Home  - Basic_F - Fractals General

Books Baby Camera Phones Computers Games DVD Electronics Kitchen Magazines Music Garden Software Tools Toys Video Apparel & Accessories Jewelry & Watches Musical Instruments Health & Personal Care Beauty Sports & Outdoors Office Products

e99.com Bookstore

Images

Newsgroups

61-80 of 100    Back | 1  | 2  | 3  | 4  | 5  | Next 20

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Fractals General:     more books (100)

Fractal-Based Point Processes by Steven Bradley Lowen, Malvin Carl Teich, 2005-08-12 Classics On Fractals (Studies in Nonlinearity) by Gerald A. Edgar, 2003-08-07 Chaos, Bifurcations and Fractals Around Us: A Brief Introduction (World Scientific Series on Nonlinear Science, Series a) by Wanda Szemplinska-Stupnicka, 2004-01 Fractals' Physical Origin and Properties (Ettore Majorana International Science Series: Physical Sciences) Fractals in Natural Science: Proceedings of the International Conference on the Complex Geometry in Nature by Shlesinger, 1994-10 Elementary Introduction to Spatial and Temporal Fractals (Lecture Notes in Chemistry) by Liang-Tseng Fan, D. Neogi, et all 1991-08 Fractals in Physics: Essays in Honour of Benoit B Mandelbrot : Proceedings of the International Conference Honouring Benoit B Mandelbrot on His 65th by Amnon Aharony, 1990-06 Fractal Caverns (Summit Books: Decryptors Series) by David F. Rider, 1995-08 Understanding Self-Similar Fractals: A Graphical Guide to the Curves of Nature by Roger Stevens, 1995-04 Chaotic Dynamics and Fractals (Notes and Reports in Mathematics in Science and Engineering Series) by Michael F. Barnsley, 1986-04 Exploring Fractals on the Macintosh by Bernt Wahl, Peter Van Roy, et all 1994-10-31 Introduction to Fractals and Chaos by Richard M. Crownover, 1995-01-01 Fractals in Geophysics by Christopher H. Scholz, 1989-10 Fractal Models in the Earth Sciences by G. Korvin, 1992-07

lists with details

61. Matematiikka
    general. ScienceWorld; Plus Magazine Lehti; Mathematics Wikipedia, the freeencyclopedia; Symbolic computation. Introduction to Symbolic Computation. fractals.  
    http://www.tpu.fi/~tmakela/Linkit/Matematiikka.htm

62. Mathematics In Snowflake's Fractals
    Based on (and named after) Koch s famous snowflake curve , fractals like theones drawn by Snowflake are a classic example of fractals in general.  
    http://compute2.shodor.org/snowflake/help_docs/sf_math.html
    
    Extractions: The fractals drawn by Snowflake have all kinds of interesting mathematics associated with them. (If you already know how the pictures are drawn , the following will make a lot more sense...) Based on (and named after) Koch's famous "snowflake curve", fractals like the ones drawn by Snowflake are a classic example of fractals in general. The concept of iterating a simple rule, and considering the infinite limit of that iterative process, is at the core of most, if not all, fractals in mathematics. Several of the concepts that characterize fractals are easy to see examples of and discuss with Snowflake. Self similarity is loosely considered the unifying quality of all things fractal. The curves explored by Snowflake are exactly self similar (that is, Snowflake draws curves that are approximations to exactly self similar curves). Essentially, that means that if you magnify any particular piece of the curve, it would look exactly like the original. (Some fractals are self similar in less exact waysfor example, the Mandelbrot set exhibits "quasi-self similarity". Magnified bits are like the orginal set, but with more intricacies. Some coastlines exhibit self similarity in that they show the same (non-Euclidean) dimension at different scales.) One of the mind-boggling things about fractals is that they challenge our traditional notion of dimension. Fractal structures often fit best between the integer dimensions that we are used to from Euclidean geometry. For example, a common measure of dimension for the classical Koch snowflake curve is (log 4)/(log 3), approximately 1.26. With Snowflake, students can create their own fractals and learn how to find the fractal dimensions of these curves.

