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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.
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.
This Is A New Release Of The Original 1914 Edition.
A mind-bending excursion to the limits of science and mathematics Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the centuries, from ancient mathematical conundrums such as "squaring the circle," first attempted by the Pythagoreans, to G?del's vexing theorem, from perpetual motion to the upredictable behavior of chaotic systems such as the weather. A. K. Dewdney, PhD (Ontario, Canada), was the author of Scientific American's "Computer Recreations" column for eight years. He has written several critically acclaimed popular math and science books, including A Mathematical Mystery Tour (0-471-40734-8); Yes, We Have No Neutrons (0-471-29586-8); and 200% of Nothing (0-471-14574-2).
It feels like our world is spinning out of control. We see poverty, disease, and destruction all around us, and as we search for ways to make sense of the chaos, we're turning to new disciplines for answers and solutions. New, creative innovations are needed, and these new approaches demand different methods and different theories. This book is presented as a handbook for teaching and learning how to design for impact. In it, you'll learn how to apply the process of design to large, wicked problems, and how to gain control over complexity by acting as a social entrepreneur. You'll learn an argument for why design is a powerful agent of change, and you'll read practical methods for engaging with large-scale social problems. You can read this entire book online for free at http://www.wickedproblems.com/
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
This text introduces students to both primary sources and analytical essys on important topics in U.S. history. The book asks students to evaluate primary surces, test the interpretations and draw their own conclusions.
An "exploration of the life and work of world-changing thinkers--from Adam Smith to John Maynard Keynes--and how their ideas would solve the great economic problems we face today"--Amazon.com.
Problems remain hidden in organizations for a number of reasons, including fear, organizational complexity, gatekeepers who insulate leaders from problems that are coming up, and finally, an overemphasis on formal analysis in place of intuition and observation. This book lays out the key skills and capabilities required to ensure that problems do not remain hidden in your organization. It explains how leaders can become effective problem finders, unearthing problems before they destroy an organization. The book explains how leaders can become an anthropologist, going out and observe how employees, customers, and suppliers actually behave. It then goes on to present how they can circumvent the gatekeepers, so they can go directly to the source to see and hear the raw data; hunt for patterns, including refining your individual and collective pattern recognition capability; "connect the dots" among issues that may initially seem unrelated, but in fact, have a great deal in common; give front-line employees training in a communication technique; encourage useful mistakes, including create a "Red Pencil Award"; and watch the game film, where leaders reflect systematically on their own organization's conduct and performance, as well as on the behavior and performance of competitors.
Featuring Western and Soviet historians, the diverse essays gathered here illuminate the main developments, accomplishments, and failures of Peter's reign in Russia, reopening the troubling debates which color any assessment of the Petrine achievement.