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› Find signed collectible books: 'Algebraic number theory'
Contents: Preface. Reader's Guide. Index of Notation. The Origins of Algebraic Number Theory. Part I: Numbers. Quadratic and Cyclotomic Fields. Geometric Methods. Lattices. Minkowski's Theorem. Part II: Geometric Representation of Algebraic Numbers. Class-Group and Class-Number. Part III: Number-Theoretic Applications. Computational Methods. Fermat's Last Theorem. Dirichlet's Units Theorem. Appendix. Quadratic Residues. References. Index.
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› Find signed collectible books: 'Ambushed: A Reporter's Life on the Line'
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› Find signed collectible books: 'The Art of C Programming'
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› Find signed collectible books: 'Art of Lisp Programming'
Many of us already have at least a passing acquaintance with procedural languages such as BASIC or Pascal, but may not have met a functional language like Lisp before. Using the same enjoyable and sometimes quirky style that they employed so successfully in "The Art of C-Programming", Robin Jones and his team explain the fundamentals of Lisp in a way that students from school to postgraduates will find lucid and stimulating. The book is unique in illustrating the use of Lisp through the development of a realistic project: the design and implementation of a Lisp-based interpreter for the language ABC.
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› Find signed collectible books: 'Catastrophe Theory and Its Applications'
First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
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› Find signed collectible books: 'Catastrophe: Theory and Its Applications (Surveys and Reference Works in Mathematics, 2)'
First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
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› Find signed collectible books: 'The Collapse of Chaos: Discovering Simplicity in a Complex World (Penguin Press Science)'
Science's traditional answers to the question: "How does complexity arise in nature?" are given at the beginning of this book. It shows how intelligence and human culture can be traced back to atomic structure, reducing the whole of nature to simple laws of fundamental physics. However, the book then proceeds to show that "How does complexity arise?" is really the wrong question. It proposes that a more interesting question is "Why do simple structures exist at all?". Scientific reductionism is useful but does not give the whole truth: it tells how but not why; it looks at insides but not outsides, content but not context. The subject-matter of traditional science is re-examined from a different viewpoint, focusing on the ability of complicated rules to generate simple behaviour, through the "collapse of chaos".
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› Find signed collectible books: 'Concepts of Modern Mathematics (Pelican)'
Some years ago, "new math" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of "new math" have been eliminated and its positive elements assimilated into classroom instruction.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.
By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.
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› Find signed collectible books: 'Cows in the Maze: And Other Mathematical Explorations'
Following on the success of his books Math Hysteria and How to Cut a Cake, Ian Stewart is back with more stories and puzzles that are as quirky as they are fascinating, and each from the cutting edge of the world of mathematics.
From the math of mazes, to cones with a twist, and the amazing sphericon--and how to make one--Cows in the Maze takes readers on an exhilarating tour 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, among many more strange and delightful mathematical diversions. In the title essay, Stewart introduces readers to Robert Abbott's mind-bending "Where Are the Cows?" maze, which changes every time you pass through it, and is said to be the most difficult maze ever invented. In addition, he shows how a 90-year old woman and a computer scientist cracked a long-standing question about counting magic squares, describes the mathematical patterns in animal movement (walk, trot, gallop), looks at a fusion of art, mathematics, and the physics of sand piles, and reveals how mathematicians can--and do--prove a negative.
Populated by amazing creatures, strange characters, and astonishing mathematics explained in an accessible and fun way, and illustrated with quirky cartoons by artist Spike Gerrell, Cows in the Maze will delight everyone who loves mathematics, puzzles and mathematical conundrums.
