Math is no more about equations than poetry is about spelling. Find your Aha! moment.
How To Learn Trigonometry Intuitively
Go beyond SOH-CAH-TOA and visualize trig.
An Interactive Guide To The Fourier Transform
An Intuitive Guide to Linear Algebra
Intuitive Understanding Of Euler’s Formula
Developing Your Intuition For Math
Intuitive Guide to Angles, Degrees and Radians
A Visual, Intuitive Guide to Imaginary Numbers
Rethinking Arithmetic: A Visual Guide
Surprising Uses of the Pythagorean Theorem
Demystifying the Natural Logarithm (ln)
An Intuitive (and Short) Explanation of Bayes’ Theorem
An Intuitive Guide To Exponential Functions & e
Techniques for Adding the Numbers 1 to 100
Mental Math Shortcuts
Learning starts with an analogy.
Why Learn Math?
Vocabulary for thinking
Start with the cat, not its DNA
Bow & Arrow Intuition
First, have a good shot.
Pencil, Then Ink
Don't hide the process
Useful, even if "wrong"
Simplify ideas to a caricature
Intuition Isn't Optional
The recipe for knowledge that lasts.
Arithmetic & Numbers
Mental Math Shortcuts
A few memorable conversions
Sum 1 to 100
Rearrange to simplify
Every operation is a transformation
Sense of Scale
Bring large numbers down to everyday terms
Counting spans or points?
When the odometer ticks over
Variations on clocks
Algebra & Counting
Multiply possibilities, divide redundancies
Atoms within numbers
The Equals Sign
Set, check, or define?
Break down the tepee
Extract the true cause
Types of Graphs
Map (distance matters) or non-map
Use geometry, algebra, calculus
Navigate a Grid
Convert decisions to letters & permute
Combinations & Multiplication
How much oomph, how often?
How every shape changes
Compare any quantities
Step back. Smaller shape, same ratios.
Work from a unit triangle
Precalculus & Trigonometry
Angles from the mover’s perspective
Surround that critter
The natural sway found in circles, springs
The Number e
Perfectly smooth growth
Time needed to grow
Numbers can rotate
Arithmetic goes 2d
Scale & rotate
Grow numbers in the expand-o-tron
Think With Exponents
Logs are causes, exponents are effects
Visualize a dome, wall, and ceiling
Law of Sines
Every angle has an equal perspective.
Law of Cosines
Keep track of interacting parts.
Draw the circles yourself.
See footprints, guess the animal
"Typical" depends on the relationship
23 people, many possibilities
Extra info? Adjust the odds.
Short Bayes’ Theorem
Track new info in a table
Original door vs. best of the other two
Learn the basics, fast.
Fundamental Theorem of Calculus
Rules: Add, Multiply, Invert
Patterns In the Rules
Rules: Powers, Division
The big insights. All together now.
1 Minute Calculus
Analyze patterns with x-ray and time-lapse vision
0.999… = 1?
What's your number system?
Guess what happened when you blinked
Limits / Infinitesimals
Make a model perfect
Measurements depend on the instrument
Imagine linked machines
Quotient, exponents, logs
Calculus Bank Account
Raises change income, changing the balance
Circulation & Curl
Total twist, twist at a point
Microwave the doughboy, quick
Follow the best tradeoff
Amount of bananas crossing a surface
Flux per unit volume
Mario Kart speed boost
All the uneven parts
Engineering / University Math
Math with mini-spreadsheets
Imaginary exponents make circles
Patterns have circular ingredients
Track files over time
Pass around changes
#1: There's a staging area
A quickstart guide
Minify, compress, move to end
Don't redownload until expired
Zip files before sending
Starting Ruby on Rails
Get past the gotchas
Fat models, thin controller, thin view
Treat a script as data
Attacker spoofs a legit request
Debugging with Firefox
You'll never run out. Ever.
Space efficiency vs. marshalling
Computers speak different languages
Not every char is 2 bytes
Cleverness, not for real life
Newton's method, magic initializer
Deobfuscate object code
Telnet is an IM conversation
Rule of 72
time = 72/interest
Sometimes 80% is enough
A transparent store
Everything is owned by someone
A formula for every type of interest
Debt & Leverage
Invested debt multiplies return
If you're Hulk, be Hulk.
Simplicity vs. Complexity
Complexity, not power, is the enemy.
Notes on Happiness
Passion, foolishness, dancing
Brevity is Beautiful