The Smaller Infinity

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The Smaller Infinity

Author : Patricia Monk
Publisher : University of Toronto Press
ISBN 13 : 1487586507
Total Pages : 314 pages
Book Rating : 4.4/5 (875 download)

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Book Synopsis The Smaller Infinity by : Patricia Monk

Download or read book The Smaller Infinity written by Patricia Monk and published by University of Toronto Press. This book was released on 1982-12-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concepts of the Jungian theory of personality have long held considerable interest for Robertson Davies, both outside his fiction and as the explicit subject of The Manticore. This interpretive study discusses Davies' use of Jungian psychology as both a structural and a thematic device and touches on related themes of illusion and the nature of reality. Drawing extensively on early reviews and articles, Monk sketches the background to Davies' preoccupation with psychology, revealing its influence on his early writings, including the effect of the Jungian concept of the persona on Shakespeare's Boy Actors and the ocncept of the shadow on the Samuel Marchbanks material. She also notes the introduction of the important themes of illusion, as a mask for reality, and ambivalence which are extended in the Salterton trilogy, Fifth Business, and The Manticore. Monk concludes that World of Wonders reveals an apparent but unsuccessful attempt on Davies' part to get away from Jungian psychology, and an exploration of alternative myths of human identity: the romance myth of the hero and the Spenglerian myth of the Magian soul.

A Brief History of Infinity

Author : Brian Clegg
Publisher : Robinson
ISBN 13 : 1472107640
Total Pages : 185 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis A Brief History of Infinity by : Brian Clegg

Download or read book A Brief History of Infinity written by Brian Clegg and published by Robinson. This book was released on 2013-02-07 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.

Infinity

Author : Ian Stewart
Publisher : Oxford University Press
ISBN 13 : 0198755236
Total Pages : 161 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Infinity by : Ian Stewart

Download or read book Infinity written by Ian Stewart and published by Oxford University Press. This book was released on 2017 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.

The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan

Author : Amy Alznauer
Publisher : Candlewick
ISBN 13 : 0763690481
Total Pages : 49 pages
Book Rating : 4.7/5 (636 download)

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Book Synopsis The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan by : Amy Alznauer

Download or read book The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan written by Amy Alznauer and published by Candlewick. This book was released on 2020-04-14 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: A young mathematical genius from India searches for the secrets hidden inside numbers — and for someone who understands him — in this gorgeous picture-book biography. A mango . . . is just one thing. But if I chop it in two, then chop the half in two, and keep on chopping, I get more and more bits, on and on, endlessly, to an infinity I could never ever reach. In 1887 in India, a boy named Ramanujan is born with a passion for numbers. He sees numbers in the squares of light pricking his thatched roof and in the beasts dancing on the temple tower. He writes mathematics with his finger in the sand, across the pages of his notebooks, and with chalk on the temple floor. “What is small?” he wonders. “What is big?” Head in the clouds, Ramanujan struggles in school — but his mother knows that her son and his ideas have a purpose. As he grows up, Ramanujan reinvents much of modern mathematics, but where in the world could he find someone to understand what he has conceived? Author Amy Alznauer gently introduces young readers to math concepts while Daniel Miyares’s illustrations bring the wonder of Ramanujan’s world to life in the inspiring real-life story of a boy who changed mathematics and science forever. Back matter includes a bibliography and an author’s note recounting more of Ramanujan’s life and accomplishments, as well as the author’s father’s remarkable discovery of Ramanujan’s Lost Notebook.

Infinity and the Mind

Author : Rudy Rucker
Publisher : Bantam Books
ISBN 13 : 5885010897
Total Pages : 379 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Infinity and the Mind by : Rudy Rucker

Download or read book Infinity and the Mind written by Rudy Rucker and published by Bantam Books. This book was released on 1983-01-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."

Infinity and Me

Author : Kate Hosford
Publisher : Carolrhoda Books ®
ISBN 13 : 1467737917
Total Pages : 40 pages
Book Rating : 4.4/5 (677 download)

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Book Synopsis Infinity and Me by : Kate Hosford

Download or read book Infinity and Me written by Kate Hosford and published by Carolrhoda Books ®. This book was released on 2013-11-01 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I looked up, I shivered. How many stars were in the sky? A million? A billion? Maybe the number was as big as infinity. I started to feel very, very small. How could I even think about something as big as infinity? Uma can't help feeling small when she peers up at the night sky. She begins to wonder about infinity. Is infinity a number that grows forever? Is it an endless racetrack? Could infinity be in an ice cream cone? Uma soon finds that the ways to think about this big idea may just be . . . infinite.

The Beginning of Infinity

Author : David Deutsch
Publisher : Penguin UK
ISBN 13 : 0141969695
Total Pages : 571 pages
Book Rating : 4.1/5 (419 download)

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Book Synopsis The Beginning of Infinity by : David Deutsch

Download or read book The Beginning of Infinity written by David Deutsch and published by Penguin UK. This book was released on 2011-03-31 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

Beyond Infinity

Author : Eugenia Cheng
Publisher : Profile Books
ISBN 13 : 1782830812
Total Pages : 191 pages
Book Rating : 4.7/5 (828 download)

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Book Synopsis Beyond Infinity by : Eugenia Cheng

Download or read book Beyond Infinity written by Eugenia Cheng and published by Profile Books. This book was released on 2017-03-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Images of Infinity

Author : Ray Hemmings
Publisher : Tarquin Group
ISBN 13 : 9781911093466
Total Pages : 0 pages
Book Rating : 4.0/5 (934 download)

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Book Synopsis Images of Infinity by : Ray Hemmings

Download or read book Images of Infinity written by Ray Hemmings and published by Tarquin Group. This book was released on 2017-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and Explorations of the Meaning of Infinity Who has not wondered if there is something beyond the universe? Or if there is a biggest number? Or if there is something smaller than the smallest thing? These are questions about different infinities. Exploring the paradoxes and riddles of what infinity means is the invitation contained in this book. This classic book, written by the seminal Leapfrogs team, has been visually updated in this second edition for a new generation. A great addition to any mathematician's library - and to school and public libraries too. Explorations for all ages. Elegant, thought provoking and wonderful.

