Download and read online Infinity in PDF and EPUB This book offers an entertaining, yet thorough, explanation of the concept of, yes, infinity. Accessible to non-mathematicians, this book also cleverly connects mathematical reasoning to larger issues in society.
Download and read online Beyond Infinity in PDF and EPUB 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.
Download and read online To Infinity and Beyond in PDF and EPUB The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite. . . - David Hilbert (1862-1943) Infinity is a fathomless gulf, There is a story attributed to David Hilbert, the preeminent mathe into which all things matician whose quotation appears above. A man walked into a vanish. hotel late one night and asked for a room. "Sorry, we don't have o Marcus Aurelius (121- 180), Roman Emperor any more vacancies," replied the owner, "but let's see, perhaps and philosopher I can find you a room after alL" Leaving his desk, the owner reluctantly awakened his guests and asked them to change their rooms: the occupant of room #1 would move to room #2, the occupant of room #2 would move to room #3, and so on until each occupant had moved one room over. To the utter astonish ment of our latecomer, room #1 suddenly became vacated, and he happily moved in and settled down for the night. But a numbing thought kept him from sleep: How could it be that by merely moving the occupants from one room to another, the first room had become vacated? (Remember, all of the rooms were occupied when he arrived.
Download and read online To Infinity and Beyond in PDF and EPUB In 1986, gifted animator John Lasseter, technology guru Ed Catmull, and visionary Steve Jobs founded Pixar Animation Studios. Their goal: create a computer animated feature, despite predictions that it could never be done. An unprecedented catalog of blockbuster films later, the studio is honoring its history in this deluxe volume. From its fledgling days under George Lucas to ten demanding years creating Toy Story to the merger with Disney, each milestone is vibrantly detailed. Interviews with Pixar directors, producers, animators, voice talent, and industry insiders, as well as concept art, storyboards, and snapshots illuminate a history that is both definitive and enthralling.
Download and read online From Infinity to Infinity and Beyond in PDF and EPUB The evolution processes in nature are governed by natural laws. The origins of the laws are still debated. In the monograph, we will present the idea that the splitting of the forces in the Universe is the result of the special properties of gravity, which influences all interactions in the Universe. We will present the master equations for all interactions and sketch the solutions. All laws of nature influence matter in the same manner which is dependent only on the scale.
Download and read online Beyond Infinity in PDF and EPUB A billion years from now a human woman is created from data held within the Library of Life. Her birth could result in the destruction of the cosmos . . . A rogue element in an increasingly unstable, she draws the attention of a mysterious alien breed. Already masters of travel between parallel universes they believe this girl is the key to changing all reality. And if they track her down, the effects on the galaxy will be cataclysmic. Beyond Infinity is an epic far future thriller from an author who is both a master storyteller and a highly respected scientist.
Download and read online The Einstein Theory of Relativity in PDF and EPUB Text extracted from opening pages of book: THE EINSTEIN THEORY OF RELATIVITY Text By LILLIAN R. LIEBER Drawings By HUGH GRAY LIEBER HOLT, RINEHART AND WINSTON New York / Chicago / San Francisco To FRANKLIN DELANO ROOSEVELT who saved the world from those forces of evil which sought to destroy Art and Science and the very Dignity of Man. PREFACE In this book on the Einstein Theory of Relativity the attempt is made to introduce just enough mathematics to HELP and NOT to HINDER the lay reader/ lay can of course apply to various domains of knowledge perhaps then we should say: the layman in Relativity. Many popular discussions of Relativity, without any mathematics at all, have been written. But we doubt whether even the best of these can possibly give to a novice an adequate idea of what it is all about. What is very clear when expressed in mathematical language sounds mystical in ordinary language. On the other hand, there are many discussions, including Einstein's own papers, which are accessible to the experts only. vii We believe that there is a class of readers who can get very little out of either of these two kinds of discussion readers who know enough about mathematics to follow a simple mathematical presentation of a domain new to them, built from the ground up, with sufficient details to bridge the gaps that exist FOR THEM in both the popular and the expert presentations. This book is an attempt to satisfy the needs of this kind of reader. viii CONTENTS PREFACE Part I - THE SPECIAL THEORY I. INTRODUCTION 3 II. The Michelson-Morley Experiment 8 III. Re-Examination of the Fundamental Ideas 20 IV. The Remedy 31 V. The Solution of the Difficulty 39 VI. The Result of Applying theRemedy 44 VII. The Four-Dimensional Space-Time Con tinuum 57 VIII. Some Consequences of the Theory of Relativity 69 IX. A Point of Logic and a Summary 83 The Moral 87 Part II - THE GENERAL THEORY A GUIDE TO PART II 91 X. Introduction 95 XI. The Principle of Equivalence 101 XII. A Non-Euclidean World! 107 XIII. The Study of Spaces 113 XIV. What Is a Tensor? 127 XV. The Effect on Tensors of a Change in the Coordinate System 1 41 XVI. A Very Helpful Simplification 150 ix XVII. Operations with Tense-160 XVIII. A Physical Illustration 167 XIX. Mixed Tensors 173 XX. Contraction and Differentiation 1 78 XXI. The Little g's 187 XXII. Our Last Detour 191 XXIII. The Curvature Tensor at Last 200 XXIV. Of What Use Is the Curvature Tensor? 206 XXV. The Big G's or Einstein's Law of Gravitation 21 3 XXVI. Comparison of Einstein's Law of Gravitation with Newton's 219 XXVII. How Can the Einstein Law of Gravitation Be Tested? 227 XXVIII. Surmounting the Difficulties 237 XXIX. The Proof of the Pudding 255 XXX. More About the Path of a Planet 266 XXXI. The Perihelion of Mercury 272 XXXII. Deflection of a Ray of Light 276 XXXIII. Deflection of a Ray of Light, cont. 283 XXXIV. The Third of the Crucial Phenomena 289 XXXV. Summary 299 The Moral 303 Would You Like to Know? 310 THE ATOMIC BOMB 318 Parti THE SPECIAL THEORY I. INTRODUCTION. In order to appreciate the fundamental importance of Relativity, it is necessary to know how it arose. Whenever a revolution 11 takes place, in any domain, it is always preceded by some maladjustment producing a tension, which ultimately causes a break, followed by a greater stability at least for the time being. What was the maladjustment in Physics in the latter part of the19th century, which led to the creation of the revolutionary 11 Relativity Theory? Let us summarize it briefly: It has been assumed that all space is filled with ether, * through which radio waves and light waves are transmitted any modern child talks quite glibly * This ether is of course NOT the chemical ether which surgeons use! ft is not a liquid, solid, or gas, it has never been seen by anybody, its presence is only conjectured because of the need for some medium to transmit radio and light waves. 3
Download and read online Contemporary Science Fiction Authors in PDF and EPUB This bio-bibliography of the golden age of the science fiction field includes 308 biographies compiled from questionnaires sent to the authors, and chronological lists of 483 writers' published works. This facsimile reprint of the 1975 edition includes a title index, introduction, and minor corrections. A now-classic guide to the major and minor SF writers active in the early 1970s.
