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| strogatz infinite powers: 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. |
| strogatz infinite powers: The Joy of X Steven Henry Strogatz, 2012 A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the New York Times. |
| strogatz infinite powers: Summary & Analysis of Infinite Powers ZIP Reads, PLEASE NOTE: This is a summary and analysis of the book and not the original book. ZIP Reads is wholly responsible for this content and is not associated with the original author in any way. If you are the author, publisher, or representative of the original work, please contact info@zipreads.co with any questions or concerns. If you'd like to purchase the original book, please paste this link in your browser: https://amzn.to/2WGORWi Author and mathematician Steven Strogatz shares a deep secret he has discovered - that calculus is the primary operating code of the universe! He shows you how every expression of nature that you see can be broken down into a set of differential equations. Once you understand how calculus runs the cosmos, the universe will open up to you in unimaginable ways! What does this ZIP Reads Summary Include? - Synopsis of the original book - Key takeaways from each chapter - Easily understood explanations for complicated mathematical principles - History of calculus and many modern applications - Editorial Review - Background on Steven Strogatz About the Original Book: In Infinite Powers, Strogatz attempts to show us the link between the universe and calculus. Everything human civilization has created has been based on some form of calculus, including cellphones, radios, HIV drugs, and human genome technology. Strogatz makes a compelling argument that without integral and differential equations, there would be no modern civilization. Infinite Powers is a classic description of the history, development, and future of calculus, as well as the phenomenal mathematicians who mastered it. DISCLAIMER: This book is intended as a companion to, not a replacement for, Infinite Powers. ZIP Reads is wholly responsible for this content and is not associated with the original author in any way. Please follow this link: https://amzn.to/2WGORWi to purchase a copy of the original book. |
| strogatz infinite powers: Putting the Science in Fiction Dan Koboldt, 2018-10-16 Science and technology have starring roles in a wide range of genres--science fiction, fantasy, thriller, mystery, and more. Unfortunately, many depictions of technical subjects in literature, film, and television are pure fiction. A basic understanding of biology, physics, engineering, and medicine will help you create more realistic stories that satisfy discerning readers. This book brings together scientists, physicians, engineers, and other experts to help you: • Understand the basic principles of science, technology, and medicine that are frequently featured in fiction. • Avoid common pitfalls and misconceptions to ensure technical accuracy. • Write realistic and compelling scientific elements that will captivate readers. • Brainstorm and develop new science- and technology-based story ideas. Whether writing about mutant monsters, rogue viruses, giant spaceships, or even murders and espionage, Putting the Science in Fiction will have something to help every writer craft better fiction. Putting the Science in Fiction collects articles from Science in Sci-fi, Fact in Fantasy, Dan Koboldt's popular blog series for authors and fans of speculative fiction (dankoboldt.com/science-in-scifi). Each article discusses an element of sci-fi or fantasy with an expert in that field. Scientists, engineers, medical professionals, and others share their insights in order to debunk the myths, correct the misconceptions, and offer advice on getting the details right. |
| strogatz infinite powers: The Calculus of Friendship Steven Strogatz, 2011-03-07 The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters. For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey. |
| strogatz infinite powers: Change is the Only Constant Ben Orlin, 2019 An exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. |
| strogatz infinite powers: The Calculus Story David Acheson, 2017 [Acheson] introduces the fundamental ideas of calculus through the story of how the subject developed, from approximating π to imaginary numbers, and from Newton's falling apple to the vibrations of an electric guitar.--Back cover |
| strogatz infinite powers: Nonlinear Dynamics and Chaos Steven H. Strogatz, 2018-05-04 This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. |
