Googolplex Written Out

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Googolplex Written Out

Wolfgang H. Nitsche
Googolplex Written Out Book PDF

Author : Wolfgang H. Nitsche
Publisher : Unknown
Page : 128 pages
File Size : 46,8 Mb
Release : 2013-08-31
Category : Electronic
ISBN : 0990007219

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Googolplex Written Out by Wolfgang H. Nitsche Pdf

In 1940, the mathematician Edward Kasner published the book "Mathematics and the Imagination", in which he popularized the words googol and googolplex which his nephew suggested as names for big numbers. The number googol has been defined as 1 followed by a hundred zeros: googol = 10^100 = 10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 The much larger number googolplex has been defined as 1 followed by a googol zeros. While this number can easily be written as googolplex = 10^googol = 10^(10^100) using the exponential notation, it has often been claimed that the number googolplex is so large that it can never be written out in full. However in this "Googolplex Written Out" series of books, I am doing just that. It consists out of 10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 volumes, and each volume contains 1 000 000 zeros of the number googolplex. The first volume also contains the initial digit one with which googolplex starts. www.GoogolplexWrittenOut.com

Really Big Numbers

Richard Evan Schwartz
Really Big Numbers Book PDF

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
Page : 194 pages
File Size : 54,6 Mb
Release : 2014-06-30
Category : Juvenile Nonfiction
ISBN : 9781470414252

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Really Big Numbers by Richard Evan Schwartz Pdf

In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.

Mathematics and the Imagination

Edward Kasner,James Newman
Mathematics and the Imagination Book PDF

Author : Edward Kasner,James Newman
Publisher : Courier Corporation
Page : 400 pages
File Size : 42,6 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486320274

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Mathematics and the Imagination by Edward Kasner,James Newman Pdf

With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

Making up Numbers: A History of Invention in Mathematics

Ekkehard Kopp
Making up Numbers A History of Invention in Mathematics Book PDF

Author : Ekkehard Kopp
Publisher : Open Book Publishers
Page : 280 pages
File Size : 54,5 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9781800640979

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Making up Numbers: A History of Invention in Mathematics by Ekkehard Kopp Pdf

Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Fantastic Numbers and Where to Find Them

Antonio Padilla
Fantastic Numbers and Where to Find Them Book PDF

Author : Antonio Padilla
Publisher : Farrar, Straus and Giroux
Page : 211 pages
File Size : 50,5 Mb
Release : 2022-07-26
Category : Science
ISBN : 9780374600570

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Fantastic Numbers and Where to Find Them by Antonio Padilla Pdf

A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.

Plato at the Googleplex

Rebecca Goldstein
Plato at the Googleplex Book PDF

Author : Rebecca Goldstein
Publisher : Pantheon
Page : 481 pages
File Size : 55,5 Mb
Release : 2014
Category : Philosophy
ISBN : 9780307378194

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Plato at the Googleplex by Rebecca Goldstein Pdf

Acclaimed philosopher and novelist Rebecca Newberger Goldstein provides a dazzlingly original plunge into the drama of philosophy, revealing its hidden role in today's debates on religion, morality, politics, and science.

Extremely Loud & Incredibly Close

Jonathan Safran Foer
Extremely Loud Incredibly Close Book PDF

Author : Jonathan Safran Foer
Publisher : Houghton Mifflin Harcourt
Page : 372 pages
File Size : 41,7 Mb
Release : 2005
Category : Fiction
ISBN : 0618329706

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Extremely Loud & Incredibly Close by Jonathan Safran Foer Pdf

