the mathematical models that threaten to rip apart our social fabric—with a new afterword “A manual for the twenty-first-century citizen . . . relevant and urgent.”—Financial Times NATIONAL BOOK AWARD LONGLIST • NAMED ONE OF THE BEST BOOKS OF THE YEAR BY The New York Times Book Review • The Boston Globe • Wired • Fortune • Kirkus Reviews • The Guardian • Nature • On Point We live in the age of the algorithm. Increasingly, the decisions that affect our lives—where we go to school, whether we can get a job or a loan, how much we pay for health insurance—are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules. But as mathematician and data scientist Cathy O’Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they’re wrong. Most troubling, they reinforce discrimination—propping up the lucky, punishing the downtrodden, and undermining our democracy in the process. Welcome to the dark side of Big Data. |
| our mathematical world: It’s a Numberful World Eddie Woo, 2019-09-03 2021 Mathical Honor Book Why aren’t left-handers extinct? What makes a rainbow round? How is a pancreas . . . like a pendulum? Publisher's note: It's a Numberful World was published in Australia under the title Woo's Wonderful World of Maths. These may not look like math questions, but they are—because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo’s life—by turning the “dry” subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the “branches” of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive—from the sine waves we hear as “music” to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians—and It’s a Numberful World. |
| our mathematical world: Mathematics and Music David Wright, 2009 Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright's book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a high-school level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text. |
| our mathematical world: Where's the Math? Mary Hynes-Berry, Laura Grandau, 2019-09-10 Use the powerful strategies of play and storytelling to help young children develop their math brains. This easy-to-use resource includes fun activities, routines, and games inspired by children's books that challenge children to recognize and think more logically about the math all around them. |
| our mathematical world: Advanced Problems in Mathematics: Preparing for University Stephen Siklos, 2016-01-25 This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics. |
| our mathematical world: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
| our mathematical world: Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 Jennifer M. Bay-Williams, John J. SanGiovanni, 2021-03-02 Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: Seven Significant Strategies to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers. |
| our mathematical world: The Mathematics of Voting and Elections Jonathan K. Hodge, Richard E. Klima, 2005 The Mathematics of Voting and Elections: A Hands-on Approach will help you discover answers to these and many other questions. Easily accessible to anyone interested in the subject, the book requires virtually no prior mathematical experience beyond basic arithmetic, and includes numerous examples and discussions regarding actual elections from politics and popular culture. |
| our mathematical world: Foolproof, and Other Mathematical Meditations Brian Hayes, 2018-10-30 A non-mathematician explores mathematical terrain, reporting accessibly and engagingly on topics from Sudoku to probability. Brian Hayes wants to convince us that mathematics is too important and too much fun to be left to the mathematicians. Foolproof, and Other Mathematical Meditations is his entertaining and accessible exploration of mathematical terrain both far-flung and nearby, bringing readers tidings of mathematical topics from Markov chains to Sudoku. Hayes, a non-mathematician, argues that mathematics is not only an essential tool for understanding the world but also a world unto itself, filled with objects and patterns that transcend earthly reality. In a series of essays, Hayes sets off to explore this exotic terrain, and takes the reader with him. Math has a bad reputation: dull, difficult, detached from daily life. As a talking Barbie doll opined, “Math class is tough.” But Hayes makes math seem fun. Whether he's tracing the genealogy of a well-worn anecdote about a famous mathematical prodigy, or speculating about what would happen to a lost ball in the nth dimension, or explaining that there are such things as quasirandom numbers, Hayes wants readers to share his enthusiasm. That's why he imagines a cinematic treatment of the discovery of the Riemann zeta function (“The year: 1972. The scene: Afternoon tea in Fuld Hall at the Institute for Advanced Study in Princeton, New Jersey”), explains that there is math in Sudoku after all, and describes better-than-average averages. Even when some of these essays involve a hike up the learning curve, the view from the top is worth it. |