63. Lecture Notes On Physics And Fractals Talk
    into account quantum mechanics and general relativity, and describes quantum numbersgeometrically. Goal of this talk to show that fractals have something to  
    http://www.arches.uga.edu/~mathclub/fractalnotes.html
    
    Extractions: October 2, 2001 Introduction and Motivation Two successful theories: General Relativity Based on physical principles "The laws of physics must be of such a nature that they apply to systems of reference in any kind of motion." A very geometrical theory, based in Riemannian space-time. But whence T mn A purely local theory - the metric is differential What's the global topology of the universe? Quantum Mechanics Based on strange mathematical postulates Probabilistic DxDp ³ Ñ/2 l = Ñ/p t = Ñ/E The observed properties of the quantum world cannot be reproduced by Riemannian geometry. Quantum field-particles approach has not successfully described gravitation. We need to try and extend these theories Observations In quantum mechanics, changing the resolution of measurement dramatically affects the results. Indeed, if your ruler measure centimeters, what sense does an angstrom make? General relativity accounts for all differentiable transformations of coordinate systems. Maybe we could extend to continuous transformations. And, noting the above remark on resolutions, relativity should account for transformation of resolution. Scale dependence in quantum mechanics is only implicitly included through Born's statistical interpretation.

64. Read This: Fractals, Graphics, And Mathematics Education
    Creating a language for the study of roughness and developing the associated computergraphics, he provided the general theory for fractals, which offer new  
    http://www.maa.org/reviews/fractalsmathed.html
    
    Extractions: by M. L. Frame and B. B. Mandelbrot In the past two decades since Benoit Mandelbrot wrote Fractal Geometry of Nature (Freeman, 1982), fractals have grown in popularity and arisen in many contexts and forms in the mathematical, natural, and even social sciences. Some of the foundational ideas for this field can be traced back to the research of Pierre Fatou and Gaston Julia , who wrote important papers on the iteration theory of rational functions in the early twentieth century. Mandelbrot's pioneering work has brought fractal geometry to the fore and energized a new area of mathematics education. Creating a language for the study of "roughness" and developing the associated computer graphics, he provided the general theory for fractals, which offer new insights into understanding many aspects of Nature and the world around us. This is evidenced in such diverse examples as an island coastline or paper folding patterns or even a cauliflower head! Fractal geometry provides an accessible, interesting setting not only for mathematical research, but also for mathematics education, and there have been many curricular initiatives in this area. In addition to its impact on middle and secondary school mathematics, fractal geometry has influenced undergraduate mathematics, and has been the source for many undergraduate research efforts. For example, consider the programs for the

65. The Net Advance Of Physics Homepage
    Complexity + Computation + Defects and Dislocations + Differential Equations + FieldTheory + Foundations of Physics + fractals + general Relativity + Geometry  
    http://web.mit.edu/redingtn/www/netadv/97welcome.html

66. Pure Math Minor And General Interest Courses
    Pure Math Minor and general Interest Courses. PMATH 370 Chaos and fractals (F)This course will discuss the mathematical foundations of chaos, fractals, and  
    http://www.math.uwaterloo.ca/PM_Dept/Undergrad/Courses/courses_minor.shtml
    
    Extractions: Waterloo math@waterloo.ca prospective students current students alumni ... Use Menus Honours students in the Faculty of Mathematics may obtain an Honours X with Pure Mathematics Minor by satisfying all the requirements of the departmental academic plan X together with: PMATH 330 - Introduction to Mathematical Logic (F,W,S) An introduction to analysis, the fundamental ideas behind calculus. This course develops these ideas, such as compactness, continuity, and uniform convergence, and applies them to solving a variety of problems, such as approximations of functions, and the solution of differential equations. The methods of this course appear in numerical analysis, control theory, optimization, and much of applied mathematics, mathematical physics and statistics.