| strogatz infinite powers: Six Impossible Things John Gribbin, 2019-10-08 “An elegant and accessible” investigation of quantum mechanics—“highly recommended” for students of the sciences, sci-fi fans, and anyone interested in the strange world of quantum physics (Forbes) Rules of the quantum world seem to say that a cat can be both alive and dead at the same time and a particle can be in two places at once. And that particle is also a wave; everything in the quantum world can described in terms of waves—or entirely in terms of particles. These interpretations were all established by the end of the 1920s, by Erwin Schrödinger, Werner Heisenberg, Paul Dirac, and others. But no one has yet come up with a commonsense explanation of what is going on. In this concise and engaging book, astrophysicist John Gribbin offers an overview of six of the leading interpretations of quantum mechanics. Gribbin calls his account “agnostic,” explaining that none of these interpretations is any better—or any worse—than any of the others. Gribbin presents: • The Copenhagen Interpretation, promoted by Niels Bohr and named by Heisenberg • The Pilot-Wave Interpretation, developed by Louis de Broglie • The Many Worlds Interpretation • The Decoherence Interpretation • The Ensemble “Non-Interpretation” • The Timeless Transactional Interpretation, which theorized waves going both forward and backward in time All of these interpretations are crazy, Gribbin warns, and some are more crazy than others—but in the quantum world, being more crazy does not necessarily mean more wrong. |
| strogatz infinite powers: The Weil Conjectures Karen Olsson, 2019-07-16 A New York Times Editors' Pick and Paris Review Staff Pick A wonderful book. --Patti Smith I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge. --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding. |
| strogatz infinite powers: Beyond Infinity Eugenia Cheng, 2017-03-09 SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small. |
| strogatz infinite powers: The Art of the Infinite Robert Kaplan, Ellen Kaplan, 2014-07-01 A witty, conversational, and accessible tour of math's profoundest mysteries. Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories. Taking the concept of infinity, in its countless guises, as a starting point and a helpful touchstone, the founders of Harvard's pioneering Math Circle program Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers, explore realms where only the imagination can go, and grapple with math's most profound uncertainties, including the question of truth itself-do we discover mathematical principles, or invent them? |
| strogatz infinite powers: Zero Charles Seife, 2019-11-28 A NEW YORK TIMES NOTABLE BOOK The Babylonians invented it, the Greeks banned it, the Hindus worshipped it, and the Christian Church used it to fend off heretics. Today it's a timebomb ticking in the heart of astrophysics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. 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. Within the concept of zero lies a philosophical and scientific history of humanity. Charles Seife's elegant and witty account takes us from Aristotle to superstring theory by way of Egyptian geometry, Kabbalism, Einstein, the Chandrasekhar limit and Stephen Hawking. Covering centuries of thought, it is a concise tour of a world of ideas, bound up in the simple notion of nothing. |
| strogatz infinite powers: Euclid's Window Leonard Mlodinow, 2010-09-28 Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same. |
| strogatz infinite powers: Decoding the World Po Bronson, Arvind Gupta, 2020-10-06 Find out where our world is headed with this dazzling first-hand account of inventing the future from the #1 New York Times bestselling author of What Should I Do With My Life? and the founder of science accelerator IndieBio. Decoding the World is a buddy adventure about the quest to live meaningfully in a world with such uncertainty. It starts with Po Bronson coming to IndieBio. Arvind Gupta created IndieBio as a laboratory for early biotech startups trying to solve major world problems. Glaciers melting. Dying bees. Infertility. Cancer. Ocean plastic. Pandemics. Arvind is the fearless one, a radical experimentalist. Po is the studious detective, patiently synthesizing clues others have missed. Their styles mix and create a quadratic speedup of creativity. Yin and Yang crystallized. As they travel around the world, finding scientists to join their cause, the authors bring their firsthand experience to the great mysteries that haunt our future. Natural resource depletion. Job-taking robots. China's global influence. Arvind feels he needs to leave IndieBio to help startups do more than just get started. But as his departure draws near, he struggles to leave the sanctum he created. While Po has to prove he can keep the indie in IndieBio after Arvind is gone. After looking through their lens, you'll never see the world the same. |
| strogatz infinite powers: 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. |
| strogatz infinite powers: Calculus Reordered David M. Bressoud, 2019-07-16 How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean—particularly in Syracuse, Sicily and Alexandria, Egypt—as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus’s evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order—integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities—makes more sense in the classroom environment. Exploring the motivations behind calculus’s discovery, Calculus Reordered highlights how this essential tool of mathematics came to be. |
| strogatz infinite powers: 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. |
| strogatz infinite powers: How Not to Be Wrong Jordan Ellenberg, 2015-05-26 “Witty, compelling, and just plain fun to read . . . —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands 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. |