| our mathematical world: When We Cease to Understand the World Benjamín Labatut, 2020-09-03 SELECTED FOR BARACK OBAMA'S SUMMER READING LIST 'A monstrous and brilliant book' Philip Pullman'Wholly mesmerising and revelatory... Completely fascinating' William Boyd Sometimes discovery brings destruction When We Cease to Understand the World shows us great minds striking out into dangerous, uncharted terrain. Fritz Haber, Alexander Grothendieck, Werner Heisenberg, Erwin Schrödinger: these are among the luminaries into whose troubled lives we are thrust as they grapple with the most profound questions of existence. They have strokes of unparalleled genius, they alienate friends and lovers, they descend into isolated states of madness. Some of their discoveries revolutionise our world for the better; others pave the way to chaos and unimaginable suffering. The lines are never clear. With breakneck pace and wondrous detail, Benjamín Labatut uses the imaginative resources of fiction to break open the stories of scientists and mathematicians who expanded our notions of the possible. |
| our mathematical world: Addition Joseph Midthun, Samuel Hiti, 2013 A graphic nonfiction volume that introduces critical basic addition concepts-- |
| our mathematical world: The Mathematical Universe Joel L. Schiff, 2020-11-18 I first had a quick look, then I started reading it. I couldn't stop. -Gerard 't Hooft (Nobel Prize, in Physics 1999) This is a book about the mathematical nature of our Universe. Armed with no more than basic high school mathematics, Dr. Joel L. Schiff takes you on a foray through some of the most intriguing aspects of the world around us. Along the way, you will visit the bizarre world of subatomic particles, honey bees and ants, galaxies, black holes, infinity, and more. Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more. These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe. |
| our mathematical world: A Primer of Real Analytic Functions KRANTZ, PARKS, 2013-03-09 The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly. |
| our mathematical world: Mathematical Understanding of Nature Vladimir Igorevich Arnolʹd, 2014-09-04 This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.-- |
| our mathematical world: For All Practical Purposes , 2009 By the Consortium for Mathematics and Its Applications. |
| our mathematical world: The Mathematical Traveler Calvin C. Clawson, 2013-11-11 As he persuasively argues, the mathematical concepts that arose and flourished in the ancient world enabled the creation of architectural masterpieces as well as the establishment of vast trade networks. |
| our mathematical world: The Beauty of Numbers in Nature Ian Stewart, 2017-03-29 Think of a zebra's stripes, the complexities of a spider's web, the uniformity of desert dunes, or the spirals in a sunflower head ... think of a snowflake. The Beauty of Numbers in Nature shows how life on Earth forms the principles of mathematics. Starting with the simplest patterns, each chapter looks at a different kind of patterning system and the mathematics that underlies it. In doing so the book also uncovers some universal patterns, both in nature and man-made, from the basic geometry of ancient Greece to the visually startling fractals that we are familiar with today. Elegantly illustrated, The Beauty of Numbers in Nature is an illuminating and engaging vision of how the apparently cold laws of mathematics find expression in the beauty of nature. |
| our mathematical world: Proving Einstein Right S. James Gates Jr., 2019 The true story of the epic journey to scientifically prove the Theory of Relativity, which would catapult Albert Einstein to fame and forever change our understanding of how the universe came into being. In 1916, a nearly unknown German-born theoretical physicist named Albert Einstein had developed his theory of relativity, but hadn't yet been able to prove it. The only way to do that was through the clear view and measurement of a solar eclipse. In May of 1919, one of the longest total solar eclipses of the 20th century was visible for almost seven minutes in the Southern Hemisphere. And so, two teams of intrepid astronomers set out on a treacherous journey-one to a remote town in Brazil, the other to the small African island of Principe. Their task was to answer the question: during the eclipse, would the stars' light waves follow Newton's law of gravitation, or Einstein's new theory of relativity' Proving Einstein Right is an epic chronicle of this decade-long mission. Hindered by everything from cloudy weather to world war, and traveling halfway around the globe, four men observed a solar eclipse that would catapult Albert Einstein to fame, set the framework for the Big Bang theory, and forever change the way we look at the universe. |
