Playing with Infinity

Playing with Infinity PDF Author: Rozsa Peter
Publisher:
ISBN: 9780844652351
Category :
Languages : en
Pages :

Book Description
Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

Finite and Infinite Games

Finite and Infinite Games PDF Author: James Carse
Publisher: Simon and Schuster
ISBN: 1451657293
Category : Philosophy
Languages : en
Pages : 155

Book Description
“There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.

The Infinite Game

The Infinite Game PDF Author: Simon Sinek
Publisher: Penguin
ISBN: 0735213526
Category : Business & Economics
Languages : en
Pages : 272

Book Description
From the New York Times bestselling author of Start With Why and Leaders Eat Last, a bold framework for leadership in today’s ever-changing world. How do we win a game that has no end? Finite games, like football or chess, have known players, fixed rules and a clear endpoint. The winners and losers are easily identified. Infinite games, games with no finish line, like business or politics, or life itself, have players who come and go. The rules of an infinite game are changeable while infinite games have no defined endpoint. There are no winners or losers—only ahead and behind. The question is, how do we play to succeed in the game we’re in? In this revelatory new book, Simon Sinek offers a framework for leading with an infinite mindset. On one hand, none of us can resist the fleeting thrills of a promotion earned or a tournament won, yet these rewards fade quickly. In pursuit of a Just Cause, we will commit to a vision of a future world so appealing that we will build it week after week, month after month, year after year. Although we do not know the exact form this world will take, working toward it gives our work and our life meaning. Leaders who embrace an infinite mindset build stronger, more innovative, more inspiring organizations. Ultimately, they are the ones who lead us into the future.

Naming Infinity

Naming Infinity PDF Author: Loren Graham
Publisher: Harvard University Press
ISBN: 0674032934
Category : History
Languages : en
Pages : 252

Book Description
In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

Roads to Infinity

Roads to Infinity PDF Author: John Stillwell
Publisher: CRC Press
ISBN: 1439865507
Category : Mathematics
Languages : en
Pages : 202

Book Description
Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

Ready to Play! (Disney Infinity)

Ready to Play! (Disney Infinity) PDF Author: Victoria Saxon
Publisher: RH/Disney
ISBN: 0736434283
Category : Juvenile Fiction
Languages : en
Pages : 38

Book Description
This Step 2 Step into Reading leveled reader is the perfect way to introduce boys and girls to Jack Sparrow from Disney Pirates of the Caribbean, to Anna and Elsa from Disney Frozen, and all the other characters in the popular Disney Infinity video game. Reading has never been so much fun! Step 2 Readers use basic vocabulary and short sentences to tell simple stories. For children who recognize familiar words and can sound out new words with help.

The Joy of X

The Joy of X PDF Author: Steven Henry Strogatz
Publisher: Houghton Mifflin Harcourt
ISBN: 0547517653
Category : Mathematics
Languages : en
Pages : 333

Book Description
A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."

Beyond Infinity

Beyond Infinity PDF Author: Eugenia Cheng
Publisher: Profile Books
ISBN: 1782830812
Category : Mathematics
Languages : en
Pages : 191

Book Description
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Downfall

Downfall PDF Author: Mark Barber
Publisher: Winged Hussar Publishing
ISBN: 1950423913
Category : Fiction
Languages : en
Pages : 567

Book Description
Sub Officer Kyle Hawkins is two days out of his training as a Knight Hospitaller when he is sent to the jungle planet of Paradiso. After four years of gruelling training as a warrior of the NeoVatican, criticised by his superiors for his liberal, pacifistic theological views, he volunteers for the Paradiso assignment in an attempt to prove his worth. However, after arriving he finds that it is little more than a simple security detail, attached to a platoon of Fusiliers of the PanOceanian Light Infantry, guarding a sleepy MagnaObra research facility not far from the border of Yujingyu territory known as Alpha Four Four. The platoon Hawkins works alongside is led by Lieutenant Priya Shankar, a driven, serious minded officer whose professionalism makes her popular with her seniors, but seemingly cold and unapproachable to the soldiers under her command. Experienced with peacekeeping, disaster relief operations and ceremonial guard duties, Shankar has done everything expected of a Fusilier officer - except actual combat.

The Great Mathematical Problems

The Great Mathematical Problems PDF Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 468

Book Description
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.
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