Download and read online To Infinity and Beyond in PDF and EPUB Che Guevara and Alberto Granado’s journey through South America in 1952 on a Norton 500 motorcycle is one of the most famous motorcycle journeys of all time. Guevara’s experiences on that journey led him to become a key figure of the Cuban Revolution and one of the greatest inspirational icons of the twentieth century. Steve Holmes and Pete Sandford’s journey through South America in 2009 is arguably the least known motorcycle journey of all time, but it took them on the same route, through Argentina, Chile, Peru, Colombia and Venezuela. Along the way, the pair did battle with some of the most dangerous environments on the planet including the Atacama Desert (the driest place on Earth) and the mighty Amazon River. To make it just a bit tougher they made the trip on authentic period Nortons just like Che’s. Che’s motorcycle never completed the 5000 mile journey. Would Holmes and Sandford’s 60-year-old bikes survive this epic trip? To infinity and beyond relates the dangerous and exciting adventure as they follow Che’s route faithfully.
Download and read online Infinity and Beyond in PDF and EPUB
Download and read online The Education of T C MITS in PDF and EPUB Whether you are stumped by the "commutative law" in algebra or a whiz at multiplying three-digit numbers in your head, this book opens the door to the wonders of mathematical imagining. By using simple language and intriguing illustrations drawn by her husband, Hugh, Lillian Lieber presents subtle mathematical concepts in an easy-to-understand way. Over sixty years after its release, this whimsical exploration of how to think in a mathematical mood will continue to delight math-lovers of all ages. Barry Mazur's new introduction is a tribute to the Liebers' influence on generations of mathematicians.
Download and read online Beyond Infinity in PDF and EPUB A Young Adult mystery adventure into mathematics. When high school senior Matthew “MatheMatt” Forsythe discovers a weird computer and a secret door at school, a series of events unfolds where he and his friends solve one mathematical puzzle after another. After finding a teleportal, Matt and his friend Kelsie travel to a strange world where numbers are actually alive! There they meet the mad scientist Maglio and the ghostly Fifty-Seven and discover that some of the numbers are mysteriously disappearing. They must race against time to find the significant numbers Sixty-One and Three Hundred Thirteen. But why are the numbers disappearing? And what is so important about the number eight?
Download and read online From Zero to Infinity and Beyond in PDF and EPUB With this book, children can unlock the mysteries of maths and discover the wonder of numbers Readers will discover incredible information, such as why zero is so useful; what a googol really is; why music, maths and space are connected; why bees prefer hexagons; how to tell the time on other planets; and much, much more. From marvellous measurements and startling shapes, to terrific theories and numbers in nature - maths has never been as amazing as this! From the publishers of the bestselling Thirty Days Has September
Download and read online To Pixar and Beyond in PDF and EPUB One day in November 1994, Lawrence Levy got a phone call out of the blue from Steve Jobs, who he had never met, offering him a job running a little-known company called Pixar. Jobs' career was in the doldrums: he had a reputation for being impossible to work with and Pixar had already lost him $50 million. But when Levy went for a tour of Pixar's run-down offices, he was led into a showing room filled with battered couches and shown the first scene of a new computer-animated feature, codenamed Toy Story. He took the job. On his arrival, he was dismayed to find that the situation was far worse than he had realised. Their advertising division just about broke even, their graphics software had few customers and their films offered little hope of making them money. Not only that, but Jobs was pushing to take the company public. Everything was riding on their first film release, and even then, it would have to be one of the most successful animated features of all time…
Download and read online The Edge of Infinity in PDF and EPUB First published in 1981, this is an updated edition with further evidence of black holes. The questions that astronomy now raises concern cosmic issues of the infinite, the unknowable, space, time, creation and beyond the infinite. Also discusses the problem that singularities cannot be handled by statistics. With notes on technical terms, diagrams and an index. The author is a well-known physicist and science writer.