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› Find signed collectible books: 'Does God Play Dice?: The New Mathematics of Chaos Paperback 2nd Ed (Penguin Mathematics)'
We'd better get used to chaos because it certainly isn't going anywhere. Mathematician Ian Stewart--who is also a very talented writer--shares his insights into the history and nature of the highly complex in Does God Play Dice: The New Mathematics of Chaos. While his delightful phrasings will draw in nearly every reader, those with a strong aversion to figures and formulae should understand that it will be slow going. Chaos math suffuses everything from dreaming to the motion of the planets, and Stewart's words can never match the precision of his numbers. Persistence pays off, though; there are so many "aha" moments of insight herein that it almost qualifies as a religious text. The second edition has been partially revised in the wake of 1990s research, and three exciting new chapters report on prediction and other applications of chaos mathematics. --Rob Lightner
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› Find signed collectible books: 'Does God Play Dice?: Mathematics of Chaos (Penguin Press Science)'
We'd better get used to chaos because it certainly isn't going anywhere. Mathematician Ian Stewart--who is also a very talented writer--shares his insights into the history and nature of the highly complex in Does God Play Dice: The New Mathematics of Chaos. While his delightful phrasings will draw in nearly every reader, those with a strong aversion to figures and formulae should understand that it will be slow going. Chaos math suffuses everything from dreaming to the motion of the planets, and Stewart's words can never match the precision of his numbers. Persistence pays off, though; there are so many "aha" moments of insight herein that it almost qualifies as a religious text. The second edition has been partially revised in the wake of 1990s research, and three exciting new chapters report on prediction and other applications of chaos mathematics. --Rob Lightner
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› Find signed collectible books: 'Evolving the Alien: The Science of Extraterrestrial Life'
What would life on other planets look like? Forget little green men, alien life is likely to be completely unrecognizable. This text offers radical but scientifically accurate thinking on the possibility of life on other planets.
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› Find signed collectible books: 'Fearful Symmetry: Is God a Geometer? (Penguin science)'
Symmetry is one of the most powerful and wide-ranging of mathematical ideas with recent work on symmetry breaking, when symmetrical patterns are slightly altered or corrupted, throwing up an extraordinary range of applications and natural examples, from the stripes on a tiger's back to the territorial patterns of fish and to the structure of viruses. This book looks at the applications of symmetry and symmetry breaking to subjects as diverse as weather patterns, crystal structures, the buckling of beams and particle physics.
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› Find signed collectible books: 'Flatterland'
With Flatterland, Ian Stewart returns with more fantastically mind-bending mathematical puzzles. In 1884, an amiably eccentric clergyman and literary scholar named Edwin Abbott Abbott published an odd philosophical novel called Flatland, in which he explored such things as four-dimensional mathematics and gently satirised some of the orthodoxies of his time. The book went on to be a bestseller in Victorian England, and it has remained in print ever since.
With Flatterland, Stewart, professor of mathematics at the University of Warwick, updates the science of Flatland, adding literally countless dimensions to Abbott's scheme of things. ("Your world has not just four dimensions," one of his characters proclaims, "but five, fifty, a million, or even an infinity of them! And none of them need be time. Space of a hundred and one dimensions is just as real as a space of three dimensions.") Along his fictional path, Stewart touches on Feynman diagrams, superstring theory, time travel, quantum mechanics and black holes, among many other topics. And, in Abbott's spirit, Stewart pokes fun at our own assumptions, including our quest for a Theory of Everything.
You can't help but be charmed by a book with characters named Superpaws, the Hawk King, the Projective Lion and the Space Hopper, and one dotted with doggerel such as "You ain't nothin' but a hadron / nucleifyin' all the time" and "I can't get no / more momentum". And, best of all, you can learn a thing or two about modern mathematics while being roundly entertained. That's no small accomplishment, and one for which Stewart deserves applause. --Gregory McNamee
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› Find signed collectible books: 'Flatterland: Like Flatland, Only More So'
With Flatterland, Ian Stewart returns with more fantastically mind-bending mathematical puzzles. In 1884, an amiably eccentric clergyman and literary scholar named Edwin Abbott Abbott published an odd philosophical novel called Flatland, in which he explored such things as four-dimensional mathematics and gently satirised some of the orthodoxies of his time. The book went on to be a bestseller in Victorian England, and it has remained in print ever since.
With Flatterland, Stewart, professor of mathematics at the University of Warwick, updates the science of Flatland, adding literally countless dimensions to Abbott's scheme of things. ("Your world has not just four dimensions," one of his characters proclaims, "but five, fifty, a million, or even an infinity of them! And none of them need be time. Space of a hundred and one dimensions is just as real as a space of three dimensions.") Along his fictional path, Stewart touches on Feynman diagrams, superstring theory, time travel, quantum mechanics and black holes, among many other topics. And, in Abbott's spirit, Stewart pokes fun at our own assumptions, including our quest for a Theory of Everything.
