Flatterland

Flatterland PDF

Author: Ian Stewart

Publisher: ReadHowYouWant.com

Published: 2010-10-08

Total Pages: 466

ISBN-13: 1458716546

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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.

The Planiverse

The Planiverse PDF

Author: A.K. Dewdney

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 247

ISBN-13: 1461301998

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A classic book about life in a two-dimensional universe, written by a well-known author. Now brought back into print in this revised and updated edition, the book is written within the great tradition of Abbott's Flatland, and Hinton's famous Sphereland. Accessible, imaginative, and clever, it will appeal to a wide array of readers, from serious mathematicians and computer scientists, to science fiction fans.

Spaceland

Spaceland PDF

Author: Rudy Rucker

Publisher: Tor Books

Published: 2003-07-04

Total Pages: 308

ISBN-13: 1429980079

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Joe Cube is a Silicon Valley hotshot--well, a would-be hotshot anyway--hoping that the 3-D TV project he's managing will lead to the big money IPO he's always dreamed of. On New Year's Eve, hoping to impress his wife, he sneaks home the prototype. It brings no new warmth to their cooling relationship, but it does attract someone else's attention. When Joe sees a set of lips talking to him (floating in midair) and feels the poke of a disembodied finger (inside him), it's not because of the champagne he's drunk. He has just met Momo, a woman from the All, a world of four spatial dimensions for whom our narrow world, which she calls Spaceland, is something like a rug, but one filled with motion and life. Momo has a business proposition for Joe, an offer she won't let him refuse. The upside potential becomes much clearer to him once she helps him grow a new eye (on a stalk) that can see in the fourth-dimensional directions, and he agrees. After that it's a wild ride through a million-dollar night in Las Vegas, a budding addiction to tasty purple 4-D food, a failing marriage, eye-popping excursions into the All, and encounters with Momo's foes, rubbery red critters who steal money, offer sage advice and sometimes messily explode. Joe is having the time of his life, until Momo's scheme turns out to have angles he couldn't have imagined. Suddenly the fate of all life here in Spaceland is at stake. Rudy Rucker is a past master at turning mathematical concepts into rollicking science fiction adventure, from Spacetime Donuts and White Light to The Hacker and the Ants. In the tradition of Edwin A. Abbott's classic novel, Flatland, Rucker gives us a tour of higher mathematics and visionary realities. Spaceland is Flatland on hyperdrive! At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Interdisciplinarity, Creativity, and Learning

Interdisciplinarity, Creativity, and Learning PDF

Author: Bharath Sriraman

Publisher: IAP

Published: 2009-06-01

Total Pages: 261

ISBN-13: 1607521881

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Interdisciplinarity is increasingly viewed as a necessary ingredient in the training of future oriented 21st century disciplines that rely on both analytic and synthetic abilities across disciplines. Nearly every curricular document or vision statement of schools and universities include a call for promoting creativity in students. Yet the construct of creativity and giftedness across disciplines remains elusive in the sense that the prototypical examples of such work come from eminent scientists, artists and mathematicians, and little if any work has been conducted with non-eminent individuals. This monograph is an attempt to fill this gap by putting forth the view that interdisciplinarity and creativity are related constructs, and that the cultivation of domain general creativity is possible. Mathematics has historically been anchored to numerous disciplines like theology, natural philosophy, culture and art, allowing for a flexibility of thought that is difficult to cultivate in other disciplines. In this monograph, the numerous chapters from Australia, U.S.A., Canada, Cyprus, Denmark and Japan provide a compelling illustration of the intricate connection of mathematics with literature, paradoxes, history, technology and modeling, thus serving as a conduit for interdisciplinarity, creativity and learning to occur.

Professor Stewart's Cabinet of Mathematical Curiosities

Professor Stewart's Cabinet of Mathematical Curiosities PDF

Author: Ian Stewart

Publisher: Profile Books

Published: 2010-09-03

Total Pages: 320

ISBN-13: 1847651283

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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...

Radiant Cool

Radiant Cool PDF

Author: Dan Edward Lloyd

Publisher: MIT Press

Published: 2004

Total Pages: 380

ISBN-13: 9780262621939

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An innovative theory of consciousness, drawing on the phenomenology of Edmund Husserl and supported by brain-imaging, presented in the form of a hardboiled detective story. Professor Grue is dead (or is he?). When graduate student/sleuth Miranda Sharpe discovers him slumped over his keyboard, she does the sensible thing--she grabs her dissertation and runs. Little does she suspect that soon she will be probing the heart of two mysteries, trying to discover what happened to Max Grue, and trying to solve the profound neurophilosophical problem of consciousness. Radiant Cool may be the first novel of ideas that actually breaks new theoretical ground, as Dan Lloyd uses a neo-noir (neuro-noir?), hard-boiled framework to propose a new theory of consciousness.In the course of her sleuthing, Miranda encounters characters who share her urgency to get to the bottom of the mystery of consciousness, although not always with the most innocent motives. Who holds the key to Max Grue's ultimate vision? Is it the computer-inspired pop psychologist talk-show host? The video-gaming geek with a passion for artificial neural networks? The Russian multi-dimensional data detective, or the sophisticated neuroscientist with the big book contract? Ultimately Miranda teams up with the author's fictional alter ego, "Dan Lloyd," and together they build on the phenomenological theories of philosopher Edmund Husserl (1859-1938) to construct testable hypotheses about the implementation of consciousness in the brain. Will the clues of phenomenology and neuroscience converge in time to avert a catastrophe? (The dramatic ending cannot be revealed here.) Outside the fictional world of the novel, Dan Lloyd (the author) appends a lengthy afterword, explaining the proposed theory of consciousness in more scholarly form. Radiant Cool is a real metaphysical thriller--based in current philosophy of mind--and a genuine scientific detective story--revealing a new interpretation of functional brain imaging. With its ingenious plot and its novel theory, Radiant Cool will be enjoyed in the classroom and the study for its entertaining presentation of phenomenology, neural networks, and brain imaging; but, most importantly, it will find its place as a groundbreaking theory of consciousness.

Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction PDF

Author: Ian Stewart

Publisher: OUP Oxford

Published: 2013-05-30

Total Pages: 152

ISBN-13: 0191652741

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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.

Taxicab Geometry

Taxicab Geometry PDF

Author: Eugene F. Krause

Publisher: Courier Corporation

Published: 2012-04-30

Total Pages: 96

ISBN-13: 048613606X

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Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.

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