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Developing Mathematical Thinking: A Guide to Rethinking the Mathematics Classroom by Jonathan Ned Katz
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A Concise History of Mathematics
Dirk Jan Struik - 1948
Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
Chess: 5334 Problems, Combinations and Games
László Polgár - 1994
Organized by problem type, each combination, or game is keyed to an easy-to-follow solution at the back of the book.. More than 6,000 illustrations make it easy to see the possibilities regardless of where your pieces are on the board. The book also includes the basic rules of the game and an international bibliography. Chess is the ultimate book on winning the game.
A Treasury of Knitting Patterns
Barbara G. Walker - 1967
Book by Walker, Barbara G.
The History of the Calculus and Its Conceptual Development
Carl B. Boyer - 1959
Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.
Keats
Andrew Motion - 1997
Unlike previous biographers, Motion pays close attention to the social and political worlds Keats inhabited. Making incisive use of the poet's inimitable letters, Motion presents a masterful account."Motion has given us a new Keats, one who is skinned alive, a genius who wrote in a single month all the poems we cherish, a victim who was tormented by the best doctors of the age. . . . This portrait, stripped of its layers of varnish and restored to glowing colours, should last us for another generation."—Edmund White, The Observer Review"Keats's letters fairly leap off the page. . . . [Motion] listens for the 'freely associating inquiry and incomparable verve and dash,' the 'headlong charge,' of Keats's jazzlike improvisations, which give us, like no other writing in English, the actual rush of a man thinking, a mind hurtling forward unpredictably and sweeping us along."—Morris Dickstein, New York Times Book Review"Scrupulous and eloquent."—Gregory Feeley, Philadelphia Inquirer
Alpha and Omega: The Search for the Beginning and End of the Universe
Charles Seife - 2003
Today we are at the brink of discoveries that should soon reveal the deepest secrets of the universe.Alpha and Omega is a dispatch from the front lines of the cosmological revolution that is being waged at observatories and laboratories around the world-in Europe, in America, and even in Antarctica--where scientists are actually peering into both the cradle of the universe and its grave. Scientists--including galaxy hunters and microwave eavesdroppers, gravity theorists and atom smashers, all of whom are on the trail of dark matter, dark energy, and the growing inhabitants of the particle zoo-now know how the universe will end and are on the brink of understanding its beginning. Their findings will be among the greatest triumphs of science, even towering above the deciphering of the human genome.This is the book you need to help understand the frequent front-page headlines heralding dramatic cosmological discoveries. It makes cutting-edge science both crystal clear and wonderfully exciting.
Calculus: Early Transcendentals
James Stewart - 1995
Stewart's Calculus is successful throughout the world because he explains the material in a way that makes sense to a wide variety of readers. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus. Stewart's examples stand out because they are not just models for problem solving or a means of demonstrating techniques--they also encourage readers to develp an analytic view of the subject. This edition includes new problems, examples, and projects. This version of Stewart's book introduced exponential and logarithmic functions in the first chapter and their limits and derivatives are found in Chapters 2 and 3.
The Great Firewall of China: How to Build and Control an Alternative Version of the Internet
James Griffiths - 2019
Even as the Chinese internet grows and online businesses thrive, speech is controlled, dissent quashed, and any attempts to organise outside the official Communist Party are quickly stamped out. But the effects of the Great Firewall are not confined to China itself. More and more, China is threatening global internet freedoms as it seeks to shore up its censorship regime, with methods that are providing inspiration for aspiring autocrats the world over.As censorship, distortion and fake news gain traction around the world, and internet giants such as Facebook show ever greater willingness to compromise internet freedoms in pursuit of the Chinese market, James Griffiths takes a look inside the Great Firewall and explores just how far it has spread, arguing that its influence can only be countered by initiating a radical new vision of online liberty.
The Miracle: The Epic Story of Asia's Quest for Wealth
Michael Schuman - 2009
CNN’s Wolf Blitzer calls The Miracle, “An amazing story and it’s all true,” while the New York Times praises Schuman for being, “not just a skilled reporter [but] also a gifted journalistic storyteller.” The Miracle is essential reading for anyone who truly wants to understand today’s—and tomorrow’s—world.