You can't help but be charmed by a book with characters named Superpaws, the Hawk King, the Projective Lion and the Space Hopper, and one dotted with doggerel such as "You ain't nothin' but a hadron / nucleifyin' all the time" and "I can't get no / more momentum". And, best of all, you can learn a thing or two about modern mathematics while being roundly entertained. That's no small accomplishment, and one for which Stewart deserves applause. --Gregory McNamee
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› Find signed collectible books: 'The Foundations of Mathematics'
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.
› Find signed collectible books: 'From Here to Infinity'
In this retitled and revised edition of The Problems of Mathematics, renowned mathematician Ian Stewart gives math buffs and non-technical readers-as well as students of the subject-the perfect guide to today's mathematics. This challenging and fascinating book includes three new chapters that cover the most recent developments in the mathematics field, including one on Kepler's sphere-packing problem, to which a solution has been at last announced after a wait of 380 years.Stewart, a particularly gifted mathematician and writer, shows us not only that math can be explained in everyday language, but that it can be downright fun as well. Puzzle solvers especially will delight in accounts of puzzles like Fermat's famous theorem, manifolds (a kind of mathematical origami in many dimensions), and the patterns in chaos. And what reader wouldn't want probability theory explained by demonstrating how to maximize one's lottery winnings? According to From Here to Infinity, good mathematics has an air of economy and an element of surprise. One could easily make the same claim for this instructive, amusing, and sometimes mind-boggling book.
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› Find signed collectible books: 'Galois Theory (Chapman and Hall mathematics series)'
Galois theory is a fascinating mixture of classical and modern mathematics, and in fact provided much of the seed from which abstract algebra has grown. It is a showpiece of mathematical unification and of "technology transfer" to a range of modern applications.
Galois Theory, Second Edition is a revision of a well-established and popular text. The author's treatment is rigorous, but motivated by discussion and examples. He further lightens the study with entertaining historical notes - including a detailed description of Évariste Galois' turbulent life. The application of the Galois group to the quintic equation stands as a central theme of the book. Other topics include the problems of trisecting the angle, duplicating the cube, squaring the circle, solving cubic and quartic equations, and the construction of regular polygons
For this edition, the author added an introductory overview, a chapter on the calculation of Galois groups, further clarification of proofs, extra motivating examples, and modified exercises. Photographs from Galois' manuscripts and other illustrations enhance the engaging historical context offered in the first edition.
Written in a lively, highly readable style while sacrificing nothing to mathematical rigor, Galois Theory remains accessible to intermediate undergraduate students and an outstanding introduction to some of the intriguing concepts of abstract algebra.
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› Find signed collectible books: 'Game, Set and Math: Enigmas and Conundrums (Penguin mathematics)'
A collection of the author's recreational mathematics columns from "Pour la Science".
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› Find signed collectible books: 'Get Knotted!: History of Knots (Piccolo Books)'
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› Find signed collectible books: 'How to Cut a Cake: And Other Mathematical Conundrums'
Welcome back to Ian Stewart's magical world of mathematics! Here are twenty more curious puzzles and fantastical mathematical stories from one of the world's most popular and accessible writers on mathematics. This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each chapter--with titles such as, "How to Play Poker By Post" and "Repealing the Law of Averages"--presents a fascinating mathematical puzzle that is challenging, fun, and introduces the reader to a significant mathematical problem in an engaging and witty way. Illustrated with clever and quirky cartoons, each tale will delight those who love puzzles and mathematical conundrums.
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› Find signed collectible books: 'Ivan Moscovich's Super-Games'
Book by Moscovich, Ivan, Stewart, Ian
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› Find signed collectible books: 'Life's Other Secret: New Mathematics of the Living World (Allen Lane Science)'
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› Find signed collectible books: 'Magical Maze Seeing the World Through Ma'
Maths is fun?!? It is in Ian Stewart's romp through a labyrinth of possibilities and logic. Although some of the delightful puzzles, problems and teasers will give your brain a workout, you will be glad you followed the path to the end. Stewart uses the maze metaphor (the book has an "entrance", "passages" and an "exit" rather than an introduction, chapters and an end) to illustrate the mental journeys we take when solving everything from bar tricks to problems of artificial intelligence. Difficult points are illustrated with an imaginary journey and lots of fun games. Real-life examples of mathematical "magic" abound, including the trails of slime-moulds and the dimples in golf balls. Great walk through the jungle of probability. --Therese Littleton
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› Find signed collectible books: 'Math Hysteria: Fun and Games with Mathematics'
Welcome to Ian Stewart's strange and magical world of mathematics! Math Hysteria contains twenty quirky tales of mathematical exploration by one of the world's most popular writers on mathematics. Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including "Counting the Cattle of the Sun," "The Great Drain Robbery," and "Preposterous Piratical Predicaments." Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!
