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Fractals : on the edge of chaos / by Linton, Oliver,author.;
Includes bibliographical references."Fractal-hunter Oliver Linton takes us on journey into the mathematics of fractals, diving into everything from coastlines to carpets to reveal some of the most recently discovered and intriguing patterns in science and nature"--Back cover.
Subjects: Fractals; Mandelbrot sets.; Mathematical models.;
Available copies: 1 / Total copies: 1
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Fractals : [videorecording] hunting the hidden dimension / by Schwarz, Michael,television producer.; Jersey, Bill,television producer.(CARDINAL)225295; Ross, Neil,narrator.; Rife, Christopher,composer.; Chater, John,director of photography.; Catticus Corporation.(CARDINAL)198997; Kikim Media (Firm); PBS Home Video.(CARDINAL)218235; Quest Productions.(CARDINAL)178481; WGBH Educational Foundation.(CARDINAL)132712;
Fractal basics -- The Mandelbrot set -- On the defense -- Fractals in the body -- Nature's fractal nature.Editor, John Haptas ; director of photography, John Chater ; sound, Doug Dunderdale ; music, Christopher Rife.Narrator, Neil Ross."What do movie special effects, the stock market, heart attacks, and the rings of Saturn have in common? They all consist of fractals"--Computer with DVD-ROM drive required to access teacher's guide ; Adobe Acrobat Reader software required to open and print teacher's guide.DVD; stereo.
Subjects: Documentary television programs.; Documentary films.; Video recordings for the hearing impaired.; Video recordings for people with visual disabilities.; Fractals.; Fractals in art.; Geometry.; Mathematics.;
Available copies: 3 / Total copies: 4
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Fractals [videorecording] : hunting the hidden dimension / by Wallace, Melanie(Producer); Schwarz, Michael(Producer); Jersey, Bill.4pro,director.; Ross, Neil,1944-; Rife, Christopher.; Haptas, John.; Chater, John.; Catticus Corporation.(CARDINAL)198997; Kikim Media (Firm); PBS Home Video.(CARDINAL)218235; Quest Productions.(CARDINAL)178481; WGBH Educational Foundation.(CARDINAL)132712;
Fractal basics -- The Mandelbrot set -- On the defense -- Fractals in the body -- Nature's fractal nature.Editor, John Haptas ; director of photography, John Chater ; music, Christopher Rife.Narrator, Neil Ross."Nova takes viewers on a fascinating quest with a group of pioneering mathematicians determined to decipher the rules that govern fractal geometry. Their remarkable findings are deepening our understanding of nature and stimulating a new wave of scientific, medical and artistic innovation, stretching from the ecology of the rainforest to fashion design."--Container.DVD, region 1, anamorphic widescreen presentation ; Dolby Digital stereo., NTSC.
Subjects: Fractals.; Fractals in art.; Geometry.; Mathematics.; Documentary television programs.; Video recordings for the hearing impaired.; Video recordings for people with visual disabilities.; Educational films.;
Available copies: 1 / Total copies: 1
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The computational beauty of nature : computer explorations of fractals, chaos, complex systems, and adaptation / by Flake, Gary William,author.; MIT Press,publisher.;
Includes bibliographical references (pages 469-482) and index.
Subjects: Computer programming.; System analysis.;
Available copies: 1 / Total copies: 1
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Fractal worlds : grown, built, and imagined / by Frame, Michael,author.; Urry, Amelia,1991-author.;
Includes bibliographical references (pages 439-489) and index.Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame-a close collaborator with Benoit Mandelbrot, the founder of fractal geometry-and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.
