the magical maze seeing the world through mathematical eyes

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The Magical Maze

Author : Ian Stewart
ISBN : UOM:39076002014053
Genre : Mathematics
File Size : 72. 90 MB
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Approaches mathematics using an assortment of puzzles and problems and the metaphorical structure of a maze.

Off The Main Sequence

Author : Tom Easton
ISBN : 9780809512058
Genre : Literary Criticism
File Size : 60. 86 MB
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Tom Easton has served as the monthly book review columnist for Analog Science Fiction for almost three decades, having contributed during that span many hundreds of columns and over a million words of penetrating criticism on the best literature that science fiction has to offer. His reviews have been celebrated for their wit, humor, readability, knowledge, and incisiveness. His love of literature, particularly fantastic literature, is everywhere evident in his essays. Easton has ever been willing to cover small presses, obscure authors, and unusual publications, being the only major critic in the field to do so on a regular basis. He seems to delight in finding the rare gem among the backwaters of the publishing field. "A reviewer's job," he says, "is not to judge books for the ages, but to tell readers enough about a book to give them some idea of whether they would enjoy it." And this he does admirably, whether he's discussing the works of the great writers in the field, or touching upon the least amongst them. This companion volume to "Periodic Stars" (Borgo/Wildside) collects another 250 of Easton's best reviews from the last fifteen years of "The Reference Library." No one does it better, and no other guide provides such lengthy or discerning commentary on the best SF works of recent times. Complete with Introduction and detailed Index.

Brushstrokes Into The World Of Mathematics

Author : Drora Booth
ISBN : 9781925416695
Genre : Education
File Size : 82. 94 MB
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'While there have been many studies documenting the close relationship between the early drawings of young children and written language, it is exciting for educators and parents to learn, through the research of Dr Booth, that intuitive pattern painting, free from the expectation of producing representative images, can support the development of mathematical and scientific concepts.' - Edward Broomhall 'I first became aware of Drora's ideas in the 1970s. I was a lecturer in Child Development at the Nursery School Teachers' College, where Drora had trained to become an early childhood teacher. Over a long period she had been developing her theory regarding the value of children's non-representational painting, and what their paintings revealed about early stages of their intellectual development. I saw examples of what she described in my own children's preschool paintings, so I was intrigued and hoped she would continue to both work with children and further explore the links between children's painting and the foundations of mathematical thinking. Drora has indeed gone on to make this her life's work. She has been an inspiration both as a dedicated teacher and a scholar who was prepared to go against received wisdom regarding the way children should be taught to paint, and to study higher mathematics in order to gain a deeper understanding of the significance of children's intuitive pattern-making. The result has been her collection of beautiful children's paintings, the gift to many children of an absorbing and satisfying activity, and a bold and original contribution to our understanding of how children's concepts develop. I hope that research in the future will build on the foundations she has laid, with consequent benefit to the education of our children.' - Leone Huntsman

Success With Mathematics

Author : Heather Cooke
ISBN : 9781134426546
Genre : Education
File Size : 67. 29 MB
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Many students find the leap between school and university level mathematics to be significantly greater than they expected. Success with Mathematics has been devised and written especially in order to help students bridge that gap. It offers clear, practical guidance from experienced teachers of mathematics in higher education on such key issues as: * getting started * ways of studying * assessment * mathematical communication * learning by doing * using ICT * using calculators * what next. After reading this book, students will find themselves better prepared for the change in pace, rigour and abstraction they encounter in degree level mathematics. They will also find themselves able to broaden their learning strategies and improve their self-directed study skills. This book is essential reading for anyone following, or about to undertake, a degree in mathematics, or other degree courses with mathematical content.

Christmas At The Royal Institution

Author : Frank A. J. L. James
ISBN : 9789812771100
Genre : Chemistry
File Size : 47. 3 MB
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Since the mid-1820s, a series of lectures has been delivered each year over the Christmas period in the world-famous Faraday Lecture Theatre at The Royal Institution of Great Britain by prominent scientists, addressed specifically to an audience of children. Initially made accessible in book form, the lectures have been nationally televised throughout the UK and distributed worldwide since the 1960s, making them accessible to an even larger audience. The importance of these lectures in promoting science to a broad audience is perhaps best gauged by the fact that an image of one of Faraday''s lectures appeared on the Bank of England u20 note in the 1990s. This anthology brings together, for the first time, a carefully chosen selection of 11 lectures from the 1860s to the 1990s. The selection includes lectures by Michael Faraday, arguably the most important and influential 19th-century physicist, and Lawrence Bragg, the youngest ever winner of the Nobel Prize. Through this work, readers will come to grips with the changing nature of popular science lectures over the past 140 years. Sample Chapter(s). Introduction (7,804 KB). Chapter 1: The Correlation of the Physical Forces (957 KB). Chapter 2: Carbon or Charcoal-Coal Gas-Respiration and Its Analogy to the Burning of a Candle-Conclusion (345 KB). Chapter 3: The Forms of Water in Clouds and Rivers, Ice and Glaciers (422 KB). Chapter 4: Lessons in Electricity (781 KB). Contents: The Correlation of the Physical Forces (M Faraday); Carbon or Charcoal OCo Coal Gas OCo Respiration and Its Analogy to the Burning of a Candle OCo Conclusion (M Faraday); The Forms of Water in Clouds and Rivers, Ice and Glaciers (J Tyndall); Lessons in Electricity (J Tyndall); Stars (R S Ball); RAntgen Light (S P Thompson); The Great Extinct Reptiles OCo Dinosaurs from the Oolites OCo The Pariasaurus and Inostransevia from the Trias of North Russia and South Africa OCo Marine Reptiles (E R Lankester); The Atoms of Which Things Are Made (W H Bragg); Our Electrical Supply (W L Bragg); Objects and Pictures (R L Gregory); Gallery of Monsters (I Stewart). Readership: Scientists with an interest in communicating science; historians with an interest in the development of science communication; general public interested in science."

The Unimaginable Mathematics Of Borges Library Of Babel

Author : William Goldbloom Bloch
ISBN : 9780199887309
Genre : Mathematics
File Size : 78. 77 MB
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"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G?del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

The Puzzle Instinct

Author : Marcel Danesi
ISBN : 0253217083
Genre : Games
File Size : 40. 60 MB
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"Humans are the only animals who create and solve puzzles—for the sheer pleasure of it—and there is no obvious genetic reason why we would do this. Marcel Danesi explores the psychology of puzzles and puzzling, with scores of classic examples. His pioneering book is both entertaining and enlightening." —Will Shortz, Crossword Editor, The New York Times "... Puzzle fanatics will enjoy the many riddles, illusions, cryptograms and other mind-benders offered for analysis." —Psychology Today "... a bristlingly clear... always intriguing survey of the history and rationale of puzzles.... [A] splendid study...." —Knight Ridder Newspapers

Cows In The Maze

Author : Ian Stewart
ISBN : 9780199562077
Genre : Games
File Size : 70. 73 MB
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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.

Nature S Numbers

Author : Ian Stewart
ISBN : 9781780227771
Genre : Mathematics
File Size : 78. 99 MB
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A mathematical sightseeing tour of the natural world from the author of THE MAGICAL MAZE 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.

Here S Looking At Euclid

Author : Alex Bellos
ISBN : 9781416596349
Genre : Mathematics
File Size : 35. 19 MB
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Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct—including the revelation that ants can actually count how many steps they’ve taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games. Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. Here’s Looking at Euclid is a rare gem that brings the beauty of math to life.

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