67. Modelling/Simulation Of Randomly And Partially Ordered Cond.matter: General
    Department of XRay Structural Research general aspects of the simulation and analysisof random structures. The figure shows two examples for random fractals.  
    http://www.ifw-dresden.de/ifs/32/mod_sim/mod_sim_hhma_e.htm
    
    Extractions: General aspects of the simulation and analysis of random structures IFW Dresden Deutsch We consider both analytical models and computer simulations. The analytical models are essentially random point fields, random mosaics, random germ-grain models, and others whereas computer models are especially applied for the simulation of partially ordered systems. Our tunable random surface fractal gives a good example for the variability of the analytical methods. The fractal is constructed by the set-theoretical union of a series of random germ-grain models which are self-similar in a statistical sense. The model can be generated in two or three dimensions. It is variable with respect to the maximum size of the grains, the shape (spheres, random polyhedra etc) of the (convex) grains, the volume fractions of the two phases separated by the fractal interface (or border line in two dimensions), the parameters of the self-similarity transformation and the fractal dimension. Analytical expressions for several structure parameters are given, e.g., for the fractal dimension and the correlation function. The figure shows two examples for random fractals. This figure shows two examples for random fractals. These images were genereated in the two-dimensional space. Disks were chosen as grains. The area fraction of the black regions is 0.3 and 0.95, and the fractal dimension is 1.3 and 1.7 for the image on the left and the right hand side, respectively.

68. Chaos & Fractals
    lost.) There have been advances in the field since this book s publication in 1992,but Chaos and fractals remains an authoritative general reference on chaos  
    http://facultyofcomputers.com/0387202293.html
    
    Extractions: Book Description Customer Reviews This is possibly the best and most thorough of all books on fractals. The discussion is excellent, the illustrations superb. After all, these are the guys who developed the computer art exhibits that toured Europe and parts of the US in the 1980s.The mathematics is somewhat advanced, but not so advanced that most persons with a thorough background in high school mathematics cannot understand it. After all, I used it as a primary reference for my book Fractals in Music! People who were interested in this book were also interested in the following books:

69. Question Corner -- Fractals And Their History
    Some of the modern interest in fractals among the general public comes fromthe computerassisted work of the IBM fractal project and 20th century  
    http://www.math.toronto.edu/mathnet/questionCorner/fracthist.html
    
    Extractions: Question Corner and Discussion Area Asked by Anuradha (last name unknown) on July 2, 1997 Please assist me in learning about "fractals." What are fractals? How are they applied in mathematics at secondary school levels and later at higher levels of school or education? The name "fractal" arises from the concept of a fractional dimension. What this means exactly is a difficult to say in simple language and we will simply try to give a feel for what fractals are and what sorts of behaviors they exhibit. Generally fractals are the result of some which is procedure repeated again and again. One of the most basic examples of a fractal is obtained in the following way. Start off with an equilateral triangle which has sides of length 1. Now on each edge of the triangle, add a new equilateral triangle with sides of length 1/3. Now in the middle of each side of this new shape, add a triangle with sides of length 1/9. Continue this process, each time adding new triangles to each side which are 1/3 the size of the triangles added in the last stage. When you are done (infinitely many steps later!) you have the desired fractal. Now let us take a moment to examine some of the properties of this strange new "shape." The area of this object can be calculated by adding up the area which we added at each stage. It is not difficult to see that this sum is actually a geometric series which converges to some finite area. One can also check that, after adding the new triangles at some stage, the perimeter of the shape is four-thirds what it used to be. Thus after repeating the process

70. Fractals
    The subject of fractals is still new, and there are recently morebooks available to explain fractals to the general public. Again  
    http://engineering-books-online.com/0671742175.html
    
