The Dragon Curve PDF Download

Author: Alicia Burdess
Publisher:
ISBN: 9781039110250
Category :
Languages : en
Pages : 0

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Author: Vladimir Rovenski
Publisher: Springer Science & Business Media
ISBN: 1461221285
Category : Mathematics
Languages : en
Pages : 310

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Book Description
This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using Maple programs in the book---the work is devoted to three main areas: curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple programs, some of which are analogous to C++ programs, including those for splines and fractals. To avoid tedious typing, readers will be able to download many of the programs from the Birkhauser web site. Aimed at a broad audience of students, instructors of mathematics, computer scientists, and engineers who have knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or self-study reference. With over 100 stimulating exercises, problems and solutions, {\it Geometry of Curves and Surfaces with Maple} will integrate traditional differential and non- Euclidean geometries with more current computer algebra systems in a practical and user-friendly format.

Author: Michael Frame
Publisher: Cambridge University Press
ISBN: 9780883851692
Category : Computers
Languages : en
Pages : 232

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Author: Andreas Sorgatz
Publisher: Springer Science & Business Media
ISBN: 3642599958
Category : Computers
Languages : en
Pages : 249

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A dynamic module is a special kind of machine code library that can be loaded at run-time like MuPAD library packages. Dynamic modules allow users to integrate simple C/C++ functions as well as complete software packages into MuPAD and to use them as regular MuPAD functions. They give users direct access to internal methods and data structures of MuPAD and allow it to be extended with almost any desired feature. Programming and creating dynamic modules is facilitated by the MuPAD Application Programming Interface MAPI and a special generator. This book is addressed to users and developers of dynamic modules in MuPAD. The accompanying CD-ROM includes a hypertext version of the manual and a trial version of MuPAD 1.4.1 for Linux and Solaris 2.5.

Author: Jörg Arndt
Publisher: Springer Science & Business Media
ISBN: 364214764X
Category : Computers
Languages : en
Pages : 980

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This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations is examined. The focus is on material that does not usually appear in textbooks on algorithms. The implementations are done in C++ and the GP language, written for POSIX-compliant platforms such as the Linux and BSD operating systems.

Author: Carl Bovill
Publisher: Springer Science & Business Media
ISBN: 1461208432
Category : Mathematics
Languages : en
Pages : 200

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na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

Author: Joseph Seckbach
Publisher: John Wiley & Sons
ISBN: 1119488192
Category : Science
Languages : en
Pages : 448

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DIATOM MORPHOGENESIS A unique book presenting the range of silica structures formed by diatoms, theories and hypotheses of how they are made, and applications to nanotechnology by use or imitation of diatom morphogenesis. There are up to 200,000 species of diatoms, each species of these algal cells bearing an ornate, amorphous silica glass shell. The silica is structured at 7 orders of magnitude size range and is thus the most complex multiscalar solid structure known. Recent research is beginning to unravel how a single cell marshals chemical, physical, biochemical, genetic, and cytoskeletal processes to produce these single-cell marvels. The field of diatom nanotechnology is advancing as this understanding matures. Diatoms have been actively studied over the recent 10-20 years with various modern equipment, experimental and computer simulation approaches, including molecular biology, fluorescence-based methods, electron, confocal, and AFM microscopy. This has resulted in a huge amount of information but the key stages of their silica morphogenesis are still not clear. This is the time to reconsider and consolidate the work performed so far and to understand how we can go ahead. The main objective of this book is to describe the actual situation in the science of diatom morphogenesis, to specify the most important unresolved questions, and to present the corresponding hypotheses. The following areas are discussed: A tutorial chapter, with a glossary for newcomers to the field, who are often from outside of biology, let alone phycology; Diatom Morphogenesis: general issues, including symmetry and size issues; Diatom Morphogenesis: simulation, including analytical and numerical methods for description of the diatom valve shape and pore structure; Diatom Morphogenesis: physiology, biochemistry, and applications, including the relationship between taxonomy and physiology, biosilicification hypotheses, and ideas about applications of diatoms. Audience Researchers, scientists, and graduate students in the fields of phycology, general biology, marine sciences, the chemistry of silica, materials science, and ecology.

Author: C.A. Pickover
Publisher: Elsevier
ISBN: 0080528864
Category : Mathematics
Languages : en
Pages : 469

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Book Description
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Author: Geoffrey R. Goodson
Publisher: Cambridge University Press
ISBN: 1107112672
Category : Mathematics
Languages : en
Pages : 419

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Book Description
This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.

Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
ISBN: 1475747403
Category : Mathematics
Languages : en
Pages : 1013

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Book Description
For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.