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 Poincaré 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...
Opening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart's Hoard of Mathematical Treasures. With wit and aplomb, Stewart mingles casual puzzles with grander forays into ancient and modern mathematical thought. Amongst a host of arcane and astonishing facts about every kind of number from irrational and imaginary to complex and cuneiform, we learn: How to organize chaos How matter balances anti-matter How to turn a sphere inside out (without creasing it) How to calculate pi by observing the stars . . . and why you can't comb a hairy ball. Along the way Stewart offers the reader tantalizing glimpses of the mathematics underlying life and the universe. Mind-stretching, enlightening, and endlessly amusing, Professor Stewart's Hoard of Mathematical Treasures will stimulate, delight, and enthrall.
Acclaimed writer and mathematician Ian Stewart's third miscellany of mathematical curios and conundrums. In Professor Stewart's Casebook of Mathematical Mysteries, acclaimed mathematician Ian Stewart presents an enticing collection of mathematical curios and conundrums. With a new puzzle on each page, this compendium of brainteasers will both teach and delight. Guided by stalwart detective Hemlock Soames and his sidekick, Dr. John Watsup, readers will delve into almost two hundred mathematical problems, puzzles, and facts. Tackling subjects from mathematical dates (such as Pi Day), what we don't know about primes, and why the Earth is round, this clever, mind-expanding book demonstrates the power and fun inherent in mathematics.
A retitled and revised edition of Ian Stewart's The Problem of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wile's amazing proof of Fermat's Last Theorem, the newest advances in knot theory, the Four Colour Theorem, Chaos Theory, and fake four-dimensial spaces. See how simple concepts from probability theory shed light on the National Lottery and tell you how to maximize your winnings. Discover howinfinitesimals become respectable, why there are different kinds of infinity, and how to square the circle with the mathematical equivalent of a pair of scissors.
Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world -- and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world -- and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.
Don’t poke your nose down a wormhole – you never know what you might find. Two universes joined by a wormhole pair that forms a ‘loophole’, with an icemoon orbiting through the loophole, shared between two different planetary systems in the two universes. A civilisation with uploaded minds in virtual reality served by artificial humans. A ravening Horde of replicating machines that kill stars. Real humans from a decrepit system of colony worlds. A race of hyperintelligent but somewhat vague aliens. Who will close the loophole… who will exploit it? “When universes collide … A multicosmos at war in a scenario of staggering, but scientifically authentic, invention … As if the Marvel multiverse collided with 2001: A Space Odyssey … I am awed, and I don’t awe easily. The highest of high-concept SF.” – Stephen Baxter, award-winning author of the Xeelee sequence, Time Slip and many others. “There’s Hard SF. There’s Wide-Screen Baroque. Now with Ian Stewart’s Loophole we have Wrap-Around Rococo. Daringly inventive, Loophole is a mind-fryingly, Möbius-twistingly intense SF adventure of the first order.” – Henry Gee, Senior Editor at Nature, and author of A (Very) Short History of Life on Earth. Cover design: David A. Hardy
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 Poincaré 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.
See the world in a completely new way as an esteemed mathematician shows how math powers the world—from technology to health care and beyond. Almost all of us have sat in a math class, wondering when we'd ever need to know how to find the roots of a polynomial or graph imaginary numbers. And in one sense, we were right: if we needed to, we'd use a computer. But as Ian Stewart argues in What's the Use?, math isn't just about boring computations. Rather, it offers us new and profound insights into our world, allowing us to accomplish feats as significant as space exploration and organ donation. From the trigonometry that keeps a satellite in orbit to the prime numbers used by the world's most advanced security systems to the imaginary numbers that enable augmented reality, math isn't just relevant to our lives. It is the very fabric of our existence.
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.
Welcome to Ian Stewart's strange and magical world of mathematics! In Math Hysteria, Professor Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale: Counting the Cattle of the Sun; The Great Drain Robbery; and Preposterous Piratical Predicaments; to name but a few. Along the way, we also meet many curious characters: in short, these stories are engaging, challenging, and lots of fun!
It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals. In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. Yet mathematics education has changed considerably since 1973, when theory took precedence over examples, and the time has come to bring this presentation in line with more modern approaches. To this end, the story now begins with polynomials over the complex numbers, and the central quest is to understand when such polynomials have solutions that can be expressed by radicals. Reorganization of the material places the concrete before the abstract, thus motivating the general theory, but the substance of the book remains the same.