    Extractions: Home Search High Volume Orders Links ... Soil Engineering Additional Subjects Bayesian Data Analysis, Second Edition Project management PMP Mom's Big Book of Baking: 200 Simple, Foolproof Recipes for Delicious Family Treats to Get You Through Every Birthday Party, Class Picnic, Potluck, Bake Sale, Holiday, and Multidisciplinary Design Optimization: State of the Art ... Robert T. Kiyosaki Written by John Briggs Customer Reviews This is a fantastic source of images on the subject of fractals, but not a great source of learning. Most books on math and science are difficult for the general reader; few authors (like Isaac Asimov) can make complex things easily understood. But the author of this book is, in my opinion, doing the public a disservice by oversimplifying the subject. The explanations underestimate the public's ability to think, and even include a number of things which are either dead wrong or made-up! The subject of fractals is still new, and there are recently more books available to explain fractals to the general public. Again, this is a great source of images, if that's what you're looking for, but look for another source if you want to undersatnd and appreciate this incredible and important topic. This book was OK-but it had more fractals in nature and not so much in the way of computer-generated fractal art which is what I was looking for. Not bad if you can find it used.

71. Chaos And Fractals In Financial Markets, Part 6, By J. Orlin Grabbe
    Chaos and fractals in Financial Markets. In general, 0 a =2. This means thatbetween the Cauchy and the Normal are all sorts of interesting distributions  
    http://www.orlingrabbe.com/chaos6.htm
    
    Extractions: Chaos and Fractals in Financial Markets Part 6 by J. Orlin Grabbe Prechter’s Drum Roll Robert Prechter is a drummer. He faces the following problem. He wants to strike his drum three times, creating two time intervals which have a special ratio: g h Here is the time ratio he is looking for: he wants the ratio of the first time interval to the second time interval to be the same as the ratio of the second time interval to the entire time required for the three strikes. Let the first time internal (between strikes 1 and 2) be labeled g , while the second time interval (between strikes 2 and 3) be labeled h . So what Prechter is looking for is the ratio of g to h to be the same as h to the whole. However, the whole is simply g + h , so Prechter seeks g and h such that: g / h h / (g+h) Now. Prechter is only looking for a particular ratio. He doesn’t care whether he plays his drum slow or fast. So h can be anything: 1 nano-second, 1 second, 1 minute, or whatever. So let’s set h = 1. (Note that by setting h = 1, we are choosing our

72. Reference: Fractals
    It s a general book about fractals, but concentrating a lot on how fractalsoccur everywhere you look, and the different applications of fractals.  
    http://www.cs.stir.ac.uk/~bpg/Teaching/Reference/fractals/
    
    Extractions: Anamorphic Images sci.fractals FAQ ThinkQuest's Fantastic Fractals pages, including fractal landscapes, fractal music, galleries, workshops and more Sprott's Fractal Gallery is pretty extensive covering many different types of fractal. There is also a "fractal of the day" feature. Paul Bourke's fantastic graphics pages include a good section on Fractals and Chaos . Lots of articles on various fractal topics, and there are galleries too, including a 3D one you can take a virtual tour of! Wizzle's Mathemagic Images , a gallery with lots of beautiful fractals Jeff Field's Fractal Gallery Fractal Landscapes (a project by Bill Nell at Cornell University) Yuval Fisher's highly informative pages about Fractal Image Compression Fractint is a freeware DOS fractal generator. There is also a Fractint Screen Saver available. Linda has some Fractint lessons , useful for finding your way about the program. Filmer , by Julian Haight, is an animation program that uses Fractint to create fractal movies.

