Math, Better Explained by Kalid Azad

By Kalid Azad

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

What's contained in the ultimate ebook?

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

Students: retailer hours of frustration -- get issues as I want they have been defined to me!
Teachers: Get fine quality academic fabrics & principles on 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 scholar, instructor, or autodidact.
Save hours/years of frustration whilst studying math:
Never prior to have I heard the sort of transparent and concise rationalization 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 a number of books on calculus (Calculus for Dummys, Math for the thousands, and so on. and so on. - by no means was once capable of learn them) yet your rationalization is what i've got wanted these kinds of years.

This is a smart rationalization! i'm forty nine years outdated and feature by no means identified what e is all approximately.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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Additional resources for Math, Better Explained

Sample text

Because radians are in terms of the mover, equations “click into place”. Converting rotational to linear speed is easy, and ideas like sin(x)/x make sense. Even angles can be seen from more than one viewpoint, and understanding radians makes math and physics equations more intuitive. Happy math. Math, Better Explained 5 Understanding Radians 42 of 144 6 Title:Imaginary Imaginary Numbers Numbers I maginary numbers always confused me.  Deal with it.  Just wait until college. Gee, what a great way to encourage math in kids!

Strictly speaking, radians are a ratio (length divided by another length) and don’t have a dimension. Practically speaking, we’re not math robots, and it helps to think of radians as “distance traveled on a unit circle”. Using Radians I’m still getting used to thinking in radians. But we encounter the concept of “mover’s distance” quite a bit: Math, Better Explained 5 Understanding Radians 38 of 144 • We use “rotations per minute” not “degrees per second” when measuring certain rotational speeds.

How could you have less than nothing? Math, Better Explained 6 Imaginary Numbers 44 of 144 Negatives were considered absurd, something that “darkened the very whole doctrines of the equations” (Francis Maseres, 1759). Yet today, it’d be absurd to think negatives aren’t logical or useful. Try asking your teacher whether negatives corrupt the very foundations of math. What happened? We invented a theoretical number that had useful properties.  It was a useful fiction. Rather than saying “I owe you 30″ and reading words to see if I’m up or down, I can write “-30″ and know it means I’m in the hole.

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