| our mathematical world: Our Mathematical Universe Max Tegmark, 2014 Nature, said Galileo, is 'a book written in the language of mathematics'. But why should this be? How can mathematics be at the heart of our universe?The great Hungarian physicist and Nobel laureate Eugene Wigner stressed that this 'unreasonable effectiveness' of mathematics at describing the world was a mystery demanding explanation. Here, Max Tegmark, one of the most original cosmologists at work today, takes us on an astonishing journey to solve that mystery.Part-history of the cosmos, part-intellectual adventure, Our Mathematical Universe travels from the Big Bang to the distant future via parallel worlds, across every possible scale - from the sub-atomic to the intergalactic - showing how mathematics provides the answers to our questions about the world. Where do we come from? What makes the universe the way it is? In essence, why are we here? With dazzling clarity, Max Tegmark ponders these deep mysteries and allows us to grasp the most cutting-edge and mind-boggling theories of physics. What he proposes is an elegant and fascinating idea: that our physical world not only is described by mathematics, but that it is mathematics. Astoundingly, we may live in a mathematical universe.Max Tegmark is author or co-author of more than 200 technical papers, twelve of which have been cited more than 500 times. He has featured in dozens of science documentaries, and his work with the SDSS collaboration on galaxy clustering shared the first prize in Science magazine's Breakthrough of the Year: 2003. He holds a Ph.D from the University of California, Berkeley, and is a physics professor at MIT. |
| our mathematical world: Instant Mathematics Paul Parsons, Gail Dixon, 2020-06-09 Key thinkers, theories, discoveries, and concepts each explained on a single page! Instant Mathematics pulls together all the pivotal mathematical theories and discoveries into one concise volume. Each page contains a distinct “cheat sheet,” which tells you the most important facts in bite-size chunks, so you can feel like an expert in minutes! From zero to the Riemann Hypothesis, from primes to irrational numbers, and from Pythagoras to John Nash and Roger Penrose—every key figure, theory, or term is expressed in succinct and lively text and graphics. Perfect for the knowledge-hungry and time-poor, this collection of graphics-led lessons makes math interesting and accessible. Everything you need to know—and more!—packed into one convenient volume. |
OUR Definition & Meaning - Merriam-Webster
The meaning of OUR is of or relating to us or ourselves or ourself especially as possessors or possessor, agents or agent, or objects or object of an …
OUR | English meaning - Cambridge Dictionary
We use pronouns to refer to possession and ‘belonging’. There are two types: possessive pronouns and …
OUR definition and meaning | Collins English Dictionary
You use our to indicate that something belongs or relates both to yourself and to one or more other people.
Our vs. Are: Meanings, Differences, and Proper Use
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Are vs. Our: What’s the Difference? - Writing Explained
Are is a verb, while our is a possessive pronoun. They cannot be substituted for each other, and to do so would be a mistake. A re is an important a …
OUR Definition & Meaning - Merriam-Webster
The meaning of OUR is of or relating to us or ourselves or ourself especially as possessors or possessor, agents or agent, or objects or …
OUR | English meaning - Cambridge Dictionary
We use pronouns to refer to possession and ‘belonging’. There are two types: possessive pronouns and possessive determiners. We …
OUR definition and meaning | Collins English Dictionary
You use our to indicate that something belongs or relates both to yourself and to one or more other people.
Our vs. Are: Meanings, Differences, and Proper Use - YourDictionary
Jun 3, 2021 · While “our” and “are” sound very similar, these two words have completely different meanings. Knowing when to use …
Are vs. Our: What’s the Difference? - Writing Explained
Are is a verb, while our is a possessive pronoun. They cannot be substituted for each other, and to do so would be a mistake. A re …
