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LEADER: 03200nam a22004455a 4500
001 013841378-9
005 20131206202305.0
008 130531s2004 xxu| s ||0| 0|eng d
020 $a9781475740172
020 $a9781475740172
020 $a9781441918970
024 7 $a10.1007/978-1-4757-4017-2$2doi
035 $a(Springer)9781475740172
040 $aSpringer
050 4 $aQA1-939
072 7 $aPB$2bicssc
072 7 $aMAT000000$2bisacsh
082 04 $a510$223
100 1 $aMandelbrot, Benoit B.,$eauthor.
245 10 $aFractals and Chaos :$bThe Mandelbrot Set and Beyond /$cby Benoit B. Mandelbrot.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2004.
300 $aXII, 308 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
505 0 $aForeword by Peter W Jones -- Preface -- Quadratic Julia and Mandelbrot Sets -- NonQuadratic Rational Dynamics -- Iterated Nonlinear Function Systems and the Fractal Limit Sets of Kleinian Groups -- Multifractal Invariant Measures -- Background and History -- Bibliography.-Index.
520 $a"It is only twenty-three years since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot Set. The graphics were state of the art, though now they may seem primitive. But how that picture has changed our views of the mathematical and physical universe! Fractals, a term coined by Mandelbrot, are now so ubiquitous in the scientific conscience that it is difficult to remember the psychological shock of their arrival. What we see in this book is a glimpse of how Mandelbrot helped change our way of looking at the world. It is not just a book about a particular class of problems, but contains a view on how to approach the mathematical and physical universe. This view is certain not to fade, but to be part of the working philosophy of the next mathematical revolution, wherever it may take us. So read the book, look at the beautiful pictures that continue to fascinate and amaze, and enjoy! " From the foreword by Peter W Jones, Yale University This heavily illustrated book combines hard-to-find early papers by the author with additional chapters that describe the historical background and context. Key topics are quadratic dynamics and its Julia and Mandelbrot sets, nonquadratic dynamics, Kleinian limit sets, and the Minkowski measure. Benoit B Mandelbrot is Sterling Professor of Mathematical Sciences at Yale University and IBM Fellow Emeritus (Physics) at the IBM T J Watson Research Center. He was awarded the Wolf Prize for Physics in 1993 and the Japan Prize for Science and Technology in 2003.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aDifferentiable dynamical systems.
650 0 $aPhysics.
650 24 $aMathematics, general.
650 24 $aDynamical Systems and Ergodic Theory.
650 24 $aHistory of Mathematical Sciences.
650 24 $aPhysics, general.
650 24 $aStatistical Physics, Dynamical Systems and Complexity.
776 08 $iPrinted edition:$z9781441918970
988 $a20131119
906 $0VEN