Math, BetterExplained captures key insights as a readable, printable ebook. It's not another math course -- experience the "aha!" moments that make ideas actually click.

You could never forget what a circle is for, right? I want you to have the same realization about e, the natural log, imaginary numbers, and more.

What's inside?

• 12 chapters drawn from the blog articles, essential to any student:
  • Contents
  • Introduction
  • 1. Developing Math Intuition (Chapter preview)
  • 2. The Pythagorean Theorem
  • 3. Pythagorean Distance
  • 4. Radians and Degrees
  • 5. Imaginary Numbers
  • 6. Complex Arithmetic
  • 7. Exponential Functions & e
  • 8. The Natural Logarithm (ln)
  • 9. Interest Rates
  • 10. Understanding Exponents
  • 11. Euler’s Formula
  • 12. Introduction To Calculus
  • Afterword
• A bonus chapter on Euler's Formula, tying the above concepts together
• Print-quality design made for easy onscreen reading & printing
• PowerPoint slides and images for all diagrams used in the chapters (deluxe version)

Who's it for?

• Students: Save hours of frustration -- get things as I wish they were explained to me.
• Teachers/Home Schoolers: Get high-quality educational materials & ideas for your lesson plans.
• Self-learners: Go back and understand concepts at a level rarely discussed in textbooks or classrooms.

Testimonials

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.

Your book is extremely well written – if only all books on this subject matter could be written in this style. I utterly enjoy reading your book. Thank you.

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...

Buy Math, BetterExplained

	Standard	Premium	Site License
PDF for computer, iPhone, or e-reader
Print-quality layout & design
Bonus chapter on Euler's Formula
PowerPoint slides for all diagrams
Extracted image files for all diagrams
Site license for 100 users			(Just $2/copy!)

The order goes through Paypal, but an account isn't required. And if you aren't satisfied, contact me for a refund at any time.

Projects like this help transform BetterExplained into a sustainable venture. Readers have asked if they can donate; instead, I'd prefer you buy the ebook for yourself, a relative, or a friend. Thanks for your support!

But that’s all me, me, me.

My friends at slinkset let you make a custom news site to share, vote and comment on articles. I’ve always enjoyed the per-article discussions in the comments here, but they’re constrained to specific topics — why not share any link or topic?

Enter links.betterexplained.com. It’s a repository of links and explanations that gave you that “aha” moment. What can you do?

• Read good explanations. When I’m learning a new topic I’ll privately save delicious bookmarks. Now, we can share articles that make us go “aha!” with everyone.
• Learn how to communicate well. When I find an insightful post, I think “That was awesome. How can my articles be like that?”. Usually it’s a combination of style, empathy with the reader, live examples, and useful analogies that make a subject click. Seeing a job well done is a wonderful learning tool. (If you want to learn how to write, read.).
• Share your explanations. Several readers have asked to contribute articles to the site. Right now, I’m the editing bottleneck and can barely keep up with my own posts — avoid this slowpoke and post your story! Any reader can enjoy your epiphanies and give you feedback.

I’ve put up some of my favorite articles and hope you will do the same (you can contribute anonymously). Happy math, science, business, programming…

• James: Learn right, not rote (1st place: $50 Amazon Gift Certificate)
• Matt: Because ignorance is overrated (2nd place: $25 Amazon Gift Certificate)
• Mark: The stuck stops here (3rd place: $25 Amazon Gift Certificate)

Congratulations guys! There were numerous honorable mentions — I was impressed by how you conveyed ideas in so few words:

Humor

• slashdotter: Xor HUH to HAH. (XOR is a programmer’s way to selectively “toggle” data; you can imagine transforming just the U to an A. It’s a nice bit of geek humor).

Inspiring Quotes

• lkurts: Pauca sed matura (few but ripe) — Carl Friedrich Gauss. (I like the quote, and it helps remind me to focus on quality, not quantity)
• nandan: Nothing in life is to be feared. It is only to be understood. — Marie Curie. (I agree — many of our limitations in learning are due to fear).

Nice Rhymes All of these entries had a nice ring to them.

• Joel: From complexity and cacophony to simplicity and epiphany.
• Mark: “The Explanation Station” and “BetterExplained means better retained”.
• Jeff: Confusion diffusion.

Capturing The Philosophy Interesting thoughts on that “a ha” feeling.

• Cheeaun: Learning hurts. Explanations don’t.
• Patrick: Insight, in hindsight.
• Labeaux: …and the lightbulb in my brain turned on!
• Joel, Nasir: “Explanations for human beings” and “Explanations for the rest of us”
• Brad: Have you had your “a ha” today?

Thanks to everyone who participated (browse entries on the contest page). It helped me learn what elements of the site you enjoy, and what themes to focus on. Stay tuned for the next article, on complex numbers.