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The Solution of Map Problems

The Solution of Map Problems
Author:
Publisher:
Total Pages: 60
Release: 1925
Genre: Command of troops
ISBN:

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The Solution of Map Problems

The Solution of Map Problems
Author: Charles Michael Bundel
Publisher:
Total Pages: 78
Release: 1921
Genre: Command of troops
ISBN:

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The Solution of Map Problems

The Solution of Map Problems
Author: U.S. Army Command and General Staff College
Publisher:
Total Pages: 80
Release: 1922
Genre: Command of troops
ISBN:

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The Solution of Map Problems. 1925

The Solution of Map Problems. 1925
Author: United States. Command and General Staff College, Fort Leavenworth, Kansas
Publisher:
Total Pages: 43
Release: 1925
Genre: Strategy
ISBN:

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Four Colors Suffice

Four Colors Suffice
Author: Robin J. Wilson
Publisher: Princeton University Press
Total Pages: 284
Release: 2002
Genre: Mathematics
ISBN: 9780691120232

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On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.


Strategic Thinking in Complex Problem Solving

Strategic Thinking in Complex Problem Solving
Author: Arnaud Chevallier
Publisher: Oxford University Press
Total Pages: 288
Release: 2016-07-06
Genre: Business & Economics
ISBN: 0190463929

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Whether you are a student or a working professional, you can benefit from being better at solving the complex problems that come up in your life. Strategic Thinking in Complex Problem Solving provides a general framework and the necessary tools to help you do so. Based on his groundbreaking course at Rice University, engineer and former strategy consultant Arnaud Chevallier provides practical ways to develop problem solving skills, such as investigating complex questions with issue maps, using logic to promote creativity, leveraging analogical thinking to approach unfamiliar problems, and managing diverse groups to foster innovation. This book breaks down the resolution process into four steps: 1) frame the problem (identifying what needs to be done), 2) diagnose it (identifying why there is a problem, or why it hasn't been solved yet), 3) identify and select potential solutions (identifying how to solve the problem), and 4) implement and monitor the solution (resolving the problem, the 'do'). For each of these four steps - the what, why, how, and do - this book explains techniques that promotes success and demonstrates how to apply them on a case study and in additional examples. The featured case study guides you through the resolution process, illustrates how these concepts apply, and creates a concrete image to facilitate recollection. Strategic Thinking in Complex Problem Solving is a tool kit that integrates knowledge based on both theoretical and empirical evidence from many disciplines, and explains it in accessible terms. As the book guides you through the various stages of solving complex problems, it also provides useful templates so that you can easily apply these approaches to your own personal projects. With this book, you don't just learn about problem solving, but how to actually do it.