Illustrated with examples ranging from everyday issues to serious problems, this book will help you understand the behaviors that great problem-solvers use to tackle the hardest problems with skill and panache, regardless of the industry or nature of the problem. --
Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.
The Big Problem of Small Change offers the first credible and analytically sound explanation of how a problem that dogged monetary authorities for hundreds of years was finally solved. Two leading economists, Thomas Sargent and François Velde, examine the evolution of Western European economies through the lens of one of the classic problems of monetary history--the recurring scarcity and depreciation of small change. Through penetrating and clearly worded analysis, they tell the story of how monetary technologies, doctrines, and practices evolved from 1300 to 1850; of how the "standard formula" was devised to address an age-old dilemma without causing inflation. One big problem had long plagued commodity money (that is, money literally worth its weight in gold): governments were hard-pressed to provide a steady supply of small change because of its high costs of production. The ensuing shortages hampered trade and, paradoxically, resulted in inflation and depreciation of small change. After centuries of technological progress that limited counterfeiting, in the nineteenth century governments replaced the small change in use until then with fiat money (money not literally equal to the value claimed for it)--ensuring a secure flow of small change. But this was not all. By solving this problem, suggest Sargent and Velde, modern European states laid the intellectual and practical basis for the diverse forms of money that make the world go round today. This keenly argued, richly imaginative, and attractively illustrated study presents a comprehensive history and theory of small change. The authors skillfully convey the intuition that underlies their rigorous analysis. All those intrigued by monetary history will recognize this book for the standard that it is.
"At its inception in 1868, the modern Japanese state pursued policies and created institutions that lacked a coherent conception of religion. Yet the architects of the modern state pursued an explicit “religious settlement” as they set about designing a constitutional order through the 1880s. As a result, many of the cardinal institutions of the state, particularly the imperial institution, eventually were defined in opposition to religion. Drawing on an assortment of primary sources, including internal government debates, diplomatic negotiations, and the popular press, Trent E. Maxey documents how the novel category of religion came to be seen as the “greatest problem” by the architects of the modern Japanese state. In Meiji Japan, religion designated a cognitive and social pluralism that resisted direct state control. It also provided the modern state with a means to contain, regulate, and neutralize that plurality."
A Robert F. Sibert Honor Book! Discover the true story about the determined engineer who fixed London’s pollution problem in this funny, accessible nonfiction picture book featuring engaging art from the illustrator of Queen Victoria’s Bathing Machine. It’s the summer of 1858, and London’s River Thames STINKS. What is creating this revolting smell? The answer is gross: the river is full of poop. But the smell isn’t the worst problem. Every few years, cholera breaks out, and thousands of people die. Could there be a connection between the foul water and the deadly disease? One engineer dreams of making London a cleaner, healthier place. His name is Joseph Bazalgette. His grand plan to create a new sewer system to clean the river is an engineering marvel. And his sewers will save lives. Nothing stinky about that. With tips for how to prevent pollution today, this fascinating look at science, history, and what one person can do to create change will impress and astound readers who want to help make their planet a cleaner, happier place to live.
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
From inside Google Ventures, a unique five-day process for solving tough problems, proven at thousands of companies in mobile, e-commerce, healthcare, finance, and more. Entrepreneurs and leaders face big questions every day: What’s the most important place to focus your effort, and how do you start? What will your idea look like in real life? How many meetings and discussions does it take before you can be sure you have the right solution? Now there’s a surefire way to answer these important questions: the Design Sprint, created at Google by Jake Knapp. This method is like fast-forwarding into the future, so you can see how customers react before you invest all the time and expense of creating your new product, service, or campaign. In a Design Sprint, you take a small team, clear your schedules for a week, and rapidly progress from problem, to prototype, to tested solution using the step-by-step five-day process in this book. A practical guide to answering critical business questions, Sprint is a book for teams of any size, from small startups to Fortune 100s, from teachers to nonprofits. It can replace the old office defaults with a smarter, more respectful, and more effective way of solving problems that brings out the best contributions of everyone on the team—and helps you spend your time on work that really matters.