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How to Guard an Art Gallery

How to Guard an Art Gallery
Author: T.S. Michael
Publisher: JHU Press
Total Pages: 273
Release: 2009-09-01
Genre: Mathematics
ISBN: 0801897041

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An “accessible and engaging” tool for understanding the branch of mathematics that is so crucial to modern computer science, using real-life problems (Mathematical Reviews). What is the maximum number of pizza slices one can get by making four straight cuts through a circular pizza? How does a computer determine the best set of pixels to represent a straight line on a computer screen? How many people at a minimum does it take to guard an art gallery? Discrete mathematics has the answer to these—and many other—questions of picking, choosing, and shuffling. T. S. Michael’s gem of a book brings this vital but tough-to-teach subject to life using examples from the real world and popular culture. Each chapter uses one problem—such as slicing a pizza—to detail key concepts about counting numbers and arranging finite sets. Michael takes a different perspective in tackling each of eight problems and explains them in differing degrees of generality, showing in the process how the same mathematical concepts appear in varied guises and contexts. In doing so, he imparts a broader understanding of the ideas underlying discrete mathematics and helps readers appreciate and understand mathematical thinking and discovery. This book explains the basic concepts of discrete mathematics and demonstrates how to apply them in largely nontechnical language. The explanations and formulas can be grasped with a basic understanding of linear equations.


Problem Solving Strategies

Problem Solving Strategies
Author: Ken Johnson
Publisher:
Total Pages: 576
Release: 2001
Genre: Matemáticas
ISBN:

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Soccermatics

Soccermatics
Author: David Sumpter
Publisher: Bloomsbury Publishing
Total Pages: 288
Release: 2016-05-05
Genre: Mathematics
ISBN: 1472924150

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'Football looked at in a very different way' Pat Nevin, former Chelsea and Everton star and football media analyst Football – the most mathematical of sports. From shot statistics and league tables to the geometry of passing and managerial strategy, the modern game is filled with numbers, patterns and shapes. How do we make sense of them? The answer lies in the mathematical models applied in biology, physics and economics. Soccermatics brings football and mathematics together in a mind-bending synthesis, using numbers to help reveal the inner workings of the beautiful game. This new and expanded edition analyses the current big-name players and teams using mathematics, and meets the professionals working inside football who use numbers and statistics to boost performance. Welcome to the world of mathematical modelling, expressed brilliantly by David Sumpter through the prism of football. No matter who you follow – from your local non-league side to the big boys of the Premiership, La Liga, the Bundesliga, Serie A or the MLS – you'll be amazed at what mathematics has to teach us about the world's favourite sport.


Adventures of a Mathematician

Adventures of a Mathematician
Author: S. M. Ulam
Publisher: Univ of California Press
Total Pages: 400
Release: 1991
Genre: Biography & Autobiography
ISBN: 9780520910553

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The true story that inspired the 2020 film. The autobiography of mathematician Stanislaw Ulam, one of the great scientific minds of the twentieth century, tells a story rich with amazingly prophetic speculations and peppered with lively anecdotes. As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Françoise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.


Molly and the Mathematical Mysteries

Molly and the Mathematical Mysteries
Author: Eugenia Cheng
Publisher: Big Picture Press
Total Pages: 63
Release: 2021-03-30
Genre: Juvenile Nonfiction
ISBN: 1536217107

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Find the clues and lift the flaps on this mathematical mystery! Join Molly as she ventures into a curious world where nothing is quite as it seems. A trail of clues leads from scene to scene, presenting Molly with a number of challenges. But who is leaving the clues, and where will they lead? This interactive mystery shows math isn't just about numbers—it’s about imagination! An explorative and creative approach to the world of mathematics.


Further Adventures of Penrose the Mathematical Cat

Further Adventures of Penrose the Mathematical Cat
Author: Theoni Pappas
Publisher: Wide World Publishing
Total Pages: 134
Release: 2004
Genre: Juvenile Nonfiction
ISBN:

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Penrose is back, and ready to usher young readers along as he encounters more amazing mathematical ideas in a sequence of adventure tales. At once demystifying and challenging, the book gives readers visuals to consider and things to do as they -- along with Penrose -- discover mathematical "rep-tiles"; meet x, the mathematical actor; find out when one and one do not equal two; help Sorry Snowflake find its symmetry; cross pi's path; learn that mathematical donuts are not for dunking; and more. Plus, Penrose tantalizes, teases, and perplexes with his puzzles and games around every corner. Like Pappas's other acclaimed mathematics books for children, these amusing and informative stories are designed to stimulate the imagination and motivate young minds to think about, grasp, and even marvel over concepts they might otherwise shy away from. A good bet for Pappas fans, Penrose fans, math buffs, teachers, students, and parents.


Alex's Adventures in Numberland

Alex's Adventures in Numberland
Author: Alex Bellos
Publisher: A&C Black
Total Pages: 449
Release: 2010-04-05
Genre: Mathematics
ISBN: 1408811146

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A tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize 'Original and highly entertaining' Sunday Times 'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist 'Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.


The Adventures of Penrose, the Mathematical Cat

The Adventures of Penrose, the Mathematical Cat
Author: Theoni Pappas
Publisher: Wide World Publishing
Total Pages: 132
Release: 1997
Genre: Juvenile Nonfiction
ISBN:

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Penrose the cat explores and experiences a variety of mathematical concepts, including infinity, the golden rectangle, and impossible figures.