Mathematical Finance and The Rise of the Modern Financial Marketplace


One of the fascinating areas to arise recently in applied mathematics has been Mathematical Finance. From a technical point of view, Mathematical Finance uses a broad range of sophisticated mathematics for its financial models, and relies on state-of-the-art software engineering and computer hardware to implement these financial models, often in real-time.

Whether one is interested in technology or not, there is a kernel of core financial ideas at the heart of the global free market capitalist system that every literate citizen should understand. Whether we agree with their principles or with the inequities that are, arguably, the result, these ideas are in place across most of the world today. A closer look at mathematical finance will offer a better understanding of the mechanics of the modern financial world.

In this article, I’ll motivate the need for financial mathematics through a simplified account of the rise of the modern financial marketplace.

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Professional Grade Typesetting with LaTeX / TeX

(Mathematical Toolset Series: TeX & LaTeX, Part 1 of 3)

If symbols, formulas, and equations comprise a large portion of your professional communication, then becoming familiar with the LaTeX / TeX platform should be high on your to-do list. With the right tools and a little practice, the relative ease of creating beautiful documents with TeX may mean that you soon leave your favorite Office suite in favor of TeX for your technical writing.

This article introduces the LaTeX / TeX platform, illustrates its capabilities, and highlights the key differences between using TeX for document preparation and more commonly used word processing systems.

For those that like to know the human side of the tools they use, a little history of TeX, the philosophy motivating its development, and something about its legendary creator, is included.

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An Open Source LaTeX / TeX Platform for Windows

(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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Writing Modular TeX Documents

(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 re-writing, editing, or re-arranging 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.

Assembly Language and Embedded Systems Development

On the Value of Assembly Language, and Resources to get you started in Digital Logic, Computer Architecture, and Assembly Language programming.

Despite advances in programming technologies since the 1970s, there are still reasons to understand and learn assembly language programming. Contrary to what one may imagine, Assembly Language is not a relic of the past, even though a typical applications programmer will almost never need to drop into assembly.

In this article, we’ll look at practical situations in embedded systems development in which assembly language programming is still used, pedagogical reasons to learn assembly language, and provide resources and projects for gaining a working knowledge of digital logic, computer architecture, and assembly language programming.

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The Importance of Non-Technical Questions to Successful Mathematics Education

Students who are hard-working and otherwise successful, but whose peers, mentors, and home environment are mostly non-technical and disengaged from the ideas behind science and technology, are at substantially higher risk of disorientation, dissatisfaction, and disillusionment with mathematics and science.

In this article, I’ll develop this conjecture and suggest an approach that incorporates philosophical and humanistic elements into technical subjects. To reach and engage a broader popluation of students is critical if mathematics education is to directly contribute to the technical (& technological) literacy of a broader population of students.

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