Jonathan Safran Foer emerged as one of the most original writers of his generation with his best-selling debut novel, Everything Is Illuminated. Now, with humor, tenderness, and awe, he confronts the traumas of our recent history. What he discovers is solace in that most human quality, imagination. Meet Oskar Schell, an inventor, Francophile, tambourine player, Shakespearean actor, jeweler, pacifist, correspondent with Stephen Hawking and Ringo Starr. He is nine years old. And he is on an urgent, secret search through the five boroughs of New York. His mission is to find the lock that fits a mysterious key belonging to his father, who died in the World Trade Center on 9/11. An inspired innocent, Oskar is alternately endearing, exasperating, and hilarious as he careens from Central Park to Coney Island to Harlem on his search. Along the way he is always dreaming up inventions to keep those he loves safe from harm. What about a birdseed shirt to let you fly away? What if you could actually hear everyone's heartbeat? His goal is hopeful, but the past speaks a loud warning in stories of those who've lost loved ones before. As Oskar roams New York, he encounters a motley assortment of humanity who are all survivors in their own way. He befriends a 103-year-old war reporter, a tour guide who never leaves the Empire State Building, and lovers enraptured or scorned. Ultimately, Oskar ends his journey where it began, at his father's grave. But now he is accompanied by the silent stranger who has been renting the spare room of his grandmother's apartment. They are there to dig up his father's empty coffin.

Can You Count to a Googol?

Robert E. Wells
Can You Count to a Googol Book PDF

Author : Robert E. Wells
Publisher : Albert Whitman & Company
Page : 37 pages
File Size : 52,8 Mb
Release : 2000-01-01
Category : Juvenile Nonfiction
ISBN : 9780807592663

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Can You Count to a Googol? by Robert E. Wells Pdf

2000 Gold Seal Award, Oppenheim Toy Portfolio A Best Book for Children 2001, Science Books & Film You may be able to count all the way to one hundred, but have you ever counted to a googol? It's impossible! In this fun book of numbers, Robert E. Wells explores the wonderful world of zeros and tells how the googol came to be named.

The Penguin Dictionary of Curious and Interesting Numbers

David Wells
The Penguin Dictionary of Curious and Interesting Numbers Book PDF

Author : David Wells
Publisher : Penguin UK
Page : 235 pages
File Size : 52,8 Mb
Release : 1997-09-04
Category : Mathematics
ISBN : 9780141929408

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The Penguin Dictionary of Curious and Interesting Numbers by David Wells Pdf

Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.

The Universe and the Teacup

K. C. Cole
The Universe and the Teacup Book PDF

Author : K. C. Cole
Publisher : HMH
Page : 227 pages
File Size : 51,5 Mb
Release : 1998-01-15
Category : Mathematics
ISBN : 9780547546148

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The Universe and the Teacup by K. C. Cole Pdf

From the acclaimed Los Angeles Times science writer, a wise, witty, and elegant study of how math provides practical solutions to everyday problems. Are the secrets of the universe written in words—or is it all about the digits? K.C. Cole follows up her paean to the power of physics, Sympathetic Vibrations, with this engaging and accessible guide to the might and majesty of mathematics. The Universe and the Teacup uses relatable examples, humorous prose, and whimsical line drawings to demonstrate math’s ability to “translate the complexity of the world into manageable patterns.” Cole shows how mathematical concepts illuminate everything from human risk-taking behavior to astronomical investigation, game theory to logic problems—not to mention the very structure of the universe itself. Brimming with trivia stressing the importance of math throughout history, this is a book both math nerds and the “innumerate” everyday person can enjoy in equal measure. “Cole writes clearly, simply and vividly,” noted The New York Times. “She so obviously likes mathematics, the reader can't help liking it too.” Filled with “a thousand fascinating facts and shrewd observations (Martin Gardner, Los Angeles Times), this book demonstrates how the truth and beauty of everything, from relativity to rainbows, is all in the numbers.

Thanks for the Feedback

Douglas Stone,Sheila Heen
Thanks for the Feedback Book PDF

Author : Douglas Stone,Sheila Heen
Publisher : Penguin
Page : 364 pages
File Size : 46,5 Mb
Release : 2014-03-04
Category : Business & Economics
ISBN : 9781101614273

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Thanks for the Feedback by Douglas Stone,Sheila Heen Pdf