73. San Diego State College Of Sciences' General Web Science Resources
    Care, Telemedicine fractals, Chaos, Complexity, Criticality Miscellaneous ScienceResources Miscellaneous High Tech Resources. Education. general Education Web  
    http://www.sci.sdsu.edu/multimedia/generalinfo.html

74. FRACTALS: A RESONANCE BETWEEN ART AND NATURE?
    Given that fractals define our natural environment, the identification of thefractal in understanding the way in which our perception in general and our  
    http://members.tripod.com/vismath7/proceedings/taylor.htm
    
    Extractions: Name: Richard Taylor is an Associate Professor of Physics at the University of Oregon, USA. Since gaining his Ph.D. in experimental physics in 1988, he has published over 125 research papers in international journals and has worked in the USA, UK, Canada, Japan and Australia. In addition, he has trained as a painter at the Manchester School of Art, U.K., and has a Masters Degree in Art Theory. His research interests focus on fractals in a range of physical systems and also on the scientific analysis of abstract art. He currently is writing a book on the Art, Science and Psychology of Jackson Pollock's drip paintings.

75. Learning About Fractals
    A1 _Chaos_ is a good book to get a general overview and history. _fractals Everywhere_is a textbook on fractals that describes what fractals are and how to  
    http://www.faqs.org/faqs/fractal-faq/section-1.html
    
    Extractions: Usenet FAQs Search Web FAQs ... RFC Index http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html Fractal Microscope http://is.dal.ca:3400/~adiggins/fractal/ Dalhousie University Fractal Gallery http://acat.anu.edu.au/contours.html "Contours of the Mind" http://www.maths.tcd.ie/pub/images/images.html Computer Graphics Gallery http://wwfs.aist-na.ac.jp/shika/library/fractal/ SHiKA Fractal Image Library http://www.awa.com/sfff/sfff.html The San Francisco Fractal Factory. http://spanky.triumf.ca/www/spanky.html Spanky (Noel Giffin) http://www.cnam.fr/fractals.html Fractal Gallery (Frank Rousell) http://www.cnam.fr/fractals/anim.html Fractal Animations Gallery (Frank Rousell)

76. Fractals And Fractal Architecture - Introduction
    The following chapters explain what a fractal is in general and how fractalscan be used for architectural analysis and in the stage of planning.  
    http://www.iemar.tuwien.ac.at/modul23/Fractals/subpages/01Introduction.html
    
    Extractions: vienna university of technology ... Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth ... This quotation by Mandelbrot shows that the Euclidean geometry - the perfect “clinical” shapes of cones, pyramids, cubes and spheres - is not the best way to describe natural objects. Clouds, mountains, coastlines and bark are all in contrast to Euclidean figures not smooth but rugged and they offer the same irregularity in smaller scales, which are some important characteristics of fractals - see chapter “ 2.2 Characteristics ”. As the following pages indicate, fractal geometry, in opposition to Euclidean geometry, offers better methods for description or for producing similar natural-like objects respectively. The language in which it is expressed is called “algorithms”, by which complex objects like a fern or a cloud can be reduced to simpler formulas or transformation rules respectively. Fractals can be found everywhere from coastlines, border-lines and other natural rough lines to clouds, mountains, trees, plants, ... and maybe also in architecture. The following chapters explain what a fractal is in general and how fractals can be used for architectural analysis and in the stage of planning. Fractals are used as a helping tool for explanation in many fields ranging from medicine to economy. From this point of view fractals should not be excluded from architecture.

77. Fractals And Fractal Architecture - Definition
    Besides, when we are talking about fractals in general we should neverforget that there are many which have not been found yet.  
    http://www.iemar.tuwien.ac.at/modul23/Fractals/subpages/02Definition.html
    
    Extractions: vienna university of technology The best way to define a fractal is through its attributes: a fractal is “rugged”, which means that it is nowhere smooth, it is “self-similar”, which means that parts look like the whole, it is “developed through iterations”, which means that a transformation is repeatedly applied and it is “dependent on the starting conditions”. Another characteristic is that a fractal is “complex”, but nevertheless it can be described by simple algorithms - that also means that beneath most natural rugged objects there is some order. Fractals are objects of any kind whose spatial form is nowhere smooth, hence termed "irregular", and whose irregularity repeats itself geometrically across many scales In fact there are so many different types of fractals, some of which will be introduced in chapter “ 3 Different Fractals ”, that it is not possible to give one definition for all of them. Besides, when we are talking about fractals in general we should never forget that there are many which have not been found yet. Considering this circumstance, it is more useful to describe some of their characteristics.

