- 1997 Linear Analysis Pages - Jonathan Borwein
Mathematics 419, Linear Analysis (Simon Fraser University). Course information, assignments, extras for enrichment. Classical and applied analysis, special function theory, general analytic knowledge (cardinality, irrationality, complex analysis, continued
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- 3D-XplorMath - Richard Palais
3D-XplorMath creates visualizations of mathematical objects and processes. This tool has built-in algorithms for displaying mathematical objects such as plane curves, space curves, surfaces, conformal maps, polyhedra, ordinary and partial differential
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- Complex Analysis Project - John Mathews
Free resources for an undergraduate class in complex variables and complex analysis, including: modules with discussion and worked examples; Research Experience for Undergraduates topics; computer software supplements; Mathematica notebooks; Maple worksheets;
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- Complexity International - An Electronic Journal of Complex Systems Research
A refereed journal for scientific papers dealing with any area of complex systems research. The theme of the journal is the field of complex systems, the generation of complex behaviour from the interaction of multiple parallel processes. Relevant topics
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- Computer Lab Courseware - University of Toronto
Courseware to help in the teaching of various mathematical concepts. Most is made up of Mathematica notebooks and packages, but some consists of C programs written to run under X-Windows. A lab manual in TeX beginning with an introduction to UNIX and
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- Foundations of Computational Mathematics
The FoCM's primary aim is to further the understanding of the deep relationships between mathematical analysis, topology, geometry and algebra and the computational process as they are evolving together with the modern computer. The meetings are unified
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- Functions of a Complex Variable - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to complex variables, studying the effect of assuming differentiability of functions defined on complex
numbers. The effect is markedly different than for real functions; these functions are much more
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- The Fundamental Theorem of Algebra - B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany
The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies at the intersection of the theory of numbers and the theory of equations, and arises
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- Graphics for Complex Analysis - Douglas N. Arnold; Institute for Mathematics and its Applications
A collection of graphical demonstrations of concepts in complex analysis developed for a course at McAllister. Most are animated so that the original curves are continuously deformed into the image curves, and the eye can follow which points move where;
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- Graphics for Complex Analysis (Java version) - Douglas N. Arnold; Institute for Mathematics and its Applications
A collection of graphical demonstrations using Java of concepts in complex analysis developed for a course at McAllister. Most are animated so that the original curves are continuously deformed into the image curves, and the eye can follow which points
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- Java applets - Terence Tao, UCLA
Experimental Java applets of Besicovitch sets, conformal compactifaction, honeycombs, the complex plane, elementary complex maps, Mobius transforms, multi-valued functions, the complex derivative, the complex integral, Taylor and Laurent series, the fundamental
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- Linear Fractional (Mobius) Transformations - Kevin Brown
Two LFTs f and g are said to be conjugate if there exists an LFT h such that h(f(z)) = g(h(z)) for all z. This is identical to the definition of similarity, except that similarity requires h to be purely linear. Thus, similarity would seem to be a more
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- Mathematical BBS (Mathematics) - Mathematics Dept., Univ. of Ferrara, Italy
Collections of resources: Associations, Departments, Disciplines, Journals, Industrial mathematics, the mathematician. Disciplines include: Algebra; Algebraic geometry; Analysis; Applied Mathematics; Categories; Combinatorics; Complex analysis; Computational
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- Mathematics Animated - Louis A. Talman, Dept. of Mathematical & Computer Sciences, Metropolitan State College of Denver
QuickTime animations to run or download: The Sine Curve; An Ellipse; An Elliptic Reflector; A Parabolic Reflector; The Moving Secant Line; Measuring Slope and Plotting the Derivative; The Cycloid; An Epicycloid; A Hypocycloid; A Simple Polar Area Problem;
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- Sean's Home Page - Sean Mauch
"For the past few years I have been working on an open source textbook. It contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations...." This former
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- University of South Alabama Comprehensive Exam Archive
HTML and PostScript versions, and LaTeX source code for exams in the following topics: Real Analysis I & II; Complex Analysis; Operations Research; Linear Algebra; Abstract Algebra; Number Theory; Probability; Mathematical Statistics; Differential Equations;
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- VeryPrime - Mathematical Search Engine - Marian Olejar, Jr.
Search engine based on text analysis and focused on mathematics and math terms. Includes a dictionary.
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- Visualizing complex analytic functions using domain coloring - Hans Lundmark; Linköping University, Sweden
An article that illustrates graphically some properties of complex analytic functions (also known as holomorphic functions), explaining how complex-valued functions can be visualized using domain coloring.
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- Welcome to the World of Petri Nets - CPN Group, University of Aarhus, Denmark
Petri Nets is a formal and graphical language which is appropriate for modeling complex systems with concurrency. It has nothing to do with network communication but has proven useful for describing, analysing, and verifying protocols typically used in
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