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…By virtue of its unbeatable low cost (free), ready availability for all three major operating systems, and its raw power in all areas of mathematics and analytic engineering, Maxima is a mathematical computing package that ought to be in the toolbelt of every programmer, engineering, scientist, and mathematician. From garden-variety algebraic simplification, polynomials, calculus, [...] (Discrete Mathematics Techniques II) Abstract (Discrete Mathematics Techniques I) Abstract …For industry or research. Over the coming months, I’ll be posting articles as part of a series on setting up a toolset for Mathematics work in industry or research. I’ll be emphasizing open source software. Though the primary target is the Windows PC platform (dominant in industry), I will list alternatives for Linux/Unix. Good mathematical technique can bring the solution to certain mathematical questions within reach. By a proper formulation (one that is both tractable and that generalizes readily) and the use of mechanical techniques, one can often pass from a single insight to the solution of a family of problems, and in some cases, to the [...] …Thoughts on the Teaching of Exploratory, Topical Mathematics Mathematics is a richly spun tapestry threaded with interconnections from a multiplicity of endeavors, perspectives, and disciplines, both theoretical and applied. Contrary to its typical presentation, mathematics is not a linear subject. For an instructor, this presents a number of challenges: how best to address the non-linear, inter-woven [...] The development of mathematics has had many encouraging forces: societal, technological, cultural. These have served to accelerate mathematics and have been accelerated in turn, in many cases the pair becoming locked into a mutually beneficial resonance that has dramatically energized both. In this article, I look at some of the significant catalysts, from the rise [...] … in a nutshell The development of mathematics is intimately interwoven with the progress of civilization, influencing the course of history through its application to science and technology. But mathematics has changed. Even the mathematics of the 1800s can seem quite strange now, so greatly has mathematics evolved in the past 100 years and [...] What are the characteristics of mathematics, especially contemporary mathematics? I’ll consider five groups of characteristics:
Applicability and Effectiveness, Can a definition be given that captures the meaning of Mathematics across the millennia of its recorded history? What unites the practice of mathematics throughout its history and into the present time? In this article, I will try for a short answer by proceeding iteratively — convergence will be reached in two iterations…. |
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© 2009-2012 Assad Ebrahim |
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