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› Find signed collectible books: 'Nature's Numbers - Discovering Order and Pattern in the Universe'
Mathematics has the power to open our eyes to new and unsuspected regularities in nature - the secret structure of a cloud or the hidden rhythms of the weather. This book aims to equip the reader with a mathematician's eye, changing the way we view the world.
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› Find signed collectible books: 'Nature's Numbers: Discovering Order and Pattern in the Universe (Science Masters)'
Why do many flowers have five or eight petals, but very few six or seven? Why do snowflakes have sixfold symmetry? Why do tigers have stripes but leopards have spots? Mathematics is to nature as Sherlock Holmes is to evidence. Mathematics can look at a single snowflake and deduce the atomic geometry of its crystals; it can start with a violin string and uncover the existence of radio waves. And mathematics still has the power to open our eyes to new and unsuspected regularities - the secret structure of a cloud or the hidden rhythms of the weather. There are patterns in the world we are now seeing for the first time - patterns at the frontier of science, yet patterns so simple that anybody can see them once they know where to look.
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› Find signed collectible books: 'The Problems of Mathematics (OPUS)'
We are living in the Golden Age of mathematics, with more research being done than ever before. Yet many people view mathematics as a static, completed subject. This book for general readers aims to open the door to the rapid modern growth of mathematics and its power and beauty. It surveys many areas of current research in non-technical terms, describing what the problems are, where they come from, how they get solved, what mathematicians are like, what you can do with the answers when you get them, and how solving them or failing to solve them changes peoples' views of mathematics and the way it is advancing. Topics include Fermat's Last Theorem, the Riemann hypothesis, the Poincare Conjecture, prime numbers, non-Euclidean geometry, infinity, the four-color problem, probability, catastrophe theory, chaos, fractals, algorithms, and undecidable propositions. A final chapter discusses the relations between mathematics and its applications. Each topic is developed within a historical framework, and a number of recent breakthroughs are presented for the first time in layman's terms.
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› Find signed collectible books: 'The Problems of Mathematics (Opus Books)'
We are living in the Golden Age of mathematics, with more research being done than ever before. Yet many people view mathematics as a static, completed subject. This book for general readers aims to open the door to the rapid modern growth of mathematics and its power and beauty. It surveys many areas of current research in non-technical terms, describing what the problems are, where they come from, how they get solved, what mathematicians are like, what you can do with the answers when you get them, and how solving them or failing to solve them changes peoples' views of mathematics and the way it is advancing. Topics include Fermat's Last Theorem, the Riemann hypothesis, the Poincare Conjecture, prime numbers, non-Euclidean geometry, infinity, the four-color problem, probability, catastrophe theory, chaos, fractals, algorithms, and undecidable propositions. A final chapter discusses the relations between mathematics and its applications. Each topic is developed within a historical framework, and a number of recent breakthroughs are presented for the first time in layman's terms.
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› Find signed collectible books: 'Project Finance: Principles and Practice'
This new book on project finance provides a practical 'how-to' guide to deal documentation and explanations of the legal and commercial rationale for the positions taken in these deals. Written by a team of experts from Freshfield Bruckhaus Deringer, the authors provide a clear jargon-free guide relevant to all parties in a deal.
Legal issues are analysed in the context of deal negotiation and contractual provisions that appear in actual project finance documentation in the UK and internationally, in particular covering New York. All perspectives of a typical transaction are covered including the negotiating standpoint of sponsors, funders, contractors, suppliers and service providers, and, where relevant, host governments. The authors provide sample contractual drafting in each chapter and where relevant, explanations as to how the drafting and law differs in common law and civil law jurisdictions.
