Math, Better Explained by Kalid Azad

By Kalid Azad

You'll always remember what a circle is for, correct? i would like you to have that very same recognition approximately e, the average log, imaginary numbers, and more.

What's contained in the ultimate ebook?

12+ Chapters masking exponents, logarithms, radians, the pythagorean theorem and different topics necessary to any student
A bonus bankruptcy on Euler's formulation, tying the above strategies together
PowerPoint slides for all diagrams utilized in the chapters
Who's it for?

Students: shop hours of frustration -- get issues as I want they have been defined to me!
Teachers: Get top of the range academic fabrics & principles in your lesson plans.
Self-learners: comprehend matters at a conceptual point that's hardly mentioned in textbooks
What's the benefit?

Get a professionally designed, easy-to-read PDF
Browse chapters in your iPhone, Kindle or different PDF-reading machine (no DRM!)
Learn for your self, or as a present in your favourite pupil, instructor, or autodidact.
Save hours/years of frustration whilst studying math:
Never sooner than have I heard one of these transparent and concise clarification of the fundamentals... I heavily can have kept hours of hair-pulling in collage had I had entry to this text years ago.

I have numerous books on calculus (Calculus for Dummys, Math for the hundreds of thousands, and so on. and so forth. - by no means was once capable of learn them) yet your clarification is what i've got wanted these kinds of years.

This is a brilliant rationalization! i'm forty nine years previous and feature by no means identified what e is all approximately. it really is due to your article that i am getting it and now can clarify it to my son who's thirteen years old...

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Extra resources for Math, Better Explained

Sample text

We don’t need more proofs; we need interesting, intuitive results. e. between colors or movie preferences) Not too bad for a 2000-year old result, right? This is quite a brainful, so I’ll finish here for today (the previous article has more uses). Happy math. Math, Better Explained 4 Pythagorean Distance 33 of 144 I t’s an obvious fact that circles should have 360 degrees. Right? 5 Title:UnderstandingRadians Understanding Radians Wrong. Most of us have no idea why there’s 360 degrees in a circle.

Now divide by the distance to the satellite and you get the orbital speed in radians per hour. • Sine, that wonderful function, is defined in terms of radians as This formula only works when x is in radians! Why? Well, sine is fundamentally related to distance moved, not head-tilting. But we’ll save that discussion for another day. Radian Example 1: Wheels of the bus Let’s try a real example: you have a bus with wheels of radius 2 meters (it’s a monster truck bus). I’ll say how fast the wheels are turning and you say how fast the bus is moving.

3, and 0 “exist”, let’s assume some number i exists where: That is, you multiply i by itself to get -1. What happens now? Well, first we get a headache.  New relationships emerge that we can describe with ease. You may not believe in i, just like those fuddy old mathematicians didn’t believe in -1. New, brain-twisting concepts are hard and they don’t make sense immediately, even for Euler. But as the negatives showed us, strange concepts can still be useful. Math, Better Explained 6 Imaginary Numbers 46 of 144 I dislike the term “imaginary number” — it was considered an insult, a slur, designed to hurt i’s feelings.

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