The bestselling authors of the classic Difficult Conversations teach us how to turn evaluations, advice, criticisms, and coaching into productive listening and learning We swim in an ocean of feedback. Bosses, colleagues, customers—but also family, friends, and in-laws—they all have “suggestions” for our performance, parenting, or appearance. We know that feedback is essential for healthy relationships and professional development—but we dread it and often dismiss it. That’s because receiving feedback sits at the junction of two conflicting human desires. We do want to learn and grow. And we also want to be accepted just as we are right now. Thanks for the Feedback is the first book to address this tension head on. It explains why getting feedback is so crucial yet so challenging, and offers a powerful framework to help us take on life’s blizzard of off-hand comments, annual evaluations, and unsolicited advice with curiosity and grace. The business world spends billions of dollars and millions of hours each year teaching people how to give feedback more effectively. Stone and Heen argue that we’ve got it backwards and show us why the smart money is on educating receivers— in the workplace and in personal relationships as well. Coauthors of the international bestseller Difficult Conversations, Stone and Heen have spent the last ten years working with businesses, nonprofits, governments, and families to determine what helps us learn and what gets in our way. With humor and clarity, they blend the latest insights from neuroscience and psychology with practical, hard-headed advice. The book is destined to become a classic in the world of leadership, organizational behavior, and education.

G Is for Googol

David M. Schwartz
G Is for Googol Book PDF

Author : David M. Schwartz
Publisher : Tricycle Press
Page : 0 pages
File Size : 48,7 Mb
Release : 1998-09-01
Category : Juvenile Nonfiction
ISBN : 9781883672584

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G Is for Googol by David M. Schwartz Pdf

B is for Binary, F is for Fibonacci, P is for Probability... even a small sample begins to give you the idea that this is a math book unlike any other. Ranging freely from exponents to light-years to numbers found in nature, this smorgasbord of math concepts and trivia makes a perfect classroom companion or gift book for the budding young mathematician at home. Even the most reluctant math student will be drawn in by the author's trademark wit, Marissa Moss's quirky illustrations and funny captions, and the answers revealed in W is for " When are we ever gonna use this stuff, anyway?" Download the G is for Googol Teacher's Guide(300K)

The Simpsons and Their Mathematical Secrets

Simon Singh
The Simpsons and Their Mathematical Secrets Book PDF

Author : Simon Singh
Publisher : A&C Black
Page : 272 pages
File Size : 52,7 Mb
Release : 2013-10-29
Category : Performing Arts
ISBN : 9781408835319

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The Simpsons and Their Mathematical Secrets by Simon Singh Pdf

You may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realising that they contain enough maths to form an entire university course. In The Simpsons and Their Mathematical Secrets, Simon Singh explains how the brilliant writers, some of the mathematicians, have smuggled in mathematical jokes throughout the cartoon's twenty-five year history, exploring everything from to Mersenne primes, from Euler's equation to the unsolved riddle of P vs. NP, from perfect numbers to narcissistic numbers, and much more. With wit, clarity and a true fan's zeal, Singh analyses such memorable episodes as 'Bart the Genius' and 'Homer3' to offer an entirely new insight into the most successful show in television history.

Mind Tools

Rudy Rucker
Mind Tools Book PDF

Author : Rudy Rucker
Publisher : Courier Corporation
Page : 336 pages
File Size : 49,7 Mb
Release : 2013-11-12
Category : Mathematics
ISBN : 9780486782195

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Mind Tools by Rudy Rucker Pdf

From mathematics and computers to insights into the workings of the human mind, this popular mathematics book reflects the intelligence gathered from the frontiers of mathematical thought. Illuminated by more than 100 drawings. 1987 edition.

The Biggest Number in the World

David Darling,Agnijo Banerjee
The Biggest Number in the World Book PDF

Author : David Darling,Agnijo Banerjee
Publisher : Simon and Schuster
Page : 257 pages
File Size : 42,7 Mb
Release : 2022-05-05
Category : Mathematics
ISBN : 9780861543069

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The Biggest Number in the World by David Darling,Agnijo Banerjee Pdf

From cells in our bodies to measuring the universe, big numbers are everywhere We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can’t be such a thing as a ‘biggest number’. Or can there? To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers to questions like: are there more grains of sand on Earth or stars in the universe? Is there enough paper on Earth to write out the digits of a googolplex? And what is a googolplex? Then things get serious. Enter the strange realm between the finite and the infinite, and float through a universe where the rules we cling to no longer apply. Encounter the highest number computable and infinite kinds of infinity. At every turn, a cast of wild and wonderful characters threatens the status quo with their ideas, and each time the numbers get larger.