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Author: Persi Diaconis Publisher: Princeton University Press ISBN: 0691196397 Category : Mathematics Languages : en Pages : 270
Book Description
In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact.
Author: Persi Diaconis Publisher: Princeton University Press ISBN: 0691196397 Category : Mathematics Languages : en Pages : 270
Book Description
In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact.
Author: Persi Diaconis Publisher: Princeton University Press ISBN: 140088828X Category : Mathematics Languages : en Pages : 272
Book Description
A fascinating account of the breakthrough ideas that transformed probability and statistics In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact. Persi Diaconis and Brian Skyrms begin with Gerolamo Cardano, a sixteenth-century physician, mathematician, and professional gambler who helped develop the idea that chance actually can be measured. They describe how later thinkers showed how the judgment of chance also can be measured, how frequency is related to chance, and how chance, judgment, and frequency could be unified. Diaconis and Skyrms explain how Thomas Bayes laid the foundation of modern statistics, and they explore David Hume’s problem of induction, Andrey Kolmogorov’s general mathematical framework for probability, the application of computability to chance, and why chance is essential to modern physics. A final idea—that we are psychologically predisposed to error when judging chance—is taken up through the work of Daniel Kahneman and Amos Tversky. Complete with a brief probability refresher, Ten Great Ideas about Chance is certain to be a hit with anyone who wants to understand the secrets of probability and how they were discovered.
Author: Confucius Publisher: Penguin UK ISBN: 0141967226 Category : Religion Languages : en Pages : 91
Book Description
Perhaps the most widely read thinker of all time, Confucius transformed Chinese philosophy with his belief that the greatest goal in life was pursuit of 'The Way': a search for virtue not as a means to rewards in this world or the next, but as the pinnacle of human existence.
Author: Peter Atkins Publisher: OUP Oxford ISBN: 0191622508 Category : Science Languages : en Pages : 400
Book Description
Any literate person should be familiar with the central ideas of modern science. In his sparkling new book, Peter Atkins introduces his choice of the ten great ideas of science. With wit, charm, patience, and astonishing insights, he leads the reader through the emergence of the concepts, and then presents them in a strikingly effective manner. At the same time, he works into his engaging narrative an illustration of the scientific method and shows how simple ideas can have enormous consequences. His choice of the ten great ideas are: * Evolution occurs by natural selection, in which the early attempts at explaining the origin of species is followed by an account of the modern approach and some of its unsolved problems. * Inheritance is encoded in DNA, in which the story of the emergence of an understanding of inheritance is followed through to the mapping of the human genome. * Energy is conserved, in which we see how the central concept of energy gradually dawned on scientists as they mastered the motion of particles and the concept of heat. * All change is the consequence of the purposeless collapse of energy and matter into disorder, in which the extraordinarily simple concept of entropy is used to account for events in the world. * Matter is atomic, in which we see how the concept of atoms emerged and how the different personalities of the elements arise from the structures of their atoms. * Symmetry limits, guides, and drives, in which we see how concepts related to beauty can be extended to understand the nature of fundamental particles and the forces that act between them. * Waves behave like particles and particles behave like waves, in which we see how old familiar ideas gave way to the extraordinary insights of quantum theory and transformed our perception of matter. * The universe is expanding, in which we see how a combination of astronomy and a knowledge of elementary particles accounts for the origin of the universe and its long term future. * Spacetime is curved by matter, in which we see the emergence of the theories of special and general relativity and come to understand the nature of space and time. * If arithmetic is consistent, then it is incomplete, in which we learn the origin of numbers and arithmetic, see how the philosophy of mathematics lets us understand the nature of this most cerebral of subjects, and are brought to the limits of its power. C. P. Snow once said 'not knowing the second law of thermodynamics is like never having read a work by Shakespeare'. This is an extraordinary, exciting book that not only will make you literate in science but give you deep enjoyment on the way.
Author: David F. Anderson Publisher: Cambridge University Press ISBN: 110824498X Category : Mathematics Languages : en Pages : 447
Book Description
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Author: David Sumpter Publisher: Flatiron Books ISBN: 1250246970 Category : Business & Economics Languages : en Pages : 336
Book Description
Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.
Author: Persi Diaconis Publisher: Princeton University Press ISBN: 0691169772 Category : Crafts & Hobbies Languages : en Pages : 258
Book Description
"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-
Author: Susan Hanson Publisher: Rutgers University Press ISBN: 9780813523576 Category : Science Languages : en Pages : 260
Book Description
In these thought-provoking, witty essays, some of America's most distinguished geographers explore ten geographic ideas that have literally changed the world and the way we think and act. They tackle ideas that impose shape on the world, ideas that mold our understanding of the natural environment, and ideas that establish relationships between people and places. The contributors, who include several past presidents of the Association of American Geographers, members of the National Academy of Sciences, and authors of major works in the discipline, are: Elizabeth K. Burns, Patricia Gober, Anne Godlewska, Michael F. Goodchild, Susan Hanson, Robert W. Kates, John R. Mather, William B. Meyer, Mark Monmonier, Edward Relph, Edward J. Taaffe, and B. L. Turner, II.
Author: Will Durant Publisher: Simon and Schuster ISBN: 1439107149 Category : Philosophy Languages : en Pages : 176
Book Description
A wise and witty compendium of the greatest thoughts, greatest minds, and greatest books of all time—listed in accessible and succinct form—by one of the world's greatest scholars. From the “Hundred Best Books” to the “Ten Greatest Thinkers” to the “Ten Greatest Poets,” here is a concise collection of the world’s most significant knowledge. For the better part of a century, Will Durant dwelled upon—and wrote about—the most significant eras, individuals, and achievements of human history. His selections have finally been brought together in a single, compact volume. Durant eloquently defends his choices of the greatest minds and ideas, but he also stimulates readers into forming their own opinions, encouraging them to shed their surroundings and biases and enter “The Country of the Mind,” a timeless realm where the heroes of our species dwell. From a thinker who always chose to exalt the positive in the human species, The Greatest Minds and Ideas of All Time stays true to Durant's optimism. This is a book containing the absolute best of our heritage, passed on for the benefit of future generations. Filled with Durant's renowned wit, knowledge, and unique ability to explain events and ideas in simple and exciting terms, this is a pocket-size liberal arts and humanist curriculum in one volume.
Author: Persi Diaconis
Author: Persi Diaconis
Author: Persi Diaconis
Author: Confucius
Author: Peter Atkins
Author: Ian Hacking
Author: David F. Anderson
Author: David Sumpter
Author: Persi Diaconis
Author: Susan Hanson
Author: Will Durant