| strogatz infinite powers: Applied Linear Algebra Lorenzo Sadun, 2022-06-07 Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle. Traditionally, difference equations, Markov chains, coupled oscillators, Fourier series, the wave equation, the Schrödinger equation, and Fourier transforms are treated separately, often in different courses. Here, they are treated as particular instances of the decoupling principle, and their solutions are remarkably similar. By understanding this general principle and the many applications given in the book, students will be able to recognize it and to apply it in many other settings. Sadun includes some topics relating to infinite-dimensional spaces. He does not present a general theory, but enough so as to apply the decoupling principle to the wave equation, leading to Fourier series and the Fourier transform. The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical, for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third of the exercises. |
| strogatz infinite powers: The Math Book Clifford A. Pickover, 2009 This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient ant odometers and moving through time to our modern-day quest for new dimensions. |
| strogatz infinite powers: 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. |
| strogatz infinite powers: The Princeton Companion to Mathematics Timothy Gowers, June Barrow-Green, Imre Leader, 2010-07-18 The ultimate mathematics reference book This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries—written especially for this book by some of the world's leading mathematicians—that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music—and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties. Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors Presents major ideas and branches of pure mathematics in a clear, accessible style Defines and explains important mathematical concepts, methods, theorems, and open problems Introduces the language of mathematics and the goals of mathematical research Covers number theory, algebra, analysis, geometry, logic, probability, and more Traces the history and development of modern mathematics Profiles more than ninety-five mathematicians who influenced those working today Explores the influence of mathematics on other disciplines Includes bibliographies, cross-references, and a comprehensive index Contributors include: Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, and Doron Zeilberger |
| strogatz infinite powers: Essential Calculus Skills Practice Workbook with Full Solutions Chris McMullen, 2018-08-16 The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills, including: derivatives of polynomials, trig functions, exponentials, and logarithms the chain rule, product rule, and quotient rule second derivatives how to find the extreme values of a function limits, including l'Hopital's rule antiderivatives of polynomials, trig functions, exponentials, and logarithms definite and indefinite integrals techniques of integration, including substitution, trig sub, and integration by parts multiple integrals The goal of this workbook isn't to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering |
| strogatz infinite powers: How Numbers Work New Scientist, 2018-03-21 Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the imaginary number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIES New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context. |
| strogatz infinite powers: Is God a Mathematician? Mario Livio, 2010-01-19 Explores the plausibility of mathematical answers to puzzles in the physical world, in an accessible exploration of the lives and thoughts of such figures as Archimedes, Galileo, and Newton. |
| strogatz infinite powers: The Prime Number Conspiracy Thomas Lin, 2018-11-20 The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine |
| strogatz infinite powers: Fundamentals Frank Wilczek, 2022-01-11 “Fundamentals might be the perfect book for the winter of this plague year. . . . Wilczek writes with breathtaking economy and clarity, and his pleasure in his subject is palpable.” —The New York Times Book Review One of our great contemporary scientists reveals the ten profound insights that illuminate what everyone should know about the physical world In Fundamentals, Nobel laureate Frank Wilczek offers the reader a simple yet profound exploration of reality based on the deep revelations of modern science. With clarity and an infectious sense of joy, he guides us through the essential concepts that form our understanding of what the world is and how it works. Through these pages, we come to see our reality in a new way--bigger, fuller, and stranger than it looked before. Synthesizing basic questions, facts, and dazzling speculations, Wilczek investigates the ideas that form our understanding of the universe: time, space, matter, energy, complexity, and complementarity. He excavates the history of fundamental science, exploring what we know and how we know it, while journeying to the horizons of the scientific world to give us a glimpse of what we may soon discover. Brilliant, lucid, and accessible, this celebration of human ingenuity and imagination will expand your world and your mind. |
