Math, Better Explained by Kalid Azad

By Kalid Azad

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

What's contained in the ultimate ebook?

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

Students: store hours of frustration -- get issues as I want they have been defined to me!
Teachers: Get top quality academic fabrics & principles on your lesson plans.
Self-learners: comprehend topics at a conceptual point that's not often 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 equipment (no DRM!)
Learn for your self, or as a present in your favourite scholar, instructor, or autodidact.
Save hours/years of frustration whilst studying math:
Never prior to have I heard this sort of transparent and concise clarification of the fundamentals... I heavily may have stored hours of hair-pulling in collage had I had entry to this text years ago.

I have a number of books on calculus (Calculus for Dummys, Math for the thousands, and so on. and so on. - by no means used to be capable of learn them) yet your clarification is what i've got wanted these kind of years.

This is a smart rationalization! i'm forty nine years previous and feature by no means identified what e is all approximately. it's 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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Sample text

That’s absurd! It seems crazy, just like negatives, zero, and irrationals (non-repeating numbers) must have seemed crazy at first. There’s no “real” meaning to this question, right? Wrong. So-called “imaginary numbers” are as normal as every other number (or just as fake): they’re a tool to describe the world. 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.

And if you don’t, well, I’m afraid math doesn’t toot your horn. Sorry. Trigonometry is great, but complex numbers can make ugly calculations simple (like calculating cosine(a+b) ). This is just a preview; later articles will give you the full meal. Complex Numbers Aren’t That was a whirlwind tour of my basic insights. Take a look at the first chart — it should Math, Better Explained 6 Imaginary Numbers 58 of 144 make sense now. There’s so much more to these beautiful, zany numbers, but my brain is tired.

We’ll approach imaginary numbers by observing its ancestor, the negatives. Here’s your guidebook: Math, Better Explained 6 Imaginary Numbers 43 of 144 It doesn’t make sense yet, but hang in there. By the end we’ll hunt down i and put it in a headlock, instead of the reverse. Really Understanding Negative Numbers Negative numbers aren’t easy. Imagine you’re a European mathematician in the 1700s. You have 3 and 4, and know you can write 4 - 3 = 1. Simple. But what about 3-4? What, exactly, does that mean?

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