Book picks similar to
Mathematics, Magic and Mystery by Martin Gardner
math
mathematics
magic
non-fiction
Against the Gods: The Remarkable Story of Risk
Peter L. Bernstein - 1996
Peter Bernstein has written a comprehensive history of man's efforts to understand risk and probability, beginning with early gamblers in ancient Greece, continuing through the 17th-century French mathematicians Pascal and Fermat and up to modern chaos theory. Along the way he demonstrates that understanding risk underlies everything from game theory to bridge-building to winemaking.
The R Book
Michael J. Crawley - 2007
The R language is recognised as one of the most powerful and flexible statistical software packages, and it enables the user to apply many statistical techniques that would be impossible without such software to help implement such large data sets.
Democracy for Realists: Why Elections Do Not Produce Responsive Government
Christopher H. Achen - 2016
They demonstrate that voters even those who are well informed and politically engaged mostly choose parties and candidates on the basis of social identities and partisan loyalties, not political issues. They also show that voters adjust their policy views and even their perceptions of basic matters of fact to match those loyalties. When parties are roughly evenly matched, elections often turn on irrelevant or misleading considerations such as economic spurts or downturns beyond the incumbents' control; the outcomes are essentially random. Thus, voters do not control the course of public policy, even indirectly.Achen and Bartels argue that democratic theory needs to be founded on identity groups and political parties, not on the preferences of individual voters. "Democracy for Realists" provides a powerful challenge to conventional thinking, pointing the way toward a fundamentally different understanding of the realities and potential of democratic government."
Number Talks, Grades K-5: Helping Children Build Mental Math and Computation Strategies
Sherry Parrish - 2010
The author explains what a classroom number talk is; how to follow students’ thinking and pose the right questions to build understanding; how to prepare for and design purposeful number talks; and how to develop grade-level specific thinking strategies for the operations of addition, subtraction, multiplication, and division. Number Talks includes connections to NCTM’s Principles and Standards for School Mathematics as well as reference tables to help you quickly and easily locate strategies, number talks, and video clips. Includes a Facilitator’s Guide and DVD.
To Explain the World: The Discovery of Modern Science
Steven Weinberg - 2015
He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world—they did not understand what there is to understand, or how to understand it. Yet over the centuries, through the struggle to solve such mysteries as the curious backward movement of the planets and the rise and fall of the tides, the modern discipline of science eventually emerged. Along the way, Weinberg examines historic clashes and collaborations between science and the competing spheres of religion, technology, poetry, mathematics, and philosophy.An illuminating exploration of the way we consider and analyze the world around us, To Explain the World is a sweeping, ambitious account of how difficult it was to discover the goals and methods of modern science, and the impact of this discovery on human knowledge and development.
Language at the Speed of Sight
Mark Seidenberg - 2017
Little has changed, however, since then: over half of our children still read at a basic level and few become highly proficient. Many American children and adults are not functionally literate, with serious consequences. Poor readers are more likely to drop out of the educational system and as adults are unable to fully participate in the workforce, adequately manage their own health care, or advance their children's education. In Language at the Speed of Sight, internationally renowned cognitive scientist Mark Seidenberg reveals the underexplored science of reading, which spans cognitive science, neurobiology, and linguistics. As Seidenberg shows, the disconnect between science and education is a major factor in America's chronic underachievement. How we teach reading places many children at risk of failure, discriminates against poorer kids, and discourages even those who could have become more successful readers. Children aren't taught basic print skills because educators cling to the disproved theory that good readers guess the words in texts, a strategy that encourages skimming instead of close reading. Interventions for children with reading disabilities are delayed because parents are mistakenly told their kids will catch up if they work harder. Learning to read is more difficult for children who speak a minority dialect in the home, but that is not reflected in classroom practices. By building on science's insights, we can improve how our children read, and take real steps toward solving the inequality that illiteracy breeds. Both an expert look at our relationship with the written word and a rousing call to action, Language at the Speed of Sight is essential for parents, educators, policy makers, and all others who want to understand why so many fail to read, and how to change that.
The Tetris Effect: The Game that Hypnotized the World
Dan Ackerman - 2016
But how did an obscure Soviet programmer, working on frail, antiquated computers, create a product which has now earned nearly 1 billion in sales? How did a makeshift game turn into a worldwide sensation, which has been displayed at the Museum of Modern Art, inspired a big-budget sci-fi movie, and been played in outer space? A quiet but brilliant young man, Alexey Pajitnov had long nurtured a love for the obscure puzzle game pentominoes, and became obsessed with turning it into a computer game. Little did he know that the project that he labored on alone, hour after hour, would soon become the most addictive game ever made. In this fast-paced business story, reporter Dan Ackerman reveals how Tetris became one of the world's first viral hits, passed from player to player, eventually breaking through the Iron Curtain into the West. British, American, and Japanese moguls waged a bitter fight over the rights, sending their fixers racing around the globe to secure backroom deals, while a secretive Soviet organization named ELORG chased down the game's growing global profits.The Tetris Effect is an homage to both creator and creation, and a must-read for anyone who's ever played the game-which is to say everyone.