| strogatz infinite powers: Mathematics For The Million Lancelot Thomas Hogben, 1957 |
| strogatz infinite powers: The Greywacke Nick Davidson, 2021-05-13 SHORTLISTED FOR THE ROYAL SOCIETY SCIENCE PRIZE 2022 'A joyful collision of science, history and nature writing' Helen Gordon, author of Notes from Deep Time Adam Sedgwick was a priest and scholar. Roderick Murchison was a retired soldier. Charles Lapworth was a schoolteacher. It was their personal and intellectual rivalry, pursued on treks through Wales, Scotland, Cornwall, Devon and parts of western Russia, that revealed the narrative structure of the Paleozoic Era, the 300-million-year period during which life on Earth became recognisably itself. Nick Davidson follows in their footsteps and draws on maps, diaries, letters, field notes and contemporary accounts to bring the ideas and characters alive. But this is more than a history of geology. As we travel through some of the most spectacular scenery in Britain, it's a celebration of the sheer visceral pleasure generations of geologists have found, and continue to find, in noticing the earth beneath our feet. |
| strogatz infinite powers: Mindset Mathematics Jo Boaler, Jen Munson, Cathy Williams, 2017-08-02 Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum. |
| strogatz infinite powers: Alex's Adventures in Numberland Alex Bellos, 2011-04-04 The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck. |
| strogatz infinite powers: Albert Einstein: Creator and Rebel Banesh Hoffmann, 2019-08-10 “Hoffmann does more than convey the emotional impact of Einstein’s science on Einstein. He tries to make the general reader see the problems that concerned Einstein and understand the kinds of theories he constructed to solve them... This calls for scientific popularization of a high order... Hoffmann [...] does it very effectively.” — Martin Klein and Robert Merton, The New York Times “... succeeds in catching some of Einstein’s wholeness, the genius and the human being, the scientist and the responsible citizen.” — Peter Bergmann, Physics Today “What a rewarding and civilizing book for anyone interested in physics, its history, and the look and smell of the whole era during which relativity and quantum physics established themselves! ... this is one of the few [biographies of Einstein] that gives an authentic view from close up” — Gerald Holton, The Physics Teacher “This book deserves to become a best-seller... I know of no other book on Einstein that gives so complete and well balanced a picture of that great man.” — Otto Robert Frisch “... it is the very product of [Einstein’s] brain that most clearly delineates the man, and to get that across, there is none better than Dr. Hoffmann, who can write so charmingly that even General Relativity sounds like a fun thing in its very profound simplicity...” — Isaac Asimov “Here is an excellent biography of Albert Einstein by a theoretical physicist with broad interests and a deep human understanding... Hoffmann builds a remarkably interesting and human picture of an extremely gifted man...” — Louis Green, Sky and Telescope |
| strogatz infinite powers: 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. |
| strogatz infinite powers: Infinite Powers Steven H. Strogatz, 2020-02 A magisterial history of calculus (and the people behind it) from one of the world's foremost mathematicians. |
| strogatz infinite powers: The Healing Journey Claudio Naranjo, 1973 |
| strogatz infinite powers: Learning Mathematics Robert Benjamin Davis, 1984 This book, based upon a seven-year study at the University of Illinois aims to evaluate the merits of teaching methods from classical techniques of memorisation to creative methodologies that build upon context and focus on understanding. |
| strogatz infinite powers: Summary of Steven Strogatz's Infinite Powers Milkyway Media, 2024-02-14 Get the Summary of Steven Strogatz's Infinite Powers in 20 minutes. Please note: This is a summary & not the original book. Infinite Powers delves into the historical evolution of mathematics, tracing its origins from ancient civilizations' practical needs to the sophisticated realms of calculus and infinity. The book highlights how ancient counting systems and geometry laid the groundwork for later mathematical breakthroughs, including the development of calculus in ancient Greece. This innovation allowed for the understanding and solving of problems involving curves and circles by conceptualizing infinity, transforming complex shapes into more comprehensible forms... |
| strogatz infinite powers: The Art of Statistics David Spiegelhalter, 2019-09-03 In this important and comprehensive guide to statistical thinking (New Yorker), discover how data literacy is changing the world and gives you a better understanding of life’s biggest problems. Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs. |
ICE agents, protesters clash during raid at Ventura County farm
18 hours ago · Ventura County farm raid draws protests Several protesters confronted federal agents during an immigration raid a Camarillo farm Thursday afternoon.
