Here S Looking At Euclid

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Here's Looking at Euclid

Alex Bellos
Here s Looking at Euclid Book PDF

Author : Alex Bellos
Publisher : Free Press
Page : 0 pages
File Size : 46,6 Mb
Release : 2011-04-19
Category : Mathematics
ISBN : 1416588280

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Here's Looking at Euclid by Alex Bellos Pdf

Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct—including the revelation that ants can actually count how many steps they’ve taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games. Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. Here’s Looking at Euclid is a rare gem that brings the beauty of math to life.

Alex's Adventures in Numberland

Alex Bellos
Alex s Adventures in Numberland Book PDF

Author : Alex Bellos
Publisher : A&C Black
Page : 449 pages
File Size : 42,5 Mb
Release : 2010-04-05
Category : Mathematics
ISBN : 9781408811146

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Alex's Adventures in Numberland by Alex Bellos Pdf

A tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize 'Original and highly entertaining' Sunday Times 'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist 'Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.

The Grapes of Math

Alex Bellos
The Grapes of Math Book PDF

Author : Alex Bellos
Publisher : Simon and Schuster
Page : 352 pages
File Size : 44,9 Mb
Release : 2014-06-10
Category : Mathematics
ISBN : 9781451640120

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The Grapes of Math by Alex Bellos Pdf

From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

Euclid's Elements (the Thirteen Books)

Euclid
Euclid s Elements the Thirteen Books Book PDF

Author : Euclid
Publisher : Unknown
Page : 404 pages
File Size : 55,9 Mb
Release : 2017-12-17
Category : Mathematics
ISBN : 1420956477

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Euclid's Elements (the Thirteen Books) by Euclid Pdf

Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.

Euclid's Elements

A. C. McKay,R. A. Thompson
Euclid s Elements Book PDF

Author : A. C. McKay,R. A. Thompson
Publisher : Wentworth Press
Page : 252 pages
File Size : 40,8 Mb
Release : 2016-08-26
Category : History
ISBN : 1362401757

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Euclid's Elements by A. C. McKay,R. A. Thompson Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Euclid—The Creation of Mathematics

Benno Artmann
Euclid The Creation of Mathematics Book PDF

Author : Benno Artmann
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214120

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Euclid—The Creation of Mathematics by Benno Artmann Pdf

Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

The King of Infinite Space

David Berlinski
The King of Infinite Space Book PDF

Author : David Berlinski
Publisher : Basic Books
Page : 176 pages
File Size : 42,8 Mb
Release : 2014-04-08
Category : Mathematics
ISBN : 9780465038633

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The King of Infinite Space by David Berlinski Pdf

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.

Patterns of the Universe

Alex Bellos,Edmund Harriss
Patterns of the Universe Book PDF

Author : Alex Bellos,Edmund Harriss
Publisher : The Experiment
Page : 148 pages
File Size : 46,7 Mb
Release : 2015-12-01
Category : Games & Activities
ISBN : 9781615193233

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Patterns of the Universe by Alex Bellos,Edmund Harriss Pdf

"A coloring book that reveals math's hidden beauty and contemplative power as never before with 78 coloring designs and games that explore symmetry, fractals, tessellations, randomness, and more."--

Euclid in the Rainforest

Joseph Mazur
Euclid in the Rainforest Book PDF

Author : Joseph Mazur
Publisher : Penguin
Page : 352 pages
File Size : 43,8 Mb
Release : 2006-07-25
Category : Mathematics
ISBN : 9781101664872

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Euclid in the Rainforest by Joseph Mazur Pdf

Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

Euclid's Window

Leonard Mlodinow
Euclid s Window Book PDF

Author : Leonard Mlodinow
Publisher : Simon and Schuster
Page : 326 pages
File Size : 43,6 Mb
Release : 2010-09-28
Category : Science
ISBN : 9781439135372

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Euclid's Window by Leonard Mlodinow Pdf

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

Can You Solve My Problems?

Alex Bellos
Can You Solve My Problems Book PDF

Author : Alex Bellos
Publisher : Guardian Faber Publishing
Page : 0 pages
File Size : 51,8 Mb
Release : 2016
Category : Mathematical recreations
ISBN : 1783351144

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Can You Solve My Problems? by Alex Bellos Pdf

A high-class puzzle book from the bestselling author of Alex's Adventures in Numberland; organised from easy-peasy to ninja level - with stories of puzzle mysteries, histories and scandals along the way this book will make your hippocampus happy.

Perilous Problems for Puzzle Lovers: Math, Logic & Word Puzzles to Challenge Your Brain (Alex Bellos Puzzle Books)

Alex Bellos
Perilous Problems for Puzzle Lovers Math Logic Word Puzzles to Challenge Your Brain Alex Bellos Puzzle Books Book PDF

Author : Alex Bellos
Publisher : The Experiment, LLC
Page : 389 pages
File Size : 50,9 Mb
Release : 2020-10-27
Category : Games & Activities
ISBN : 9781615197194

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Perilous Problems for Puzzle Lovers: Math, Logic & Word Puzzles to Challenge Your Brain (Alex Bellos Puzzle Books) by Alex Bellos Pdf

Put your wits—and survival instincts—to the test! Publisher’s Note: Perilous Problems for Puzzle Lovers was previously published in the UK under the title So You Think You’ve Got Problems? In Perilous Problems for Puzzle Lovers, Alex Bellos collects 125 of the world’s greatest stumpers—many dangerous to your person, and all dangerous to your pride. Brace yourself to wrestle with wordplay, grapple with geometry, and scramble for survival. For example . . . Ten lions and a sheep are in a pen. Any lion who eats the sheep will fall asleep. A sleeping lion will be eaten by another lion, who falls asleep in turn. If the lions are all perfect logicians, what happens? Bellos pairs his fiendish brainteasers with fascinating history, so you’ll meet Alcuin, Sam Loyd, and other puzzle masters of yore—in between deranged despots and wily jailers with an unaccountable taste for riddles. Will you make it out alive? And what about the sheep?

An Illustrated Theory of Numbers

Martin H. Weissman
An Illustrated Theory of Numbers Book PDF

Author : Martin H. Weissman
Publisher : American Mathematical Soc.
Page : 341 pages
File Size : 55,6 Mb
Release : 2020-09-15
Category : Education
ISBN : 9781470463717

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An Illustrated Theory of Numbers by Martin H. Weissman Pdf

News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

Encounters with Euclid

Benjamin Wardhaugh
Encounters with Euclid Book PDF

Author : Benjamin Wardhaugh
Publisher : Princeton University Press
Page : 416 pages
File Size : 40,9 Mb
Release : 2023-11-14
Category : Mathematics
ISBN : 9780691235769

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Encounters with Euclid by Benjamin Wardhaugh Pdf

A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

Euclid

Shoo Rayner
Euclid Book PDF

Author : Shoo Rayner
Publisher : Unknown
Page : 54 pages
File Size : 48,5 Mb
Release : 2017-11-02
Category : Juvenile Nonfiction
ISBN : 1908944366

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Euclid by Shoo Rayner Pdf

Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.