Taming the Infinite

Taming the Infinite PDF Author: Ian Stewart
Publisher: Quercus
ISBN: 1623654734
Category : Mathematics
Languages : en
Pages : 449

Book Description
From ancient Babylon to the last great unsolved problems, Ian Stewart brings us his definitive history of mathematics. In his famous straightforward style, Professor Stewart explains each major development--from the first number systems to chaos theory--and considers how each affected society and changed everyday life forever. Maintaining a personal touch, he introduces all of the outstanding mathematicians of history, from the key Babylonians, Greeks and Egyptians, via Newton and Descartes, to Fermat, Babbage and Godel, and demystifies math's key concepts without recourse to complicated formulae. Written to provide a captivating historic narrative for the non-mathematician, Taming the Infinite is packed with fascinating nuggets and quirky asides, and contains 100 illustrations and diagrams to illuminate and aid understanding of a subject many dread, but which has made our world what it is today.

Eight Lessons on Infinity

Eight Lessons on Infinity PDF Author: Haim Shapira
Publisher: Watkins
ISBN: 1786782340
Category : Mathematics
Languages : en
Pages : 256

Book Description
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!

Thinking Shakespeare (Revised Edition)

Thinking Shakespeare (Revised Edition) PDF Author: Barry Edelstein
Publisher: Theatre Communications Group
ISBN: 155936890X
Category : Performing Arts
Languages : en
Pages : 231

Book Description
Thinking Shakespeare gives theater artists practical advice about how to make Shakespeare’s words feel spontaneous, passionate, and real. Based on Barry Edelstein’s thirty-year career directing Shakespeare’s plays, this book provides the tools that artists need to fully understand and express the power of Shakespeare’s language.

The Story of Mathematics

The Story of Mathematics PDF Author: Ian Stewart
Publisher:
ISBN: 9781848660687
Category : Mathematicians
Languages : en
Pages : 287

Book Description
This visually stunning volume takes the reader on an illustrated tour of mathematics across cultures and civilizations, bringing to life a world of important ideas and-rarely supposed-great intrigue and charm

Beyond Infinity

Beyond Infinity PDF Author: Eugenia Cheng
Publisher: Profile Books
ISBN: 1782830812
Category : Mathematics
Languages : en
Pages : 191

Book Description
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.

Flatterland

Flatterland PDF Author: Ian Stewart
Publisher: ReadHowYouWant.com
ISBN: 1458716546
Category : Fiction
Languages : en
Pages : 466

Book Description
First there was Edwin A. Abbott's remarkable Flatland, published in 1884, and one of the all-time classics of popular mathematics. Now, from mathematician and accomplished science writer Ian Stewart, comes what Nature calls "a superb sequel." Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who tempts her away from her home and family in Flatland and becomes her guide and mentor through ten dimensions. In the tradition of Alice in Wonderland and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.

Infinite Powers

Infinite Powers PDF Author: Steven Strogatz
Publisher: Mariner Books
ISBN: 1328879984
Category : Biography & Autobiography
Languages : en
Pages : 389

Book Description
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.

Everything and More: A Compact History of Infinity

Everything and More: A Compact History of Infinity PDF Author: David Foster Wallace
Publisher: W. W. Norton & Company
ISBN: 0393339289
Category : Mathematics
Languages : en
Pages : 352

Book Description
The period from the 5th to the 7th century AD was characterised by far-reaching structural changes that affected the entire west of the Roman Empire. This process used to be regarded by scholars aspart of the dissolution of Roman order, but in current discussions it is nowexamined more critically. The contributions to this volume of conference papers combine approaches from history and literature studies in order to review the changing forms and fields of the establishment of collective identities, and to analyse them in their mutual relationships.

Telecosm

Telecosm PDF Author: George Gilder
Publisher: Simon and Schuster
ISBN: 074321594X
Category : Business & Economics
Languages : en
Pages : 360

Book Description
The computer age is over. After a cataclysmic global run of thirty years, it has given birth to the age of the telecosm -- the world enabled and defined by new communications technology. Chips and software will continue to make great contributions to our lives, but the action is elsewhere. To seek the key to great wealth and to understand the bewildering ways that high tech is restructuring our lives, look not to chip speed but to communication power, or bandwidth. Bandwidth is exploding, and its abundance is the most important social and economic fact of our time. George Gilder is one of the great technological visionaries, and "the man who put the 's' in 'telecosm'" (Telephony magazine). He is equally famous for understanding and predicting the nuts and bolts of complex technologies, and for putting it all together in a soaring view of why things change, and what it means for our daily lives. His track record of futurist predictions is one of the best, often proving to be right even when initially opposed by mighty corporations and governments. He foresaw the power of fiber and wireless optics, the decline of the telephone regime, and the explosion of handheld computers, among many trends. His list of favored companies outpaced even the soaring Nasdaq in 1999 by more than double. His long-awaited Telecosm is a bible of the new age of communications. Equal parts science story, business history, social analysis, and prediction, it is the one book you need to make sense of the titanic changes underway in our lives. Whether you surf the net constantly or not at all, whether you live on your cell phone or hate it for its invasion of private life, you need this book. It has been less than two decades since the introduction of the IBM personal computer, and yet the enormous changes wrought in our lives by the computer will pale beside the changes of the telecosm. Gilder explains why computers will "empty out," with their components migrating to the net; why hundreds of low-flying satellites will enable hand-held computers and communicators to become ubiquitous; why television will die; why newspapers and magazines will revive; why advertising will become less obnoxious; and why companies will never be able to waste your time again. Along the way you will meet the movers and shakers who have made the telecosm possible. From Charles Townes and Gordon Gould, who invented the laser, to the story of JDS Uniphase, "the Intel of the Telecosm," to the birthing of fiberless optics pioneer TeraBeam, here are the inventors and entrepreneurs who will be hailed as the next Edison or Gates. From hardware to software to chips to storage, here are the technologies that will soon be as basic as the air we breathe.

Making up Numbers: A History of Invention in Mathematics

Making up Numbers: A History of Invention in Mathematics PDF Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 280

Book Description
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.
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