Professor Stewart's Cabinet of Mathematical Curiosities

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1847651283

Category: Mathematics

Page: 320

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School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincar Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...
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Professor Stewart's Casebook of Mathematical Mysteries

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1847654320

Category: Mathematics

Page: 559

View: 3151

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Like its wildly popular predecessors Cabinet of Mathematical Curiosities and Hoard of Mathematical Treasures, Professor Stewart's brand-new book is a miscellany of over 150 mathematical curios and conundrums, packed with trademark humour and numerous illustrations.In addition to the fascinating formulae and thrilling theorems familiar to Professor Stewart's fans, the Casebook follows the adventures of the not-so-great detective Hemlock Soames and his sidekick Dr John Watsup (immortalised in the phrase 'Watsup, Doc?'). By a remarkable coincidence they live at 222B Baker Street, just across the road from their more illustrious neighbour who, for reasons known only to Dr Watsup, is never mentioned by name. A typical item is 'The Case of the Face-Down Aces', a mathematical magic trick of quite devilish cunning... Ranging from one-liners to four-page investigations from the frontiers of mathematical research, the Casebook reveals Professor Stewart at his challenging and entertaining best.
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Professor Stewart's Hoard of Mathematical Treasures

Author: Ian Stewart

Publisher: Profile Books

ISBN: 184765262X

Category: Mathematics

Page: 339

View: 6549

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Ian Stewart, author of the bestselling Professor Stewart's Cabinet of Mathematical Curiosities, presents a new and magical mix of games, puzzles, paradoxes, brainteasers, and riddles. He mingles these with forays into ancient and modern mathematical thought, appallingly hilarious mathematical jokes, and enquiries into the great mathematical challenges of the present and past. Amongst a host of arcane and astonishing facts about every kind of number from irrational or imaginary to complex or cuneiform, we find out: how to organise chaos; how matter balances anti-matter; how to turn a sphere inside out (without creasing it...); why you can't comb a hairy ball; how to calculate pi by observing the stars. And we get some tantalising glimpses of the maths of life and the universe.Mind-stretching, enlightening and endlessly amusing, Professor Stewart's new entertainment will stimulate, delight, and enthral.
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The Best Writing on Mathematics 2013

Author: Mircea Pitici

Publisher: Princeton University Press

ISBN: 1400847990

Category: Mathematics

Page: 272

View: 6318

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This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2013 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.
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Professor Stewart's Incredible Numbers

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1782831584

Category: Mathematics

Page: 456

View: 9607

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Ian Stewart explores the astonishing properties of numbers from 1 to 10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of -- real, imaginary, rational, irrational, positive and negative -- along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes, Sudoku, Rubik's Cube, music, primes and pi. You may be surprised to find you live in eleven-dimensional space, that of the twenty-three people on a football pitch two are more likely than not to share the same birthday, and that forty-two is a very interesting number. Professor Stewart's Incredible Numbers will delight everyone who loves numbers -- including those who currently think they don't.
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Mathematics Of Life

Unlocking the Secrets of Existence

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1847653502

Category: Mathematics

Page: 335

View: 8247

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A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.
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Seventeen Equations that Changed the World

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1847657699

Category: Mathematics

Page: 342

View: 9609

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From Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere -- and they are fundamental to everyday life.Seventeen Equations that Changed the World examines seventeen ground-breaking equations that have altered the course of human history. He explores how Pythagoras's Theorem led to GPS and Satnav; how logarithms are applied in architecture; why imaginary numbers were important in the development of the digital camera, and what is really going on with Schrdinger's cat. Entertaining, surprising and vastly informative, Seventeen Equations that Changed the World is a highly original exploration -- and explanation -- of life on earth.
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The Foundations of Mathematics

Author: Ian Stewart,David Orme Tall

Publisher: Oxford University Press

ISBN: 0198706448

Category: Logic, Symbolic and mathematical

Page: 391

View: 2017

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The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
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The Great Mathematical Problems

Author: Ian Stewart

Publisher: Profile Books

ISBN: 1847653510

Category: Mathematics

Page: 340

View: 4325

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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 Poincar 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.
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A Cabinet of Philosophical Curiosities

A Collection of Puzzles, Oddities, Riddles, and Dilemmas

Author: Roy Sorensen

Publisher: Oxford University Press

ISBN: 0190468637

Category: Philosophy

Page: N.A

View: 8197

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Will you answer this question in the same way that you will answer my next question? Done? Good! Will you buy this book?. Inside you will discover that your only truthful answer to this second question is affirmative. Logic has made some men rich. Inside this book you will learn of John Eck (who debated Luther in 1519). He Will you answer this question in the same way that you will answer my next question? Done? Good! Will you buy this book? Inside you will discover that your only truthful answer to this second question is affirmative. A Cabinet of Philosophical Curiosities is a colorful collection of puzzles and paradoxes, both historical and contemporary, by philosopher Roy Sorensen. Taking inspiration from Ian Stewart's Professor Stewart's Cabinet of Mathematical Curiosities, which assembled interesting "maths" from outside the classroom into a miscellany of marvels, these puzzles are ready to be enjoyed independently but gain mutual support when read in clusters. The volume ranges from simple examples to anomalous anomalies, considers data that seems to confirm a generalization while lowering its probability, and argues that we are doomed to believe infinitely many contradictions-and that the pain of contradictions can be profoundly stimulating.Inside this book you will learn of John Eck, who debated Luther in 1519. He devised a sequence of contracts that sidestepped usury laws, and German bankers made a fortune from this Triple Contract. Sorensen also recounts how Voltaire set himself up for life by exploiting a fallacy in the construction of a Parisian lottery. There is logic for altruists, too. You will discover how General Benjamin Butler used other-centric reasoning to protect runaway slaves. There are historical snapshots of logic in action, and the book contains tributes to Lewis Carroll, Arthur Prior, and Peter Geach. In addition to short essays, there are dialogues, cures and insults.
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