Bridges to Infinity

Bridges to Infinity PDF

Author: Michael Guillen

Publisher: Tarcher

Published: 1983

Total Pages: 222

ISBN-13: 9780874773453

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This book is an endlessly fascinating journey through a mathematician's looking glass.

Playing with Infinity

Playing with Infinity PDF

Author: Rozsa Peter

Publisher:

Published: 1986-01

Total Pages:

ISBN-13: 9780844652351

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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.

Infinity and the Mind

Infinity and the Mind PDF

Author: Rudy Rucker

Publisher: Princeton University Press

Published: 2019-07-23

Total Pages:

ISBN-13: 0691191255

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A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.

Infinity + One

Infinity + One PDF

Author: Amy Harmon

Publisher: Createspace Independent Publishing Platform

Published: 2014-05-24

Total Pages: 0

ISBN-13: 9781499535396

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When two unlikely allies become two unwitting outlaws, will two unforgettable lovers defy unbeatable odds? Bonnie Rae Shelby is a superstar. She's rich. She's beautiful. She's impossibly famous. And Bonnie Rae Shelby wants to die. Finn Clyde is a nobody. He's broken. He's brilliant. He's impossibly cynical. And all he wants is a chance at life. One girl. One boy. An act of compassion. A bizarre set of circumstances. And a choice - turn your head and walk away, or reach out your hand and risk it all? With that choice, the clock starts ticking on a man with a past and a girl who can't face the future, counting down the seconds in an adventure riddled with heartbreak and humor, misunderstanding and revelation. With the world against them, two very different people take a journey that will not only change their lives, but may cost them their lives as well. Infinity + One is a tale of shooting stars and fame and fortune, of gilded cages and iron bars, of finding a friend behind a stranger's face, and discovering love in the oddest of places.

Respectable Sins

Respectable Sins PDF

Author: Jerry Bridges

Publisher: NavPress

Published: 2017-08-01

Total Pages: 289

ISBN-13: 1631468359

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Over 250,000 copies sold Have we become so focused on “major” sins that we’ve grown apathetic about our subtle sins? Renowned author Jerry Bridges takes you into a deep look at the corrosive patterns of behavior that we often accept as normal, in this established and impactful book. Practical, thought-provoking, and relevant at any stage of life, Respectable Sins addresses a dozen clusters of specific “acceptable” sins that we tend to tolerate in ourselves, such as: Jealousy Anger Judgementalism Selfishness Pride Writing from the trenches of his own battles with sin, Bridges offers a message of hope in the transforming grace of God to overcome our “respectable sins.” Now with an added study guide for personal use or group discussion so you can dive deeper into this staple of Jerry Bridges’s classic collection. “Read this book—we need to—and be ready for a gentle surgeon’s sharp knife.” —J. I. Packer, author and speaker

Beyond Infinity

Beyond Infinity PDF

Author: Eugenia Cheng

Publisher: Profile Books

Published: 2017-03-09

Total Pages: 204

ISBN-13: 1782830812

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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.

Classical Lie Algebras at Infinity

Classical Lie Algebras at Infinity PDF

Author: Ivan Penkov

Publisher: Springer Nature

Published: 2022-01-05

Total Pages: 245

ISBN-13: 3030896609

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Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge. The mathematical background required varies from chapter to chapter, but a standard course on Lie algebras and their representations, along with some knowledge of homological algebra, is necessary. Basic algebraic geometry and sheaf cohomology are needed for Chapter 10. Exercises of various levels of difficulty are interlaced throughout the text to add depth to topical comprehension. The unifying theme of this book is the structure and representation theory of infinite-dimensional locally reductive Lie algebras and superalgebras. Chapters 1-6 are foundational; each of the last 4 chapters presents a self-contained study of a specialized topic within the larger field. Lie superalgebras and flag supermanifolds are discussed in Chapters 3, 7, and 10, and may be skipped by the reader.