The principles common to all project finance transactions are covered in the first section, while the second part considers aspects of project finance that are specific to each sector including extraction, electricity, transportation infrastructures, social infrastructures, defence, water and telecommunications industries
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› Find signed collectible books: 'The Science of Discworld'
Terry Pratchett needs no introduction. Ian Stewart has written fine non-fiction books on mathematics, and he and Jack Cohen collaborated on the quirkily inventive pop-science titles The Collapse of Chaos and Figments of Reality. What on earth, or on Discworld, are they all doing in the same book? Pratchett provides a very funny 30,000-word novella about Discworld science, beginning in the High Energy Magic faculty of Unseen University and leading his eccentric wizards to investigate an alien cosmos where there's no magic to keep things going. This is the Roundworld universe--ours. The key point: much that's true only on Discworld (eg that suns orbit planets and not vice-versa) was once believed on Earth and the wizards' comic misunderstandings echo the history of real science...Unusually, Pratchett's story is split into chapters and in between his chapters Stewart and Cohen wittily discuss the concepts underlying the fiction, from the Big Bang through stellar formation to life and evolution. Much of the science we know, they cheerfully insist, is "lies-to-children": good stories that are mostly untrue, like thinking of atoms as tiny solar systems. Discworld operates by narrative plausibility and so does human thought even when our Roundworld universe disagrees. Between the laughs, The Science of Discworld is a provocative, informative book that'll make you think about what you think you know. --David Langford
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› Find signed collectible books: 'The Science of Discworld II: The Globe'
Like its predecessor, The Science of Discworld II contains a short Discworld fantasy by Terry Pratchett whose chapters alternate with popular science commentary from Ian Stewart and Jack Cohen.
In the Discworld strand, the bickering Unseen University wizards revisit their accidental creation Roundworld--that astonishing place where there's no magic. Our world, in fact. But it's being influenced by elves (bad news in the Pratchett cosmos), who bring superstition and irrational terrors to evolving humanity. They feed on fear.
This is the cue for Stewart and Cohen to develop their ideas of stories as a shaping power in the evolution of human intelligence. Whether they're called spells, memes, creeds, theorems, artworks or lies, satisfying stories are Roundworld's equivalent of Discworld magic. It's just that it all happens in our heads: "headology" as top witch Granny Weatherwax puts it.
Struggling to make Roundworld history come out right despite elvish interference, the wizards entangle themselves in complications of time travel and must eventually beg advice from Granny. To encourage a rational attitude to facts, it seems, Roundworld needs transcendent fictions--represented, in narrative shorthand, by the works of one William Shakespeare. The trick is to make sure he gets born...
The racy exposition of the non-fiction chapters covers plenty of ground, including astrology, cargo cults, phase spaces, information theory, and the evolution of species, art, science and religion, all reflecting the human tendency not to let facts spoil a good story. Meanwhile the Discworld chapters--though sometimes disappointingly short--are fast and funny, climaxing with much unscripted action at the first night of a famous play. The Science of Discworld II is ultimately entertaining and genuinely thought-provoking, as expected from this team. Laugh and learn! --David Langford
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› Find signed collectible books: 'The Science of Discworld III: Darwin's Watch'
The wizards discover to their cost that its no easy task to change history.
Roundworld is in trouble again, and this time it looks fatal. Having created it in the first place, the wizards of Unseen University feel vaguely responsible for its safety. They know the creatures that lived there escaped the impending Big Freeze by inventing the space elevator they even intervened to rid the planet of a plague of elves, who attempted to divert humanity onto a different time track. But now its all gone wrong Victorian England has stagnated and the pace of progress would embarrass a limping snail. Unless something drastic is done, there wont be time for anyone to invent space flight, and the human race will be turned into ice-pops.
Why, though, did history come adrift? Was it Sir Arthur Nightingales dismal book about natural selection? Or was it the devastating response by an obscure country vicar called Charles Darwin whose bestselling Theology of Species made it impossible to refute the divine design of living creatures?
Can the God of Evolution come to humanitys aid and ensure Darwin writes a very different book? And who stopped him writing it in the first place?
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› Find signed collectible books: 'The Science of Discworld IV: Judgement Day: It's Wizards Vs Priests in a Battle for the Future of Roundworld'
A brilliant new Discworld story from Terry Pratchett.
The fourth book in the Science of Discworld series, and this time around dealing with THE REALLY BIG QUESTIONS, Terry Pratchett's brilliant new Discworld story Judgement Day is annotated with very big footnotes (the interleaving chapters) by mathematician Ian Stewart and biologist Jack Cohen, to bring you a mind-mangling combination of fiction, cutting-edge science and philosophy.
