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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: Alicia Burdess
Publisher:
ISBN: 9781039110236
Category :
Languages : en
Pages : 56
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Book Description
Aiyana finds a long, skinny strip of paper on the ground that looks like a road. As she follows the road, she folds the paper in half, and it becomes a mountain for her to climb. With every fold, she makes a new shape, one that fuels her curiosity in wonderful ways and takes her on a magical journey into the world of fractals. This is a beautiful story about the power of imagination, mathematics, and the world around us. It is a chance for readers of all ages to catch a glimpse of the beauty of math and inspire the joy of their own inner mathematician. Fold along with Aiyana and see the magic unfold!
Author: Jeffrey Ventrella
Publisher: Lulu.com
ISBN: 0983054622
Category : Computers
Languages : en
Pages : 206
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Book Description
* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color images * An in-depth taxonomy of Koch-constructed Fractal Curves * An intuitive introduction to Koch construction * A must-read for anyone interested in fractal geometry
Author: Jeffrey Ventrella
Publisher: Eyebrain Books
ISBN: 9780983054634
Category : Computers
Languages : en
Pages : 154
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Book Description
This book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandelbrot's original book. Many new fractal curves are introduced. The taxonomy is based upon the Gaussian integers and the Eisenstein integers - each forming a lattice (square and triangular). These lattices have algebraic properties, which allows number theory to be used in describing and classifying these curves. This work has been under development for over 30 years. An earlier version of this taxonomy is described in the book ""Brain-filling Curves"", also by Jeffrey Ventrella. More on plane-filling curves can be found at fractalcurves.com
Author: Scott Kennedy
Publisher:
ISBN: 9780415810166
Category : China
Languages : en
Pages : 0
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Book Description
This comprehensive new work offers a systematic analysis of growing Chinese engagement in global governance institutions during the past three decades. During this period, Chinese have gone from outsiders to observers to active participants in just about every realm of governance. However, there is substantial variation in the ways Chinese participate and how effective they are in promoting their own interests This variation, in turn, has direct consequences for multilateral cooperation and addressing the globe's thorniest problems. This book is based on studies of Chinese involvement in a wide cross section of regimes, including trade, finance, intellectual property rights, climate change, public heath, labour, and technical standards. Through detailed analysis of different areas of global governance, the contributors to this volume argue that China has become most adept at regimes that serve the needs of industrial producers, and has moved less up the learning curve in those regimes focused on other actors, such as labour, or addressing other problems, such as climate change. Emphasising that Chinese participation has important implications for addressing some of the most pressing global problems, this work examines why China often avoids taking the lead when it comes to reform and considers the prospects for Chinese becoming advocates for more progressive reform of the international system. This work will be essential reading for students and scholars of international relations, China studies and global governance.
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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Book Description
Publisher Description
Author: Jörg Arndt
Publisher: Springer Science & Business Media
ISBN: 364214764X
Category : Computers
Languages : en
Pages : 980
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Book Description
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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Book Description
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: Andreas Sorgatz
Publisher: Springer Science & Business Media
ISBN: 3642599958
Category : Computers
Languages : en
Pages : 249
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Book Description
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: Vadim V. Annenkov
Publisher: John Wiley & Sons
ISBN: 1119488192
Category : Science
Languages : en
Pages : 452
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Book Description
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.