Asteroid Hunters
Carrie Nugent - 2017
For the first time ever, we are reaching the point where we may be able to prevent the horrible natural disaster that would result from an asteroid collision. In Asteroid Hunters, Nugent reveals what known impact asteroids have had: the extinction of the dinosaurs, the earth-sized hole Shoemaker Levy 9 left in Jupiter just a few decades ago, how the meteorite that bursted over Chelyabinsk in Russia could have started a war, and unlucky Ms. Anne Hodges—the only person (that we know of) in US history to be the victim of a direct hit. Nugent also introduces the telescope she uses to detect near-Earth asteroids. Ultimately, detection is the key to preventing asteroid impact, and these specialized scientists are working to prevent the unthinkable from happening. If successful, asteroid hunting will lead to the first natural disaster humans have the know-how and the technology to prevent. The successful hunt and mapping of asteroids could mean nothing less than saving life on earth.
True Names... and Other Dangers
Vernor Vinge - 1987
VingeThe Ungoverned (1985)Long Shot (1972)Marooned in Realtime (excerpt) (1987)
Hacking Your Education: Escape Lectures, Save Thousands, and Hustle Your Way to a Brighter Future
Dale J. Stephens - 2013
Student loan debt recently eclipsed credit card debt for the first time in history and now tops one trillion dollars. And the throngs of unemployed graduates chasing the same jobs makes us wonder whether there’s a better way to “make it” in today’s marketplace. There is—and Dale Stephens is proof of that. In Hacking Your Education, Stephens speaks to a new culture of “hackademics” who think college diplomas are antiquated. Stephens shows how he and dozens of others have hacked their education, and how you can, too. You don’t need to be a genius or especially motivated to succeed outside school. The real requirements are much simpler: curiosity, confidence, and grit. Hacking Your Education offers valuable advice to current students as well as those who decided to skip college. Stephens teaches you to create opportunities for yourself and design your curriculum—inside or outside the classroom. Whether your dream is to travel the world, build a startup, or climb the corporate ladder, Stephens proves you can do it now, rather than waiting for life to start after “graduation” day.
Brain Sex: The Real Difference Between Men and Women
Anne Moir - 1989
Biopunk: Kitchen-Counter Scientists Hack the Software of Life
Marcus Wohlsen - 2011
"If you want to change the world in some big way," he says, "that's where you should start-biological molecules." The most disruptive force on the planet resides in DNA. Biotech companies and academic researchers are just beginning to unlock the potential of piecing together life from scratch. Champions of synthetic biology believe that turning genetic code into Lego-like blocks to build never-before-seen organisms could solve the thorniest challenges in medicine, energy, and environmental protection. But as the hackers who cracked open the potential of the personal computer and the Internet proved, the most revolutionary discoveries often emerge from out-of-the-way places, forged by brilliant outsiders with few resources besides boundless energy and great ideas. In "Biopunk," Marcus Wohlsen chronicles a growing community of DIY scientists working outside the walls of corporations and universities who are committed to democratizing DNA the way the Internet did information. The "biohacking" movement, now in its early, heady days, aims to unleash an outbreak of genetically modified innovation by making the tools and techniques of biotechnology accessible to everyone. Borrowing their idealism from the worlds of open-source software, artisinal food, Internet startups, and the Peace Corps, biopunks are devoted advocates for open-sourcing the basic code of life. They believe in the power of individuals with access to DNA to solve the world's biggest problems. You'll meet a new breed of hackers who aren't afraid to get their hands wet, from entrepreneurs who aim to bring DNA-based medical tools to the poorest of the poor to a curious tinkerer who believes a tub of yogurt and a jellyfish gene could protect the world's food supply. These biohackers include: -A duo who started a cancer drug company in their kitchen -A team who built an open-source DNA copy machine -A woman who developed a genetic test in her apartment for a deadly disease that had stricken her family Along with the potential of citizen science to bring about disruptive change, Wohlsen explores the risks of DIY bioterrorism, the possibility of genetic engineering experiments gone awry, and whether the ability to design life from scratch on a laptop might come sooner than we think.
The Mathematics of Poker
Bill Chen - 2006
By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.