Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    He demonstrates how social business transforms lives; offers practical guidance for those who want to create social businesses of their own; explains how public and corporate policies must adapt to make room for the social business model; and shows why social business holds the potential to redeem the failed promise of free-market enterprise.

    Drawing on vast data sets and cutting-edge research, he explains the benign and malign forces that make inequality rise and fall within and among nations. He also reveals who has been helped the most by globalization, who has been held back, and what policies might tilt the balance toward economic justice.Global Inequality takes us back hundreds of years, and as far around the world as data allow, to show that inequality moves in cycles, fueled by war and disease, technological disruption, access to education, and redistribution. The recent surge of inequality in the West has been driven by the revolution in technology, just as the Industrial Revolution drove inequality 150 years ago. But even as inequality has soared within nations, it has fallen dramatically among nations, as middle-class incomes in China and India have drawn closer to the stagnating incomes of the middle classes in the developed world. A more open migration policy would reduce global inequality even further.Both American and Chinese inequality seems well entrenched and self-reproducing, though it is difficult to predict if current trends will be derailed by emerging plutocracy, populism, or war. For those who want to understand how we got where we are, where we may be heading, and what policies might help reverse that course, Milanovic s compelling explanation is the ideal place to start."

    As exciting as any action/adventure novel, this is actually the story of incredible individuals and engrossing tales behind the most profound, enduring mathematical theorems.Archimedes famously ran naked through the streets shouting, “Eureka, eureka!” after finding a method for measuring the volume of an irregular-shaped object. René Descartes was not only a great French mathematician, philosopher, physicist, and natural scientist; he was also an expert swordsman who traveled with European armies from town to town, dressed in green taffeta and accompanied by a valet. Georg Cantor grappled with mental illness as he explored the highly counterintuitive, bizarre properties of infinite sets and numbers. Emmy Noether struggled to find employment as she laid the mathematical groundwork for modern theoretical physics. And Alexander Grothendieck taught himself mathematics while interned in Nazi concentration camps, only to disappear into the Pyrenees at the zenith of his career.These are just a few stories recounted in this absorbing narrative. In probing the lives of the preeminent mathematicians in history, a Strange Wilderness will leave you entertained and enlightened, with a newfound appreciation of the tenacity, complexity, and brilliance of the mathematical genius.

    Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Peter Gray's Psychology has become a favorite of instructors with its exploration of psychology's major theories, and the evidence that supports and refutes these theories.  Each edition incorporates an exceptional amount of contemporary research, encouraging students to probe for the purposes and biological origins of behavior--the "whys" and "hows" of human psychology.  Peter Gray's engaging, readable writing style makes the science of psychology, and its interactions with biology, accessible and meaningful.  With the new edition, Gray has taken care to ensure that his comprehensive, thought-provoking, and contemporary coverage is well-attuned to the needs and interests of today's students.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    Every developed nation in the world at one time went through the transformation from predominantly informal, extralegal ownership to a formal, unified legal property system. In the West we've forgotten that creating this system is also what allowed people everywhere to leverage property into wealth. This persuasive book will revolutionize our understanding of capital and point the way to a major transformation of the world economy.

    In contrast, they have advanced a policy of draconian budget cuts--austerity--to solve the financial crisis. We are told that we have all lived beyond our means and now need to tighten our belts. This view conveniently forgets where all that debt came from. Not from an orgy of government spending, but as the direct result of bailing out, recapitalizing, and adding liquidity to the broken banking system. Through these actions private debt was rechristened as government debt while those responsible for generating it walked away scot free, placing the blame on the state, and the burden on the taxpayer. That burden now takes the form of a global turn to austerity, the policy of reducing domestic wages and prices to restore competitiveness and balance the budget. The problem, according to political economist Mark Blyth, is that austerity is a very dangerous idea. First of all, it doesn't work. As the past four years and countless historical examples from the last 100 years show, while it makes sense for any one state to try and cut its way to growth, it simply cannot work when all states try it simultaneously: all we do is shrink the economy. In the worst case, austerity policies worsened the Great Depression and created the conditions for seizures of power by the forces responsible for the Second World War: the Nazis and the Japanese military establishment. As Blyth amply demonstrates, the arguments for austerity are tenuous and the evidence thin. Rather than expanding growth and opportunity, the repeated revival of this dead economic idea has almost always led to low growth along with increases in wealth and income inequality. Austerity demolishes the conventional wisdom, marshaling an army of facts to demand that we austerity for what it is, and what it costs us.

    A technology columnist for Newsweek goes inside Apple Computer and into the heads of millions of music lovers to show how CEO Steve Jobs and his team of engineers, programmers, and designers created a product that has become a business and cultural blockbuster.

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    And scientists, being human, respond to incentives and costs, in money and glory. Choosing a research topic, deciding what papers to write and where to publish them, sticking with a familiar area or going into something new the payoff may be tenure or a job at a highly ranked university or a prestigious award or a bump in salary. The risk may be not getting "any" of that.At a time when science is seen as an engine of economic growth, Paula Stephan brings a keen understanding of the ongoing cost-benefit calculations made by individuals and institutions as they compete for resources and reputation. She shows how universities offload risks by increasing the percentage of non-tenure-track faculty, requiring tenured faculty to pay salaries from outside grants, and staffing labs with foreign workers on temporary visas. With funding tight, investigators pursue safe projects rather than less fundable ones with uncertain but potentially path-breaking outcomes. Career prospects in science are increasingly dismal for the young because of ever-lengthening apprenticeships, scarcity of permanent academic positions, and the difficulty of getting funded.Vivid, thorough, and bold, "How Economics Shapes Science" highlights the growing gap between the haves and have-nots especially the vast imbalance between the biomedical sciences and physics/engineering and offers a persuasive vision of a more productive, more creative research system that would lead and benefit the world."

    Contributors include Steven Weinberg, Peter Galison, John Maynard Smith, and Frank Wilczek.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.