Federal agents clash with protesters after immigration raid ...
18 hours ago · CAMARILLO, Calif. (KABC) -- Federal agents conducted an immigration enforcement operation at a cannabis farm in Ventura County on Thursday that led to a clash …
Camarillo farm raids: ICE agents clash with protestors - WION
14 hours ago · Immigration and Customs Enforcement (ICE) agents raided several marijuana farms including the famous Glass House Farms, in California's Camarillo on Thursday (July …
Possible immigration raid escalates, tear gas deployed at ...
18 hours ago · A possible immigration raid at a farm in Ventura County escalated on Thursday afternoon when agents began firing tear gas on a crowd that had started to gather by the …
3 taken to hospitals as ICE agents raid massive California ...
14 hours ago · Three people were sent to the hospital after ICE conducted a raid at Glass House, one of the largest cannabis farms in California.
Immigration raid near Camarillo sets up clash with ICE ...
18 hours ago · Federal immigration agents descended on a farm outside of Camarillo on July 10, blocking off a road outside the facility and clashing with protesters. Reports flooded social …
Camarillo: Federal agents conduct immigration raid at ...
18 hours ago · CAMARILLO, Calif. -- Federal agents are conducting an immigration enforcement operation at an agricultural area in Ventura County, California Thursday. The operation was …
GitHub - chatgpt-chinese-gpt/chatgpt-mirrors: ChatGPT中文版镜 …
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chatgpt-china-gpt/ChatGPT_CN - GitHub
2 days ago · 全面体验 ChatGPT 中文版，无需翻墙，支持 GPT-4、4o、o1、o3 和 DeepSeek R1 及中文多功能应用！ 本项目旨在为用户提供一站式的 ChatGPT 中文版使用指南，同时整理了 …
国内如何使用 ChatGPT？最容易懂的 ChatGPT 介绍与教学指南
6 days ago · 国内如何使用 ChatGPT？最容易懂的 ChatGPT 介绍与教学指南【2025年7月更新】. Contribute to chatgpt-zh/chinese-chatgpt-guide development by creating an account on GitHub.
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chinese-chatgpt-mirrors/gpt-free - GitHub
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chinese-chatgpt-mirrors/chatgpt-sites-guide - GitHub
14 hours ago · ChatGPT适用范围广泛：1）学习助手：解答学业、论文写作、编程辅导；2）办公助手：写报告、邮件、PPT制作、数据分析；3）创意写作：小说、广告文案、内容策划；4） …
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1 day ago · ChatGPT 中文版：国内免费推荐（支持 GPT-4 和 4o、o1）【7月持续更新】 深入介绍 ChatGPT 中文版 在国内的使用方法，推荐多个 无需翻墙的 ChatGPT中文版镜像网站。
chatgpt-zh-mirrors/Official-website-in-Chinese - GitHub
chatgpt官网中文镜像-国内免费在线使用，无需登录 欢迎使用 ChatGPT官网中文镜像，这是一个为中国用户提供的 chatgpt中文版 访问镜像网站。
r/ChatGPT's FAQ Thread - Reddit
Jan 9, 2023 · ChatGPT is a chatbot that uses the GPT-3.5 language model by OpenAI to generate responses to user input. It has been trained on a large dataset of human …
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1 day ago · 本文提供 ChatGPT 中文版 使用指南，推荐 国内直连 的 ChatGPT 镜像网站， 支持GPT-4，无需翻墙。 本项目为用户提供全面的 ChatGPT 中文版 使用指南，同时整理了国内可 …