Flatland is a unique, delightful satire that has charmed readers for over a century. Published in 1884 by the English clergyman and headmaster Edwin A. Abbott, it is the fanciful tale of A. Square, a two-dimensional being who is whisked away by a mysterious visitor to The Land of Three Dimensions, an experience that forever alters his worldview. Like the original, Ian Stewart's commentary takes readers on a strange and wonderful journey. With clarity and wit, Stewart illuminates Abbott's numerous Victorian references and touches on such diverse topics as ancient Babylon, Karl Marx, Mary Shelley's Frankenstein, Mt. Everest, H.G. Wells, and phrenology. The Annotated Flatland makes fascinating connections between Flatland and Abbott's era, resulting in a classic to rival Abbott's own, and a book that will inspire and delight curious readers for generations to come.
From the mathematics of mazes, to cones with a twist, and the amazing sphericon - and how to make one - Ian Stewart is back with more mathematical stories and puzzles that are as quirky as they are fascinating, and each from the cutting edge of the world of mathematics. We find out about the mathematics of time travel, explore the shape of teardrops (which are not tear-drop shaped, but something much, much more strange!), dance with dodecahedra, and play the game of Hex, amongst many more strange and delightful mathematical diversions.
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 Poincaré 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. If you loved Professor Dt
Malaysia is at a political and economic crossroad, and the direction it takes is of vital importance to the whole Southeast Asian region. This important book is the first comprehensive analysis of contemporary Malaysia and the struggle for its political and economic leadership.
At the heart of relativity theory, quantum mechanics, string theory, and much of modern cosmology lies one concept: symmetry. In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered "Lie groups" with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the "octonionic" symmetries that may explain the very existence of the universe.
SAGE celebrated the 20th Anniversary of the Counselling in Action in November 2008. To view the video - click here ----------------------------------------------------- Praise for the First Edition: `Ian Stewart has made the difficult link between theory and practice clear without being patronizing. This is valuable for everyone interested in TA since many concepts can only be fully assimilated when linked to actual examples. Even if you are not in clinical practice, this book would be a useful addition to your library and, for anyone in training or beginning practice, this is required reading' - Group Relations Transactional Analysis Counselling in Action, Third Edition meets a demand for a clearly-written step-by-step account of the process and practice of using transactional analysis to promote personal change. --------------------------------------------------------- This book retains the successful overall structure and organisation of the popular earlier editions, but has been fully revised. Key features of this new edition include: " concise, "hands-on" descriptions of current techniques and concepts in transactional analysis, presented in an accessible style that is immediately useful to the practitioner " the sequence of chapters ordered to reflect successive stages in the typical process of therapeutic change using transactional analysis. This assists in building understanding and application of transactional analysis step by step, in the order that is likely to arise during actual psychotherapy or counselling " expanded discussion of the protective procedure known as "closing the escape hatches" (no-suicide, no-homicide, no-go-crazy decision), including possible contra-indications " a single extended case history that runs through the book to illustrate practice and theory " "Key Ideas" panels which provide summaries of the main ideas that are described in each section or chapter " "Self-supervision sequences" offering suggested checklists of questions that readers can use in appraising their own work with clients. In this revised Third Edition of his bestselling guide, Ian Stewart offers trainee and practising psychotherapists and counsellors an introduction to the core concepts and basic techniques of transactional analysis. Ian Stewart is Co-Director of The Berne Institute, Nottingham. He is accredited by the ITAA and the EATA as a Teaching and Supervising Transactional Analyst.
The first scientific entry in the acclaimed Art of Mentoring series from Basic Books, Letters to a Young Mathematician tells readers what Ian Stewart wishes he had known when he was a student and young faculty member. Subjects ranging from the philosophical to the practical -- what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others -- are dealt with in Stewart's much-admired style, which combines subtle, easygoing humor with a talent for cutting to the heart of the matter. In the tradition of G.H. Hardy's classic A Mathematician's Apology, this book is sure to be a perennial favorite with students at all levels, as well as with other readers who are curious about the frequently incomprehensible world of mathematics.
The fantastic first book in the Sunday Times bestselling Science of Discworld series When a wizardly experiment goes adrift, the wizards of Unseen University find themselves with a pocket universe on their hands: Roundworld, where neither magic nor common sense seems to stand a chance against logic. The Universe, of course, is our own. And Roundworld is Earth. As the wizards watch their accidental creation grow, we follow the story of our universe from the primal singularity of the Big Bang to the internet and beyond. Through this original Terry Pratchett story (with intervening chapters from Cohen and Stewart) we discover how puny and insignificant individual lives are against a cosmic backdrop of creation and disaster. Yet, paradoxically, we see how the richness of a universe based on rules, has led to a complex world and at least one species that tried to get a grip of what was going on. Terry Pratchett is the acclaimed creator of the global bestselling Discworld series, the first of which, The Colour of Magic, was published in 1983. Raising Steam is his fortieth Discworld novel. His books have been widely adapted for stage and screen, and he is the winner of multiple prizes, including the Carnegie Medal, as well as being awarded a knighthood for services to literature. After falling out with his keyboard he now talks to his computer. Occasionally, these days, it answers back. www.terrypratchett.co.uk @terryandrob Professor Ian Stewart is the author of many popular science books. He is the mathematics consultant for New Scientist and a Professor of Mathematics at the University of Warwick. He was awarded the Michael Faraday Prize for furthering the public understanding of science, and in 2001 became a Fellow of the Royal Society. Dr Jack Cohen is an internationally-known reproductive biologist, and lives in Newent, Gloucestershire. Jack has a laboratory in his kitchen, helps couples get pregnant by referring them to colleagues, invents biologically realistic aliens for science fiction writers and, in his spare time, throws boomerangs. Jack, who has more letters to his name than can be repeated here, writes, lectures, talks and campaigns to promote public awareness of science, particularly biology. He is mostly retired.
