By Assad Ebrahim, on May 20th, 2010 (11,092 views)
Topic: Toolkit
(Mathematical Toolset Series: TeX & LaTeX, Part 2 of 3)
EDIT: 25.Oct.2015 – improved templates added.
You can get started with LaTeX / TeX on Windows within an hour. This article walks you through setting up a working platform, provides basic templates for you to produce your first PDF document, and points you to reference materials you may find useful as you advance. The instructions below have been tested against WinXP, Win7, and now Win8.
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By Assad Ebrahim, on May 20th, 2010 (9,749 views)
Topic: Toolkit
(Mathematical Toolset Series: TeX & LaTeX, Part 3 of 3)
If you write frequently, it is likely that you have certain stock or administrative material that is included in each of your documents. You also likely spend a substantial portion of your overall effort rewriting, editing, or rearranging material. In this situation, one of the best ways of preserving your time and your sanity is to adopt a modular approach to document development.
In this final article of the three part series on LaTeX / TeX, I will discuss a modular approach to document preparation using TeX. I’ll also provide modular templates that should make your use of TeX more efficient.
By Assad Ebrahim, on April 15th, 2010 (6,764 views)
Topic: Education, Phenomenology
An examination of mathematical methods and the search for mathematical meaning.
During your studies of mathematics, physics and engineering, you may find yourself distracted or troubled by meta questions about mathematics — questions that fall outside the syllabi of most of the coursework that you’ll take.
For those for whom this itch is persistent, what follows is an outline and reading list for a Course in the Philosophy and Foundations of Mathematics. Among the topics included are the relation of mathematics to science, the examination of mathematical method, and the search for mathematical meaning.
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By Assad Ebrahim and Carol Ouellette, on April 2nd, 2010 (6,162 views)
Topic: Mathematics, Technical
By Assad Ebrahim, on February 25th, 2010 (29,171 views)
Topic: Mathematics, Technical
Updated! February 5, 2017
The value of zero raised to the zero power, , has been discussed since the time of Euler in the 18th century (1700s). There are three reasonable choices: 1,0, or “indeterminate”. Despite consensus amongst mathematicians that the correct answer is one, computing platforms seem to have reached a variety of conclusions: Google, R, Octave, Ruby, and Microsoft Calculator choose 1; Hexelon Max and TI36 calculator choose 0; and Maxima and Excel throw an error (indeterminate). In this article, I’ll explain why, for discrete mathematics, the correct answer cannot be anything other than 0^0=1, for reasons that go beyond consistency with the Binomial Theorem (Knuth’s argument).
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By Assad Ebrahim, on February 22nd, 2010 (39,160 views)
Topic: Toolkit
Maxima is a symbolic computation platform that is free, open source, runs on Windows, Linux, and Mac, and covers a wide range of mathematical functions, including 2D/3D plotting and animation. Capabiities include algebraic simplification, polynomials, methods from calculus, matrix equations, differential equations, number theory, combinatorics, hypergeometric functions, tensors, gravitational physics, PDEs, nonlinear systems. With an active developer base and responsive community, a user gets a secure future lifecycle of the product and plenty of help when dealing with problems. The result: an essential mathematical computing package for students, programmers, engineers, scientists, and mathematicians. This article will help you get started with Maxima.
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Reading List… MathematicsApplications
MathematicsTechnical
MathematicsPhenomenology
Mathematics Education
Advanced Technology
Programming / Software Engineering

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