Marjorie Dawe is a librarian, and takes her job -- and indeed the truth of words -- very seriously. She doesn't know it, but her world and ours -- Roundworld -- is in big trouble. On Discworld, a colossal row is brewing. The Wizards of the Unseen University feel responsible for Roundworld (as one would for a pet gerbil). After all, they brought it into existence by bungling an experiment in Quantum ThaumoDynamics. But legal action is being brought against them by Omnians, who say that the Wizards' god-like actions make a mockery of their noble religion. As the finest legal brains in Discworld (a zombie and a priest) gird their loins to do battle -- and when the Great Big Thing in the High Energy Magic Laboratory is switched on -- Marjorie Dawe finds herself thrown across the multiverse and right in the middle of the whole explosive affair.
As God, the Universe and, frankly, Everything Else is investigated by the trio, you can expect world-bearing elephants, quantum gravity in the Escher-verse, evolutionary design, eternal inflation, dark matter, disbelief systems -- and an in-depth study of how to invent a better mousetrap.
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› Find signed collectible books: 'Singularities and Groups in Bifurcation Theory: Volume II (Applied Mathematical Sciences)'
Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.
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› Find signed collectible books: 'Symmetry: A Very Short Introduction (Very Short Introductions)'
Symmetry is an immensely important concept in mathematics and throughout the sciences. In this Very Short Introduction, Ian Stewart demonstrates symmetry's deep implications, showing how it even plays a major role in the current search to unify relativity and quantum theory. Stewart, a respected mathematician as well as a widely known popular-science and science-fiction writer, brings to this volume his deep knowledge of the subject and his gift for conveying science to general readers with clarity and humor. He describes how symmetry's applications range across the entire field of mathematics and how symmetry governs the structure of crystals, innumerable types of pattern formation, and how systems change their state as parameters vary. Symmetry is also highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. Fundamental physics is governed by symmetries in the laws of nature--Einstein's point that the laws should be the same at all locations and all times.
About the Series:
Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.
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› Find signed collectible books: 'Taylor Expansions and Catastrophes (Chapman & Hall/CRC Research Notes in Mathematics Series)'
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› Find signed collectible books: 'What Does a Martian Look Like?: The Science of Extraterrestrial Life'
Most books about alien life are by astrophysicists, and spend their time arguing whether other planets and solar systems are habitable. This one is different. The authors point out that aqueous planets are common and where water exists life is likely. The test here is to find those features of life and evolution that are universal, and then to work out how they might have operated to produce life in other worlds. Along the way, the authors use examples of the aliens on offer via films, books and TV. Many have entirely reasonable biologies, others - cuddlies like ET, or dragons like the Alien - fail to measure up to the tests the authors set, but help narrow the search for the 'scientific alien'. The authors conclude that humans are not alone as intelligent entities, and that many others have appeared, and will appear, on other planets. And now, they argue, we can even surmise what they will look like and why.
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› Find signed collectible books: 'What Shape is a Snowflake?'
For years Ian Stewart has been wrestling with the mathematical underpinnings of the natural world. In his new book What Shape is a Snowflake? he explains his fascination with nature's numbers and explores the fruits of his quest so far. No, wait! There isn't a single equation in the book--honest.
Stewart starts with a general exploration of patterns in nature--six-pointed snowflakes, feathery patterns of frost on glass, zebra stripes, ripples in the sand, honeycombs, spirals, and so on--then attempts to illustrate, in words, the mathematical principles underlying them. In the process the reader is introduced to ideas of dimensionality, symmetry in all its manifestations, patterns of tiling and packing, symmetry breaking, fractals, complexity theory and chaos. In the penultimate chapter he goes on to explain how the mathematics of earthly nature may mirror that of the universe. Finally he addresses the question of the book's title: What shape is a snowflake? You may be disappointed with the answer, but only if you don't get the joke.
Snowflake is a fascinating read, though it does requires a bit of patience. Much space in the first half of the book is given over to introducing patterns without offering many clues as to what generates them. In consequence, I found myself skipping sections to get to the juicier bits towards the end. Still, for the numerically challenged but patient reader, Snowflake is as friendly an introduction to the mathematics of nature as you could wish to find.--Chris Lavers
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