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| Author | : Mario Livio |
| Publisher | : |
| Total Pages | : 353 |
| Release | : 2007 |
| Genre | : Group theory |
| ISBN | : 9780285637894 |
From the author of the bestseller "The Golden Ratio" comes the story of the 4,000-year-long mathematical quest that uncovered the laws of symmetry in nature and the arts.
| Author | : Mario Livio |
| Publisher | : Simon and Schuster |
| Total Pages | : 367 |
| Release | : 2005-09-19 |
| Genre | : Mathematics |
| ISBN | : 0743274628 |
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.
| Author | : Mario Livio |
| Publisher | : Simon and Schuster |
| Total Pages | : 320 |
| Release | : 2011-02-22 |
| Genre | : Mathematics |
| ISBN | : 1416594434 |
Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
| Author | : Amir Alexander |
| Publisher | : Harvard University Press |
| Total Pages | : 320 |
| Release | : 2011-10-15 |
| Genre | : Mathematics |
| ISBN | : 0674061748 |
In the fog of a Paris dawn in 1832, variste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.
| Author | : Mario Livio |
| Publisher | : Simon and Schuster |
| Total Pages | : 352 |
| Release | : 2014-05-27 |
| Genre | : Biography & Autobiography |
| ISBN | : 1439192375 |
"Drawing on the lives of five great scientists -- Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle and Albert Einstein -- scientist/author Mario Livio shows how even the greatest scientists made major mistakes and how science built on these errors to achieve breakthroughs, especially into the evolution of life and the universe"--
| Author | : Christopher G. Small |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 139 |
| Release | : 2007-04-03 |
| Genre | : Mathematics |
| ISBN | : 0387489010 |
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.
| Author | : Jordan Ellenberg |
| Publisher | : Penguin |
| Total Pages | : 482 |
| Release | : 2015-05-26 |
| Genre | : Mathematics |
| ISBN | : 0143127535 |
“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.
| Author | : Dr. Michael Guillen |
| Publisher | : Hachette Books |
| Total Pages | : 239 |
| Release | : 2012-06-05 |
| Genre | : Mathematics |
| ISBN | : 1401304915 |
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.
| Author | : Barry Cipra |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 108 |
| Release | : |
| Genre | : Science |
| ISBN | : 9780821890431 |
Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
| Author | : Hal Elrod |
| Publisher | : Harmony |
| Total Pages | : 273 |
| Release | : 2021-01-05 |
| Genre | : Self-Help |
| ISBN | : 0593232305 |
The bestselling author of The Miracle Morning shares the secret to unlocking your full potential—all day, every day. “A simple, proven formula for creating extraordinary results in your life.”—Lewis Howes, New York Times bestselling author of The School of Greatness Even after the incredible success of his book The Miracle Morning, Hal Elrod realized that he still had more to share with the world. What he had discovered was a timeless but overlooked formula for success. The world’s top achievers have used it for centuries. He used it to thrive against seemingly insurmountable odds, from overcoming life-threatening health challenges to near financial collapse. That formula is The Miracle Equation, and it couldn’t be any simpler: Unwavering Faith + Extraordinary Effort = Miracles By establishing and maintaining Unwavering Faith that you can achieve anything you desire, and then putting forth Extraordinary Effort until you do, you’ll create results beyond what you believe to be possible. In The Miracle Equation, you’ll learn how to • Replace fear with faith • Move from resistance to acceptance • Let go of negative emotions • Turn off your stress response • Overcome your limitations to unlock your limitless potential • Develop emotional invincibility • Grow from happiness, which is fleeting, to inner peace, which is lasting And with the Miracle Equation 30-Day Challenge to guide your way, you’ll create a step-by-step plan to actualize your miracles and become the person you need to be in order to succeed. No goal is out of reach! Praise for The Miracle Equation “The Miracle Equation isn’t just a book, it’s the formula that I myself have used to achieve greatness beyond what I ever believed was possible. Hal Elrod has taken the mystery out of miracles and gives you a simple, proven formula for creating extraordinary results in your life. Highly recommended.”—Lewis Howes, New York Times bestselling author of The School of Greatness "You're only two decisions away from achieving everything you want. And my friend, Hal Elrod, has simplified these two decisions into a simple equation for achieving results. Follow it, and your success is virtually guaranteed. If you want your biggest goals to move from possible, to probable, to inevitable, you better read The Miracle Equation."—Mel Robbins, bestselling author of The 5-Second Rule