What Does It Mean to Be Well Educated?: And More Essays on Standards, Grading, and Other Follies
Alfie Kohn - 2004
Time magazine has called him'perhaps the country's most outspoken critic of education's fixation on grades [and] test scores.' And the Washington Post says he is 'the most energetic and charismatic figure standing in the way of a major federal effort to make standardized curriculums and tests a fact of life in every U.S. school.'In this new collection of essays, Kohn takes on some of the most important and controversial topics in education of the last few years. His central focus is on the real goals of education-a topic, he argues, that we systematically ignore while lavishing attention on misguided models of learning and counterproductive techniques of motivation.The shift to talking about goals yields radical conclusions and wonderfully pungent essays that only Alfie Kohn could have written. From the title essay's challenge to conventional, conservative definitions of a good education to essays on standards and testing and grades that tally the severe educational costs of overemphasizing a narrow conception of achievement, Kohn boldly builds on his earlier work and writes for a wide audience. Kohn's new book will be greeted with enthusiasm by his many readers and by any teacher or parent looking for a refreshing perspective on today's debates about schools.
BE A HUMAN CALCULATOR
Rajesh Sarswat - 2016
However, the techniques that you shall find in this book have been tested and used (not only by the author but by countless other people) in examinations time and again.Many techniques mentioned in other books are pretty impractical and sometimes completely unusable. This book is not a package of magic. It is rather a package of methods that if practiced and persevered with can churn up magical results! This book could be a great resource for various competitive examinations and students in middle and senior school. It could help the reader in myriad ways depending upon his or her needs and scope for practice. At the same time one could figure out as to which technique would work for one and which would not, again depending upon one’s set of circumstances and needs. By reading this book, the students will be able to:(a) learn quicker methods by observing some simple techniques;compare various techniques available on each topic;(b) know the limitations of each technique;(c) save some precious minutes in various competitive and school examinations by employing the quick calculation techniques;(d) develop their own tools in the field of quick calculations.
Trigonometric Delights
Eli Maor - 1998
It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.
The Catalyst: How to Change Anyone's Mind
Jonah Berger - 2020
Marketers want to change their customers’ minds and leaders want to change organizations. Start-ups want to change industries and nonprofits want to change the world. But change is hard. Often, we persuade and pressure and push, but nothing moves. Could there be a better way?This book takes a different approach. Successful change agents know it’s not about pushing harder, or providing more information, it’s about being a catalyst. Catalysts remove roadblocks and reduce the barriers to change. Instead of asking, “How could I change someone’s mind?” they ask a different question: “Why haven’t they changed already? What’s stopping them?”The Catalyst identifies the key barriers to change and how to mitigate them. You’ll learn how catalysts change minds in the toughest of situations: how hostage negotiators get people to come out with their hands up and how marketers get new products to catch on, how leaders transform organizational culture and how activists ignite social movements, how substance abuse counselors get addicts to realize they have a problem, and how political canvassers change deeply rooted political beliefs.This book is designed for anyone who wants to catalyze change. It provides a powerful way of thinking and a range of techniques that can lead to extraordinary results. Whether you’re trying to change one person, transform an organization, or shift the way an entire industry does business, this book will teach you how to become a catalyst.
The Algorithm Design Manual
Steven S. Skiena - 1997
Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.
The Nothing That Is: A Natural History of Zero
Robert M. Kaplan - 1999
As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.
The Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser
Jason Rosenhouse - 2009
Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
Searching for Bobby Fischer: The Father of a Prodigy Observes the World of Chess
Fred Waitzkin - 1988
When Fisher disappeared from public view, Waitzkin's interest waned--until his own son Josh emerged as a chess prodigy.Searching for Bobby Fischer is the story of Fred Waitzkin and his son, from the moment six-year-old Josh first sits down at a chessboard until he competes for the national championship. Drawn into the insular, international network of chess, they must also navigate the difficult waters of their own relationship. All the while, Waitzskin searches for the elusive Bobby Fischer, whose myth still dominates the chess world and profoundly affects Waitzkin's dreams for his son.