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Book Synopsis Four Colors Suffice by : Robin J. Wilson
Download or read book Four Colors Suffice written by Robin J. Wilson and published by Princeton University Press. This book was released on 2002 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Map Coloring, Polyhedra and the FourColor Problem by : David W. Barnette
Download or read book Map Coloring, Polyhedra and the FourColor Problem written by David W. Barnette and published by American Mathematical Soc.. This book was released on 1984-03-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Four Colours Suffice by : Robin J. Wilson
Download or read book Four Colours Suffice written by Robin J. Wilson and published by . This book was released on 2003 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-colour problem was one of the most famous and controversial conundrums ever known, and stumped thousands of puzzlers for over a century. It sounded simple- what is the least number of colours needed to fill in any map, so that neighbouring countries are always coloured differently? However, it would take over a hundred years for amateur problem-solvers and mathematicians alike to answer the question first posed by Francis Guthrie in 1852. And, even when a solution was finally found using computers, debate raged over whether this technology could ever provide the proof that traditional pen-and-paper calculations could. This is the gripping story of the race to solve the riddle - a tale of dedicated puzzlers, mind-boggling maps, human ingenuity and the great rhombicuboctahedron
Book Synopsis Four Colors Suffice by : Robin Wilson
Download or read book Four Colors Suffice written by Robin Wilson and published by Princeton University Press. This book was released on 2021-10-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. This new edition features many color illustrations. It also includes a new foreword by Ian Stewart on the importance of the map problem and how it was solved.
Download or read book The Ghost Map written by Steven Johnson and published by Penguin. This book was released on 2006 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is the summer of 1854. Cholera has seized London with unprecedented intensity. A metropolis of more than 2 million people, London is just emerging as one of the first modern cities in the world. But lacking the infrastructure necessary to support its dense population - garbage removal, clean water, sewers - the city has become the perfect breeding ground for a terrifying disease that no one knows how to cure." "As their neighbors begin dying, two men are spurred to action: the Reverend Henry Whitehead, whose faith in a benevolent God is shaken by the seemingly random nature of the victims, and Dr. John Snow, whose ideas about contagion have been dismissed by the scientific community, but who is convinced that he knows how the disease is being transmitted. The Ghost Map chronicles the outbreak's spread and the desperate efforts to put an end to the epidemic - and solve the most pressing medical riddle of the age."--BOOK JACKET.
Book Synopsis Seventy Problems by : John Frank Morrison
Download or read book Seventy Problems written by John Frank Morrison and published by . This book was released on 1914 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Great Mental Models, Volume 1 by : Shane Parrish
Download or read book The Great Mental Models, Volume 1 written by Shane Parrish and published by Penguin. This book was released on 2024-10-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.
Book Synopsis The Use of Maps by : Frederick Kenneth Branom
Download or read book The Use of Maps written by Frederick Kenneth Branom and published by . This book was released on 1925 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Report by : Virginia. Adjutant General's Office
Download or read book Report written by Virginia. Adjutant General's Office and published by . This book was released on 1913 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infantry Journal written by and published by . This book was released on 1927 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Four-Color Theorem by : Rudolf Fritsch
Download or read book The Four-Color Theorem written by Rudolf Fritsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.
Book Synopsis Introduction to Hamiltonian Dynamical Systems and the N-Body Problem by : Kenneth R. Meyer
Download or read book Introduction to Hamiltonian Dynamical Systems and the N-Body Problem written by Kenneth R. Meyer and published by Springer. This book was released on 2017-05-04 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ... It is a well-organized and accessible introduction to the subject ... . This is an attractive book ... ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic ... and is sure to excite future generations of readers. ... This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ... it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d)
Book Synopsis Notes and Problems on the Adjustment and Use of Engineering Instruments by : Leonard Sewall Smith
Download or read book Notes and Problems on the Adjustment and Use of Engineering Instruments written by Leonard Sewall Smith and published by . This book was released on 1900 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principles and Practice of Constraint Programming - CP 2001 by : Toby Walsh
Download or read book Principles and Practice of Constraint Programming - CP 2001 written by Toby Walsh and published by Springer. This book was released on 2003-06-30 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Principles and Practice of Constraint Programming, CP 2001, held in Paphos, Cyprus, in November/December 2001. The 37 revised full papers, 9 innovative applications presentations, and 14 short papers presented were carefully reviewed and selected from a total of 135 submissions. All current issues in constraint processing are addressed, ranging from theoretical and foundational issues to advanced and innovative applications in a variety of fields.
Book Synopsis Officers' Manual by : James Alfred Moss
Download or read book Officers' Manual written by James Alfred Moss and published by . This book was released on 1917 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Journal of Geography written by and published by . This book was released on 1923 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Petroleum Age written by and published by . This book was released on 1919 with total page 1588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
