Mathematics

Wikipedia Category: Fractals Wikipedia Category: Fractals- Collection of encyclopedia articles about self-similar geometric objects with both aesthetical and scientific uses. Fractals and Multi Layer Coloring Algorithms Fractals and Multi Layer Coloring Algorithms- Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Inc… Chaos and Economics Chaos and Economics- Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references, especially from an economical point of… Introduction to Lacunarity Introduction to Lacunarity- Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications. Mandelbrot, Benoit B. Mandelbrot, Benoit B.- Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews. The Modular Group and Fractals The Modular Group and Fractals- Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications. Quantum Jumps, EEQT and the Five Platonic Fractals 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, mathemati… Fractal Brownian Archipelago Fractal Brownian Archipelago- Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set. Homepage of Kristian Gustavsson Homepage of Kristian Gustavsson- Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery. Tetrabrot Fractal Videos Tetrabrot Fractal Videos- Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and d… Images From Chaos Images From Chaos- Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain. Bitshifters Bitshifters- Images generated by different commercial applications. Includes FAQs and tutorial. Fractal Geometry Fractal Geometry- An educational resource on the mathematical framework and formalism from the Yale University, covering the concept of self similarity. Includes topical examples,… Chaos, Fractals, and Arcadia Chaos, Fractals, and Arcadia- Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references. The Mandelbrot and Julia Sets Anatomy The Mandelbrot and Julia Sets Anatomy- Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and math… Technocosm Technocosm- Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries. 3D Fractals Bicomplex Dynamics 3D Fractals Bicomplex Dynamics- Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads. Julia and Mandelbrot Set Explorer 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. Mathematical Figures Using Mathematica Mathematical Figures Using Mathematica- Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations. Efg's Computer Lab: Fractals and Chaos Efg's Computer Lab: Fractals and Chaos- Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical bac… The Dynamical Systems and Technology Project The Dynamical Systems and Technology Project- Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculat… Kleinian Groups Pictures Kleinian Groups Pictures- Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code. Newton Basins 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 math… Fractal Foundation Fractal Foundation- Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematic… Fractal Dimensions Fractal Dimensions- Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illu… Solitary Road - Calculus Solitary Road - Calculus- Covers wide range of caclulus topics: from pre-calculus (definition of function) to multivariable calculus (double integrals). Calculus Notes - eMathHelp Calculus Notes - eMathHelp- Covers almost all topics in Calculus. Every note has illustrations and a lot of examples. Derivative Calculator Derivative Calculator- An online symbolic derivative calculator that supports partial derivatives and shows the input as a graphical formula. Math24.net Math24.net- Topics include limits, derivatives, integrals, infinite sequences and Fourier series. Calculus Video Notes Calculus Video Notes- Video tutorials that explain most of the calculus topics. Intuitive Calculus Intuitive Calculus- This site is dedicated to help students achieve an intuitive grasps of the concepts in basic calculus while still being able to solve the problems they may fin… Alien's Mathematics: Higher Calculus and Super Calculus Alien's Mathematics: Higher Calculus and Super Calculus- Offers downloadable pdf files covering a range of integrals, derivatives and theorems. MyCalculus: Calculus Problem Solver MyCalculus: Calculus Problem Solver- Free online calculus problem solver provides answers to homework problems. Distance Calculus Distance Calculus- Online course providing tutorials on subjects ranging from precalculus to differential equations. Includes math tools and resource links. Kodawari House Kodawari House- Discusses proofs concerning integrals, Taylor series, e^πi, and the beta function. Calculus - Wikipedia Calculus - Wikipedia- Contains information of the history, principles, and applications of calculus. Calculus by Gilbert Strang Calculus by Gilbert Strang- Online text covers introduction to derivatives, applications, methods of solving integration problems, polar coordinates, infinite series, partial deri… Elementary Calculus: An Approach using Infinitesimals Elementary Calculus: An Approach using Infinitesimals- An online book by H. Jerome Keisler. Covers differentiation, continuous functions, integration, limits, applications, infini… Calculus Reference Calculus Reference- Offers a reference containing the main theories and equations of calculus Calculus on the Web Calculus on the Web- An internet tutoring utility for learning and practicing calculus. C.O.W. gives the student or interested user the opportunity to learn and practice problems.… The Calculus Page Problems List The Calculus Page Problems List- Features topic summaries with practice exercises for derivative and integral calculus. Includes solutions. Authored by D. A. Kouba. Understanding Calculus by Faraz Hussain Understanding Calculus by Faraz Hussain- A free, complete 360 page book covering all the basics of Calculus. That's Calculus That's Calculus- Humorous approach to lessons , which are given using Real Player video clips. Topics cover the concept of limit, derivatives, and summation series. Calculus.org Calculus.org- Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation. The University of Minnesota Calculus Initiative The University of Minnesota Calculus Initiative- Offers calculus application examples for the mathematical properties of a rainbow, the fundamental theorem of calculus, methods of… A Calculus Primer A Calculus Primer- This is a clearly written tutorial with plenty of graphic aids. Meant as an introduction for nonspecialists. Covers many of the basics, including differentiatio… Harvey Mudd College Tutorials Harvey Mudd College Tutorials- Topics include precalculus, calculus, multivariable calculus, linear algebra and differential equations. Qrhetoric Calculus Qrhetoric Calculus- Covers the basic derivative functions such as the derivative of polynomials. Some advanced derivative topics are also discussed. The integral is introduced and… CalculusQuest CalculusQuest- An online differential calculus textbook including practice activities. e-Calculus e-Calculus- A basic calculus tutorial covering limits, derivatives, and integrals in PDF format.