Subjects: Mandelbrot, Benoit B.; Fractals.; Mathematical analysis.;
Available copies: 1 / Total copies: 1
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Magical mathematics : the mathematical ideas that animate great magic tricks / by Diaconis, Persi.(CARDINAL)777443; Graham, Ron,1950-(CARDINAL)486115;
Includes bibliographical references (pages 231-237) and index.Graham, Ron,"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"--
Subjects: Card tricks;
Available copies: 5 / Total copies: 5
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Chaos : making a new science / by Gleick, James.(CARDINAL)188262;
Bibliography: pages 318-340.1160L
Subjects: Chaotic behavior in systems.;
Available copies: 3 / Total copies: 5
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Mastering differential equations [videorecording] : the visual method / by Devaney, Robert L.,1948-(CARDINAL)520600; Teaching Company.(CARDINAL)349444;
Disc 1. Lecture 1. What is a differential equation? -- Lecture 2. A limited-growth population model -- Lecture 3. Classification of equilibrium points -- Lecture 4. Bifurcations: drastic changes in solutions -- Lecture 5. Methods for finding explicit solutions -- Lecture 6. How computers solve differential equations.Disc 2. Lecture 7. Systems of equations: a predator-prey system -- Lecture 8. Second-order equations: the mass-spring system -- Lecture 9. Damped and undamped harmonic oscillators -- Lecture 10. Beating modes and resonance of oscillators -- Lecture 11. Linear systems of differential equations -- Lecture 12. An excursion into linear algebra.Disc 3. Lecture 13. Visualizing complex and zero eigenvalues -- Lecture 14. Summarizing all possible linear solutions -- Lecture 15. Nonlinear systems viewed globally: nullclines -- Lectures 16. Nonlinear systems near equilibria, linearization -- Lecture 17. Bifurcations in a competing species model -- Lecture 18. Limit cycles and oscillations in chemistry.Disc 4. Lecture 19. All sorts of nonlinear pendulums -- Lecture 20. Periodic forcing and how chaos occurs -- Lecture 21. Understanding chaos and iterated functions -- Lecture 22. Periods and ordering of iterated functions -- Lecture 23. Chaotic itineraries in a space of all sequences -- Lecture 24. Conquering chaos, Mandelbrot and Julia sets.Producer, Matt Costanza, Dan Shine ; editor, Maureen Tumulty ; director, Jonathan Leven.Twenty-four lectures of thirty minutes each by Robert L. Devaney, Boston University.Twenty-four lectures (30 minutes per lecture) taught by Boston University Professor Robert L. Devaney.DVD.
Subjects: Educational films.; Lectures.; Video recordings.; Differential equations.;
Available copies: 1 / Total copies: 1
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Pushcart prize XXVII : best of the small presses / by Henderson, Bill,1941-(CARDINAL)723459;
Fields of mercy / Ladette Randolph -- The woman who hated Valentine's Day / Susan Hahn -- The worst degree of unforgivable / Nicholas Montemarano -- The hickeys on Sally Palermo's neck: some thoughts on beauty and the creative life / Andrea Hollander Budy -- Two variations on a theme by Stevens / Sarah Manguso -- Pilgrims / Julie Orringer -- Red berries / Jane Hirshfield -- Where the dog is buried / Gary Gildner -- Book / Robert Pinsky -- Candace counts soup / Nancy Lord -- (My lot to spin the purple: that the tabernacle should be made) / D.A. Powell -- Sister Carrie at 101 / Joseph Epstein -- He writes to the soul / Christopher Howell -- Dangerous discoveries / Melanie Rae Thon -- In the cafe / Grace Schulman -- Yangban / Junse Kim -- from The lightning field / Carol Moldaw -- Jinx / Aimee Bender -- Autumn in the yard we planted / Ellen Bryant Voigt -- The instructor / Joyce Carol Oates -- Cloud atlas / Donald Platt -- Landscape with bees / David Young -- Cabeza / Monique De Varennes -- For a Chinese poet writing through the night up on the edge of Mt. Pollux / Dara Wier -- Autochthonic song / Rebecca Seiferle -- Sonnet / Karen Volkman -- Heron / William Wenthe -- Off Island / Michael Parker -- Killing salmon / Matt Yurdana -- A working boy's Whitman / George Evans -- The weight / Richard Bausch.Introduction / Bill Henderson -- Everything ravaged, everything burned / Wells Tower -- The limit / Christian Wiman -- The lace maker / Carl Dennis -- Scordatura / Mark Ray Lewis -- How to meditate / Brenda Miller -- The sensual world / Louise Gluck -- Lunch at the Blacksmith / Cornelia Nixon -- To be honest / Jeffrey A. Lockwood -- The past / Chris Forhan -- The Mandelbrot set / Janet Burroway -- Camp Cedar Crest / Alexander Theroux -- From the psalter / Jennifer Atkinson -- Casualidades / Carolyn Alessio -- Solatium -- Philip D. Beidler -- The church of omnivorous light / Robert Wrigley -- House of stone and song / Margaret Gibson -- The pass / Steve Almond -- Line / John Hales -- The beauties of nature / Mary Jo Bang -- Ode to the air traffic controller / Joshua Beckman -- The lives of strangers / Chitra Banerjee Divakaruni -- Traveling with my mother / Katherine Taylor -- Prayer against the experts and their ways / Paul Maliszewski -- The part of the bee's body embedded in the flesh / Carol Frost -- I demand to know where you're taking me / Dan Chaon -- Ginkgo tree / Tom Crawford -- The master of Delft / Aleksandr Kushner -- Cock robin / Miranda Field -- Amazing grace / Bradford Morrow -- Heat waves in winter distance / James Galvin -- The road to Rome, and back again / Michael Palma -- The least you need to know about radio / Ben Marcus -- Cord / Linda Gregerson -- On the nature of human romantic interaction / Karl Iagnemma -- Night train / Ted Genoways.A yearly anthology of fiction, essays and poetry from the small presses chosen by writers.
