Complex Systems :: Applications
Dynamical Systems :: Differential Equations

Wiley: All New Mathematics & Statistics Titles

Teach Yourself VISUALLY Calculus
Dale W. Johnson, M.A. Mon, 12 May 2008 04:00:00 -0000
  Calculus can test the limits of even the most advanced math students. This visual, easy-to-follow book deconstructs complex mathematical concepts in a way that's infinitely easier to grasp. With clear, color-coded methods, you'll get step-by-step instructions on solving problems using limits, derivatives, differentiation, curve sketching, and integrals. Easy access to concepts means you don't have to sort through lengthy instructional text, Read More...
Functions Modeling Change: A Preparation for Calculus 3rd Edition with WebAssign 1 Semester Set
Eric Connally Mon, 05 May 2008 04:00:00 -0000
Read More...
Calculus: Multivariable 4th Edition with WebAssign 1 Semester Set
William G. McCallum Mon, 05 May 2008 04:00:00 -0000
Read More...
Probability and Statistics for Computer Science
James L. Johnson Fri, 02 May 2008 04:00:00 -0000
  A unique probability guide for computer science Read More...
Statistical Practice in Business and Industry
Shirley Coleman (Editor), Tony Greenfield (Co-Editor), Dave Stewardson (Co-Editor), Douglas C. Montgomery (Co-Editor) Fri, 25 Apr 2008 04:00:00 -0000
  This book covers all the latest advances, as well as more established methods, in the application of statistical and optimisation methods within modern industry. These include applications from a range of industries that include micro-electronics, chemical, automotive, engineering, food, component assembly, household goods and plastics. Methods range from basic graphical approaches to generalised modelling, Read More...
Meta Analysis: A Guide to Calibrating and Combining Statistical Evidence
Elena Kulinskaya, Stephan Morgenthaler, Robert G. Staudte Fri, 25 Apr 2008 04:00:00 -0000
  Meta Analysis: A Guide to Calibrating and Combining Statistical Evidence acts as a source of basic methods for scientists wanting to combine evidence from different experiments. The authors aim to promote a deeper understanding of the notion of statistical evidence. The book is comprised of two parts – The Handbook, and The Theory. The Handbook is a guide for combining and interpreting experimental evidence to solve standard Read More...

 

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Fractal Geometry - Comprehensive educational resource on the mathematical framework and formalism from the Yale University, covering the concept of self similarity. Includes topical examples, images, algorithms and softwares.

Mandelbrot, Benoit B. - Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews.
Meta Description: [ Official Biography site. Benoit B. Mandelbrot is the world's foremost impetus for the advancement of Fractal Geometry. Learn about his life and work. ]

3D Fractals Bicomplex Dynamics - Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.

3D Mountains - Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations.

A Fractal Christmas - Short Article from Inside Science News Service describing the basics. Includes illustrations and links.

Bitshifters - Images generated by different commercial applications. Includes FAQs and tutorial.
Meta Description: [ These images are of the Mandelbrot set, a fractal generated from a simple mathematical formula. They were produced by DRAWING Librarian Professional (DP). ]

404 Chaos and Fractals: A Short Trip in Fractional Dimensions - Addresses the chaotic behavior of different attractors and their mathematical expressions. Includes plots, images and program source codes.

404 Chaos Theory and Fractals - Glossary and terms directory. Includes mathematical formulations and illustrations of the most common sets.

Chaos, Fractals, and Arcadia - Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.

Dan Freeland - Explains the basics. Includes gallery and free software for exploring different sets and singularities.

Efg's Computer Lab: Fractals and Chaos - Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds.

Fractal Brownian Archipelago - Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set.

Fractal Dimensions - Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations.

Fractal Explorer - Tutorial for beginners covering the Mandelbrot and Julia sets, as well as four-dimensional sets. Includes interactive generators and gallery.
Meta Description: [ A fractal tutorial for beginners by Fabio Cesari ]

Fractal Foundation - Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact.
Meta Description: [ The Fractal Foundation is a nonprofit organization whose mission is to educate and inspire people about the joy of math, art, science and technology. ]

Fractal Map - Interactive online Mandelbrot and Julia generator.
Meta Description: [ Fractal Map - A fun and addictive online fractal viewer. No Java required ]

Fractals and Multi Layer Coloring Algorithms - Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references.

Fractals and Scale - Discussion about the original mathematical concepts and the applications of scales and dimensions. Includes formalisms, examples and illustrations.

Fractals Unleashed - Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian]

Fractals, Chaos - Quotes and information on different types of sets and attractors. Includes image gallery, plots, mathematical formulation and articles.

Homepage of Kristian Gustavsson - Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery.
Meta Description: [ Project about fractals and chaos. The fractal generator FracZoom. Project in genetic computation: A selfprogramming Nintendo player. ]

IFS Attractors - Index and definition of different attractors. Includes images, plots and glossary.

Images From Chaos - Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.
Meta Description: [ Chaotic, Complex & Critical Systems. Numerical Experiments, Mathematical Models, Fractals ]

Introduction to Lacunarity - Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.

Introduction: Chaos, Fractals And Attractors - Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.

Iterations and the Mandelbrot Set - Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references.

Julia and Mandelbrot Set Explorer - Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers.

Kleinian Groups Pictures - Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.

Mandelbrot Fractals Generator - Applet to explore the Mandelbrot set in real time.

Mathematical Figures Using Mathematica - Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.
Meta Description: [ Fractals and combinatorics diagrams created using Mathematica. ]

Mathematics: Stilldreamer - Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code.
Meta Description: [ Articles which pertain mostly to mathematics, often with sample programs. ]

NASA: Fractal Clouds - Information on the modeling aspects of cloud forms and structures, and their implications for climate. Including descriptions of cloud types, movies, glossary and publications.

Newton Basins - Article about the basins of attraction for the Newton's method for finding roots of equations and their resulting representation in the complex plane. Includes mathematical framework and examples.

Project Fractales - Research group at the INRIA national research center, France. Includes research details, publications and software.

Quantum Jumps, EEQT and the Five Platonic Fractals - Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography.
Meta Description: [ Quantum Jumps, EEQT and the Five Platonic Fractals ]

Sierpinski Gasket - Scientific article describing the mathematical background of the Sierpinski gasket. Includes formulation, models and references.

Technocosm - Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.

Tetrabrot Fractal Videos - Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and descriptions.

404 The 3x+1 Fractal - Paper that generalizes the Collatz problem to complex numbers. Includes insights, results and references.

The Dynamical Systems and Technology Project - Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.

The Mandelbrot and Julia Sets Anatomy - Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.

The Modular Group and Fractals - Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.
Meta Description: [ An exposition of the relationship between fractals, the Riemann Zeta, the Modular Group Gamma and the Farey Fractions ]

The Spanky Fractal Database - Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links.

What are Fractals? - Explains the basics, adressing definitions, dimensions and uses. Includes gallery and resources.
Meta Description: [ Ahh, the beauty of non-interger self-similar dimensions. An explanation of fractals and some cool picts. ]

Wikipedia: Fractals - Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.