Explanations for everyone.

I want to share hard-won “a ha!” moments in clear and simple language. Even math shortcuts can be fun, I promise.

Math & Numbers

• Intro: Mental math shortcuts, adding 1-100, how to learn math, understanding averages
• Numbers: number systems, visual arithmetic, different bases, Prime numbers
• Statistics: Combinations & permutations, Birthday Paradox, Bayes’ Theorem,
• Geometry: Pythagorean uses, Pythagorean distance, degrees vs radians
• Exponents & Logs: Intuitive exponents, natural log
• Complex numbers: visual introduction, intuitive arithmetic
• Calculus: a gentle introduction, discovering pi
• Vector Calculus: Gradient, Flux, Divergence, Curl & Circulation

Programming & Web Development

• Site tweaks: Faster Javascript load time (examples), HTTP caching, gzip compression
• Ruby on Rails: Starting Ruby on Rails, Understanding MVC
• Tools: version control, distributed VCS
• Web Development: Debugging with Firefox, Javascript Reference, load XML/JSON data, gmail XSRF attack, GUIDs, making bookmarklets
• Low-level Programming: binary files, byte order, unicode, XOR variable swap, Fast 1/sqrt, gdb debugging, symbol tables

Business, Writing & Communication

• Writing: wordpress tips, how to blog
• Business: Rule of 72, pareto principle, marketing lessons, stock market, accounting 101, interest rates
• Thoughts: know thyself, simplicity vs. complexity, japanese innovation, notes on happiness