Subjects: American literature;
Available copies: 1 / Total copies: 1
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Mathematics : powerful patterns into nature and society / by Henderson, Harry,1951-(CARDINAL)766549;
Includes bibliographical references (pages 159-162) and index.How nature counts: Leonardo of Pisa discovers fibonacci numbers: Those useful Arabic numerals -- Practical mathematics -- Reviving mathematics in Europe -- Number theory -- Other mathematicians: Arab mathematicians -- Problem with rabbits -- Fibonacci numbers in nature -- Golden ratio -- Inner harmony? -- Parallels: Mathematics and Greek philosophy -- Leonardo's legacy -- Tools for pattern-finders: Karl Pearson and statistics: Roving mind -- Grammer of science -- Other scientists: Francis Galton -- Statistical tools -- Eugenics and the Galton Laboratory -- Issues: Evaluating experiments -- Issues: Political use of science -- Later life -- Surmises and simulations: John von Neumann puts the computer in play: Young genius in a brilliant city -- Finding a career -- Contributions to physics and mathematics -- Economics and game theory -- Issues: Von Neumann and "The Bomb" -- Need for speed -- Designing the digital computer -- Self-reproducing automaton -- Difficult fate -- Other scientists: Stanisław Ulam -- Delicate equilibrium: John Nash and game theory: "Diffferent" child -- Wayward path to math -- Life at Princeton-- Game theory and the Nash equilibrium -- Falling short -- I was there: Infuriating but so brilliant -- Breakdown -- In the shadowlands -- Connections: Math and madness? -- Long climb back -- Nobel triumph -- Endless structure: Benoît Mandelbrot opens the fractal portal -- Learning in the shadow of war -- Different mathematical path -- Mysterious clumps -- Chaos and fractals -- Mandelbrot set -- Finding applications -- Connections: Generating and applying fractals -- Other scientists: Christopher Scholz -- Popularizing fractals -- I was there: Ego or necessity? -- Achievements -- On butterfly wings: Edward Lorenz and chaos theory: Clouds and calculations -- Forecasting and meteorology -- New approach to weather -- Berserk computer? -- Limits of forecasting -- Trends: Weather forecasting today -- Demonstrations of chaos -- Strange attractors -- Other scientists: Mitchell Feigenbaum -- Chaos: A new paradigm? -- Achieving recognition -- Issues: Theories and fads -- Games of emergence: John H. Conway, "Life," and other pastimes: "I want to be a mathematician" -- Cambridge and "surreal numbers" -- Packed in 24 dimensions -- Puzzles and pastimes -- Game of life -- Life without end? -- Seriously weird? -- Other mathematicians: Martin Gardner -- Other mathematicians: William Gosper -- From cosmos to mind: Roger Penrose suggests hidden connections: Talented family -- Turning to mathematics -- Mathematical physics -- Black holes and hawking -- Twisted space and tricky tiles -- Other scientists: Stephen Hawking --Physics of consciousness -- Connections: Unifying relativity and quantum mechanics -- Is the mind a quantum computer? -- Issues: Penrose and his critics -- Major achievements -- Artificial evolution: Christopher Langton creates virtual life: Dilettante gets a computer -- Discovering "Life" -- Genetic programming -- In Von Neumann's footsteps -- "Langton Loop" -- Field without a name -- Virtual ant colony -- Parallels: Artificial life and computer animation -- Information is life -- Los Alamos Conference -- Connections: Artificial intelligence and artificial life -- Artificial life and consciousness -- A new kind of science? Stephen Wolfram and the universal automaton: Teenage physicist -- Computers at Caltech -- Studying cellular automata -- Mathematica -- Shortcut to complexity? -- Connections: Applying Wolfram's ideas -- Universal automaton -- A new kind of science? -- Issues: Is Wolfram's work pseudoscience? -- Assessing Wolfram's science -- Chronology -- Glossary -- Further resources -- Index.
Subjects: Mathematics.; Mathematics; Mathematics;
Available copies: 3 / Total copies: 3
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