Frustrated With Unhelpful, Mechanical Explanations?
I was too. I've spent years looking for the intuition behind the math concepts that seem to appear in every class, whether exponents or the Pythagorean Theorem.
Slowly, over a decade, I've condensed the key insights (and the analogies that explain them) into friendly, clear, easy-to-read lessons.
I want you to enjoy the Aha! moments in math, moving beyond memorization to experiencing an idea firsthand. Any idea becomes intuitive when explained correctly, and you will unlock your intuition for math.
“Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in language comprehensible to everyone.” — Albert Einstein
What You Will Learn
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How To Grasp Math Concepts
The theme of the book is that the intuition-first approach lasts, and ignites a love of learning. Get the specifics of how to apply this strategy.
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The Pythagorean Theorem
我们一直忽略了这个定理的意义。不是关于三角形，而是关于任何形状。The applications go far beyond geometry, from comparing movie preferences to colors
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Exponents and Logarithms
Exponents show up everywhere, from interest rates to bacteria colonies. But why e? What makes the natural log natural? Skip blind memorization and truly visualize the nature of exponents.
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Imaginary and Complex Numbers
一个负数怎么会有平方根呢?“虚构的”是什么意思?利用旋转的类比，这个潜在的令人困惑的话题就显得恰如其分了。
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Euler's Formula & Calculus Intro
Euler's Formula is the jewel of math, linking exponents, radians, and imaginary numbers. And yes, it's understandable. The last chapter introduces calculus with the intuition-first approach.
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Radians and Degrees
What are radians, and why are they used in so many formulas? Learn to see radians as change of perspective, from the observer to the mover.
Join 4000+ Happy Customers
I purchased your Math, Better Explained recently. Your explanations have blown me away totally. Like you, I work better if I understand what I am working with. Thank you for the wonderful explanations - I am really enjoying them. It is Wow after Wow.
Great way to start cultivating math curiosity/intuition. This book is short, sweet, and to the point... Even if you have struggled with the concepts highlighted in the book, Kalid has a way of hitting the reset button in your mind. You let go of your past frustration and start seeing things from the p.o.v. of an open-minded novice.
Math has no meaning to many people, it's just pointless shortcuts. This book makes that different.
Sometimes important math concepts are belittled because they are too abstract. This book shows that abstract concepts can be explained.
Detailed Review From MindYourDecisions.com
Beautiful Illustrations
The graphics are both creative and informative and definitely one of the best parts of the ebook.
Casual Tone and Funny
这绝不是教科书的替代品。你也不希望这样(我的意思是，谁会为了乐趣而阅读教科书呢?)
I think aboutMath, BetterExplainedas having a friend tutor you in a subject. The language is going to be casual and the overall mood light-hearted.
Clever and Practical
Lessons For Lasting Intuition
The ebook was made with care, from a print-quality layout, to vivid diagrams, and analogies that help ideas click in seconds.
A lot of math lessons seem to present detail after detail, without an emphasis on visualization or lasting understanding.
这些经验教训是基于数百万读者阅读的文章，并随着数以千计的评论和直接反馈而演变。12强赛积分榜最新Here's what's you'll get in the course:
- 12-chapter eBook with a professional layout (sample)
- 1. Developing Math Intuition
- 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
- 12 video lessons walking through each chapter
- Original PowerPoint slides and images for all diagrams
- 3-part interview with learning expertScott H Youngon study techniques
- Math concept worksheet to avoid common pitfalls, drawn from frequently asked questions for each topic
Instant Download, For Any Device
The ebook is available as an instant download and can be read anywhere, including your computer, iPhone, iPad or Kindle. The PDF can be printed, and looks great.
对于技术人员来说，所有的文件都没有数字版权管理。
Frequently Asked (& Imagined) Questions
我需要什么数学背景?
The book is written for a general high-school audience (you don't need to be a math wizard). The focus is on visualizing concepts so they click, not dry proofs.
主要的先决条件是熟悉中学代数，跟随一个概念。I'm a rocket scientist. Do I need this?
数学必须内化，而不仅仅是在智力水平上理解，这对日常使用数学的人来说更加重要。
Can you intuit why an imaginary number raised to an imaginary power can be a real number? The goal is to work out this question in your head, without relying on a memorized formula.Why did you write this book?
我在学校里一直很喜欢数学。但在我大学的第一学期，我几乎放弃了，因为我忍受了一门可怕的课程。
While cramming, a few epiphanies ignited my understanding and enjoyment, and I was able to internalize (not memorize) the concepts. I want to share that understanding with you, because I know math can be taught better.
这和其他数学课或数学书相比怎么样?
I wrote this course because despite years of math lessons with the best schools and textbooks, Istilldidn't have the intuitive understanding I needed.
The resources I've seen seem to march through details onhow& to do math without explaining thewhy.如果我不喜欢这本书怎么办?
That's no problem at all. Justcontact me我很乐意立即无条件退款，即使是在您购买一年后。
I created the explanations I dearly wish I'd found in school, but completely understand if they aren't a fit.Can I email you with questions?
你的赌注。If you purchase the course (at any level), feel free tocontact me与任何主题所涵盖的问题。
Grasp The Essentials of Math Today
Basic Edition
$29
eBook Only
- 12-Chapter eBook (PDF, ePub, Mobi)
Complete Edition
$99
eBook, Videos, Slides
- 12-Chapter eBook (PDF, ePub, Mobi)
- Original PowerPoint Slides & Images
- 12 Video Lessons (2+ hours)
- Concept Worksheet
- 1 Hour Interview with Scott H Young
The secure checkout accepts both a credit card and PayPal.
About The Author
Kalid Azad graduated from Princeton University with a degree in Computer Science. He has been writing professionally for over a decade, from chapters in the best-selling "How to Program" textbooks (from Deitel, Inc.) to technical whitepapers for Microsoft, Corp.
Kalid has tutored math since high school (99% percentile for SAT/GRE/GMAT) and is enamored with finding the clearest, most intuitive insights on seemingly-complicated topics.
BetterExplained每月有45万访问量，被指定为几十门大学课程的阅读，并被《科学杂志》、《纽约时报》、《大西洋月刊》、O’reilly Radar、《科学美国人》和美国国家科学院的博客引用。