Naming Infinity

Author : Loren Graham
Publisher : Harvard University Press
ISBN 13 : 0674032934
Total Pages : 252 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Naming Infinity by : Loren Graham

Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Eight Lessons on Infinity

Author : Haim Shapira
Publisher : Watkins
ISBN 13 : 1786782340
Total Pages : 256 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Eight Lessons on Infinity by : Haim Shapira

Download or read book Eight Lessons on Infinity written by Haim Shapira and published by Watkins. This book was released on 2019-04-16 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fun, non-technical and wonderfully engaging guide to that most powerful and mysterious of mathematical concepts: infinity.in this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems. Infinity is a deeply counter-intuitive concept that has inspired many great thinkers. In this book we will meet many sages, both familiar and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan.The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more. Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots – that is all. But that doesn’t mean that a bit of deep thinking won’t be necessary and rewarding. Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey. Fasten your seatbelt – we are going to Infinity, and beyond!

The Great Mathematical Problems

Author : Ian Stewart
Publisher : Profile Books
ISBN 13 : 1847653510
Total Pages : 468 pages
Book Rating : 4.8/5 (476 download)

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Book Synopsis The Great Mathematical Problems by : Ian Stewart

Download or read book The Great Mathematical Problems written by Ian Stewart and published by Profile Books. This book was released on 2013-03-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Searching for Stars on an Island in Maine

Author : Alan P. Lightman
Publisher : Pantheon
ISBN 13 : 1101871865
Total Pages : 241 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Searching for Stars on an Island in Maine by : Alan P. Lightman

Download or read book Searching for Stars on an Island in Maine written by Alan P. Lightman and published by Pantheon. This book was released on 2018 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this meditation on religion and science, Lightman explores the tension between our yearning for permanence and certainty, and the modern scientific discoveries that demonstrate the impermanent and uncertain nature of the world. As a physicist, he has always held a scientific view of the world. But one summer evening, while looking at the stars from a small boat at sea he was overcome by the sensation that he was merging with a grand and eternal unity, a hint of something absolute and immaterial. This is his exploration of these seemingly contradictory impulses, and the journey along the different paths of religion and science that become part of his quest. -- adapted from publisher info.

The Book of Numbers

Author : Tim Glynne-Jones
Publisher : Arcturus Publishing
ISBN 13 : 1848584407
Total Pages : 310 pages
Book Rating : 4.8/5 (485 download)

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Book Synopsis The Book of Numbers by : Tim Glynne-Jones

Download or read book The Book of Numbers written by Tim Glynne-Jones and published by Arcturus Publishing. This book was released on 2011-06-30 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: From zero to infinity, The Book of Numbers is a handy-sized volume which opens up a new realm of knowledge. Where else in one place could you find out how the illegal numbers racket worked, what makes some people see numbers as colours, why the standard US rail gauge exactly matches the axle width of an ancient Roman chariot, and the numerological connection between Adolf Hitler and Osama Bin Laden?

Dot, Dot, Dot

Author : James A. Lindsay
Publisher : Onus Books
ISBN 13 : 9780956694898
Total Pages : 210 pages
Book Rating : 4.6/5 (948 download)

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Book Synopsis Dot, Dot, Dot by : James A. Lindsay

Download or read book Dot, Dot, Dot written by James A. Lindsay and published by Onus Books. This book was released on 2013-08-05 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinity and God have been close bedfellows over the recent millennia of human thought. But this is James A. Lindsay's point. These two ideas are thought, mere concepts. Lindsay shows in a concise and readable manner that infinity is an abstraction, and shows that, in all likelihood, so is God, particularly if he has infinite properties. This book is about math. It is about God. It is about stressing the importance of not confusing these two ideas with reality. Never the twain shall meet. "A short and engaging read on the meeting of two huge ideas, infinity and God, that leaves us seeing both as abstract ideas that may have nothing to do with reality. Honest and accessible, Dot, Dot, Dot is a great little book to stretch your thinking." - Peter Boghossian, author of A Manual for Creating Atheists "Timely, important and very readable, this book pulls the rug from under theists' feet." - Jonathan MS Pearce, The Little Book of Unholy Questions "Read this to avoid making any more cardinal sins and learn how much math is an amazing human endeavor." - Aaron Adair, PhD, The Star of Bethlehem: A Skeptical View

Bridges to Infinity

Author : Michael Guillen
Publisher : Tarcher
ISBN 13 : 9780874773453
Total Pages : 222 pages
Book Rating : 4.7/5 (734 download)

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Book Synopsis Bridges to Infinity by : Michael Guillen

Download or read book Bridges to Infinity written by Michael Guillen and published by Tarcher. This book was released on 1983 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an endlessly fascinating journey through a mathematician's looking glass.

Lectures on the Philosophy of Mathematics

Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262542234
Total Pages : 350 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins

Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.