Mathematical Science & Technologies

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Looking for the best long-form articles on this site? Below is a curated list by the main topics covered.

Mathematics History & Philosophy

1. What is Mathematics?
2. Prehistoric Origins of Mathematics
3. The Mathematics of Uruk & Susa (3500-3000 BCE)
4. How Algebra Became Abstract: George Peacock & the Birth of Modern Algebra (England, 1830)
5. The Rise of Mathematical Logic: from Laws of Thoughts to Foundations for Mathematics
6. Mathematical Finance and The Rise of the Modern Financial Marketplace
7. A Course in the Philosophy and Foundations of Mathematics
8. The Development of Mathematics
9. Catalysts in the Development of Mathematics
10. Characteristics of Modern Mathematics

Topics in Mathematics: Pure & Applied Mathematics

1. Fuzzy Classifiers & Quantile Statistics Techniques in Continuous Data Monitoring
2. LOGIC in a Nutshell: Theory & Applications (including a FORTH simulator and digital circuit design)
3. Finite Summation of Integer Powers: (Part 1 | Part 2 | Part 3)
4. The Mathematics of Duelling
5. A Radar Tracking Approach to Data Mining
6. Analysis of Visitor Statistics: Data Mining in-the-Small
7. Why Zero Raised to the Zero Power IS One

Technology: Electronics & Embedded Computing

1. Electronics in the Junior School - Gateway to Technology
2. Coding for Pre-Schoolers - A Turtle Logo in Forth
3. Experimenting with Microcontrollers - an Arduino development kit for under £12
4. Making Sensors Talk for under £5, and Voice Controlled Hardware
5. Computer Programming: A brief survey from the 1940s to the present
6. Forth, Lisp, & Ruby: languages that make it easy to write your own domain specific language (DSL)
7. Programming Microcontrollers: Low Power, Small Footprints & Fast Prototypes
8. Building a 13-key pure analog electronic piano.
9. TinyPhoto: Embedded Graphics and Low-Fat Computing
10. Computing / Software Toolkits
11. Assembly Language programming (Part 1 | Part 2 | Part 3)
12. Bare Bones Programming: The C Language

Technology: Sensors & Intelligent Systems

1. Knowledge Engineering & the Emerging Technologies of the Next Decade
2. Sensors and Systems
3. Unmanned Autonomous Systems & Networks of Sensors
4. The Advance of Marine Micro-ROVs

Maths Education

1. Maxima: A Computer Algebra System for Advanced Mathematics & Physics
2. Teaching Enriched Mathematics, Part 1
3. Teaching Enriched Mathematics, Part 2: Levelling Student Success Factors
4. A Course in the Philosophy and Foundations of Mathematics
5. Logic, Proof, and Professional Communication: five reflections
6. Good mathematical technique and the case for mathematical insight