The self plays an integral role in human motivation, cognition, and social identity. A Contextual Behavioral Guide to the Self translates this difficult—yet essential—therapeutic process into easy-to-apply steps and user-friendly language. For many clients, it's incredibly difficult to shed preconceived notions of “who they really are,” and negative perceptions of the self can lead to feelings of low self-worth that stand in the way of treatment. Furthermore, every client who partakes in acceptance and commitment therapy (ACT) must identify a self as part of their treatment, and clinicians often report that observing the self, or “self as context,” is the most difficult of all six core ACT processes. Problems with the self arise when clients orient themselves in the world and learn to relate to others, but these problems can vary considerably. For example, some clients may have deficits in developing a strong sense of self in the first place—particularly if they are diagnosed with autism spectrum conditions (ASC). Depressed clients or those with borderline personality disorder (BPD) may develop a skewed, negative sense of self, and those with narcissistic personality disorder (NPD) may develop an inflated sense of self. With this unique road map, you will learn to apply the complex theory of the self into everyday practice, and help all clients develop empathy, compassion, and flexible perspective taking—leading to better treatment outcomes and better lives for clients.
Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy.
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.
Valuing is central to acceptance and commitment therapy (ACT), yet few therapists truly understand how to engage clients in this complex process. Questions such as What is the purpose of my life? and How do I make decisions? are difficult to answer honestly for ourselves, let alone share with another person. The Art and Science of Valuing in Psychotherapy is the mental health practitioner's complete guide to helping clients identify their values and apply them to their lives in practical ways. You will also learn to establish your own values as a professional, which may shift from client to client, and act in accordance with these values in therapy. The book provides you with practical tools for conducting values work, including easy-to-understand metaphors, defusion exercises, guided imagery exercises, scripts for role play, client worksheets, assessment quizzes, and more. Once you've mastered the art and science of valuing, you'll find out just how broad the applications for values work can be for conceptualization and interventions in the workplace, in organizations, and on the community level, and discover how effective values work can be for tapping into your clients' capacity for change. [The Art and Science of Valuing in Psychotherapy] will illuminate how a focus on values can inform every aspect of psychotherapy, from case conceptualization to the therapeutic relationship. At once accessible and profound... highly recommended. -Steven C. Hayes, Ph.D., University of Nevada Foundation Professor of Psychology at the University of Nevada, Reno
The revised and updated edition includes three completely new chapters on the prediction and control of chaotic systems. It also incorporates new information regarding the solar system and an account of complexity theory. This witty, lucid and engaging book makes the complex mathematics of chaos accessible and entertaining. Presents complex mathematics in an accessible style. Includes three new chapters on prediction in chaotic systems, control of chaotic systems, and on the concept of chaos. Provides a discussion of complexity theory.
The programming language C occupies an unusual position midway between conventional high-level and assembly languages, allowing the programmer to combine the best features of both. This book is an introduction to the language itself, and to the special style of thinking that goes with it. Anyone wishing to learn C is likely to have some experience in a high-level language such as BASIC or Pascal, and it seems sensible to make use of that experience. We therefore assume some facility with conventional notation for computer arith metic, and simple notions (such as looping and branching) common to most high-level languages. However, that cannot be the whole story. One cannot learn to speak colloquial French by thinking in English and performing a routine translation. No more can one learn to program in colloquial C by thinking in BASIC and performing a routine translation. However, when learning French it is normal to assume familiarity with English, building on that in the early stages, thereby creating the confidence necessary to provide that mot juste to which nothing corresponding exists in English. Our approach to C is similar. In particular we do not introduce at the very beginning some of the features of C which eventually lead to more efficient and elegant code-for example, the ability to do several things, apparently at once. Initially, such constructs can be confusing. Once the reader has acquired some facility with the language it then becomes possible to bring these features into play in a natural manner.
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