Math, Better Explained
Format: PDF / Kindle (mobi) / ePub
You could never forget what a circle is for, right? I want you to have that same realization about e, the natural log, imaginary numbers, and more.
What's inside the final ebook?
12+ Chapters covering exponents, logarithms, radians, the pythagorean theorem and other subjects essential to any student
A bonus chapter on Euler's Formula, tying the above concepts together
PowerPoint slides for all diagrams used in the chapters
Who's it for?
Students: Save hours of frustration -- get things as I wish they were explained to me!
Teachers: Get high-quality educational materials & ideas for your lesson plans.
Self-learners: Understand subjects at a conceptual level that is rarely discussed in textbooks
What's the benefit?
Get a professionally designed, easy-to-read PDF
Browse chapters on your iPhone, Kindle or other PDF-reading device (no DRM!)
Learn for yourself, or as a gift for your favorite student, teacher, or autodidact.
Save hours/years of frustration when learning math:
Never before have I heard such a clear and concise explanation of the fundamentals... I seriously could have saved hours of hair-pulling in university had I had access to this article years ago.
I have several books on calculus (Calculus for Dummys, Math for the Millions, etc. etc. - never was able to read them) but your explanation is what I have needed all these years.
This is a great explanation! I am 49 years old and have never known what e is all about. It is thanks to your article that I get it and now can explain it to my son who is 13 years old...
Yes, we are making a triangle of sorts, and the hypotenuse is the distance from zero: Neat. While measuring the size isn’t as easy as “dropping the negative sign”, complex numbers do have their uses. Let’s take a look. A Real Example: Rotations We’re not going to wait until college physics to use imaginary numbers. Let’s try them out today. There’s much more to say about complex multiplication, but keep this in mind: • Multiplying by a complex number rotates by its angle Let’s take a look.
more growing things, which creates more growing things… your return adds up fast. The most basic type is period-over-period return, which usually means “year over year”. Reinvesting our interest annually looks like this: Math, Better 10 Interest Rates 104 of 144 Explained We earn $50 from year 0 - 1, just like with simple interest. But in year 1-2, now that our total is $150, we can earn $75 this year (50% * 150) giving us $225. In year 2-3 we have $225, so we earn 50% of that, or
think about what it means. The feeling of the equation. Make it your friend. It’s the calculus way of saying “Your rate of growth is equal to your current amount”. Well, growing at your current amount would be a 100% interest rate, right? And by always growing it means you are always calculating interest — it’s another way of describing continuously compound interest! Math, Better 2 Math Intuition 12 of 144 Explained • Definition 3: Define e by as a function always growing by 100% of your
123 of 144 Explained 12 This chapter is in production :). Title: Euler’s Formula Euler’s Formula Math, Better 12 12 Euler’s Formula 124 of 144 Explained Math, Better 12 Euler’s Formula 125 of 144 Explained Math, Better 12 Euler’s Formula 126 of 144 Explained Math, Better 12 Euler’s Formula 127 of 144 Explained Math, Better 12 Euler’s Formula 128 of 144 Explained Math, Better 12 Euler’s Formula 129 of 144 Explained Math, Better 12 Euler’s Formula 130 of 144
139 of 144 Explained Math, Better 12 Euler’s Formula 140 of 144 Explained Math, Better 12 Euler’s Formula 141 of 144 Explained 13 13 To be forthcoming. Title: Afterward Afterward Math, Better 13 13 Afterward 142 of 144 Explained Math, Better 13 Afterward 143 of 144 Explained Concluding Text Here. Math, Better 13 Afterward 144 of 144 Explained Document Outline Developing Your Intuition For Math