78. Per Noergaard - Per Nørgårds Uendelighedsrække - Og Fraktaler
    detailed picture. fractals in general. The term fractal is connectedwith the ideas of fracture surface and break . Whilst geometry  
    http://www.pernoergaard.dk/eng/strukturer/uendelig/ufraktal.html
    
    Extractions: Simple formula, detailed picture The term 'fractal' is connected with the ideas of 'fracture surface' and 'break'. Whilst geometry universally works with straight lines or smooth curves, nature would seem to avoid these regularities. Take the uneven bark of a tree, jagged mountain tops, or an irregular coastline. In fact, completely regular or straight lines do not seem to appear in nature at all. The only exception is a beam of light.

79. General Education Bibliography
    general Education Bibliography for Mathematics. (revised Fall, 1995). Barnsley,M. fractals Everywhere, Academic Press, San Diego, 1988.  
    http://www.math.nmsu.edu/morandi/math210gf97/210gbibliography.html
    
    Extractions: General Education Bibliography for Mathematics (revised Fall, 1995) These books are available at the NMSU library Abbott, E. Flatland Dover, New York, 1952 Ackoff, R. L. The Art of Problem Solving: Accompanied by Ackoff's Fables Wiley, New York, 1987 Adler, H. Introduction to Probability and Statistics, 3rd. Ed. W. H. Freeman, San Francisco, 1964 Ascher, Marcia Ethnomathematics Chattman and Hall, 1990 Asimov, Isaac The Foundation Trilogy Doubleday, New York, 1982 Barnett, Lincoln The Universe and Dr. Einstein William Sloane Associates, New York, 1957 Barnsley, M. Fractals Everywhere Academic Press, San Diego, 1988 Baumgart, J. Historical Topics for the Mathematics Classroom National Council of Teachers, Reston, VA, 1989 Becker, K. Dynamical Systems and Fractals Cambridge Press University, Cambridge, UK, 1989 Beckmann, P. A. A History of Pi St. Martin's, New York, 1971 Bell, E. T. The Men of Mathematics Touchstone, New York, 1986 Biggs, N. Graph Theory Clarendon Press, Oxford, 1936 Bonola, R. Non-Euclidean Geometry Dover Publications, New York, 1955 Box, G.

80. University Of Wyoming General Bulletin: A&S Special Courses
    6). Courses of broad general appeal and an interdepartmental flavor will be offeredfrom time to time under this title. 4280. Chaos, fractals and Complexity.  
    http://uwadmnweb.uwyo.edu/registrar/bulletin/ans_.html
    
    Extractions: College/Division Programs ... 4000 Level 1100. Academic and Career Orientation. 1. Provides students with opportunity to explore areas of study available within the colleges of the university and to evaluate their own abilities, interests, and skills relative to career choice. Emphasis is placed upon study skills, self-awareness, exploration of the work world and preparation for entry into a given career. Offered for S/U only. (Normally offered both semesters) 2000. Study Abroad. 1-18 (Max. 18). Students may register through the University of Wyoming for up to two semesters of academic work abroad with the approval of the academic adviser, head of the major department and coordinator of the Study Abroad Program. 2200. British Life and Culture 3. A study of contemporary British institutions and significant aspects of the culture, with a focus on London. Offered as S/U only. Prerequisite: participation in London semester. 2490. Special Topics in. 1-3 (Max. 6). Courses of broad general appeal and an interdepartmental flavor will be offered from time to time under this title. Permits utilization of unusual faculty expertise and provides highly-specialized and particularly pertinent, timely subject matter. See current class schedule for topics. Prerequisite: sophomore standing.

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

61-80 of 100    Back | 1  | 2  | 3  | 4  | 5  | Next 20