Discover in depth the 10 principles higher mathematics insiders use to optimize their learning and enhance their experience. 

Most guides on mathematical learning are either too shallow, too narrow or too K-12, so we decided to write a better one ourselves.

Yes! This is what I've been looking for years!

So here's what happened...

As a digital publisher of higher mathematics, we're constantly working on  new educational resources from a diverse range of mathematical topics.

However, in doing so, we also occasionally run into the funky situation of greatly exciting one while sorely alienating others.

So that's when we went to the drawing board with the following question:

"What's the one topic we can work on to bring all math enthusiasts together?"

And the answer? Yep. You've got it.

It's mathematical learning.

And with that, our team went straight into working mode...

The Definitive Guide to Learning Higher Mathematics

However. as we delve deeper into the researching process,

We realized that there is actually not a lot of resources when it comes to higher math learning!

Instead, what we did find are stuffs such as:

  • 1-page articles on general tips and tricks for studying K-12 math
  • Popular guides on introduction to proof and problem solving 
  • Research papers and theses on the state of mathematical education
  • Essays by educators reflecting on the various teaching methodologies

 Essentially, we weren't able to find a guide on math learning that is:

  • Well-structured
  • Well-researched
  • Higher-math-focused
  • Succinct
  • Original
  • Principle-based
  • Practical
  • Insightful
  • Wide in scope
  • Actionable

So, we decided to do the obvious thing...

— which is to write the guide ourselves.

And then, after 5 months of:

  • Researching
  • Brainstorming
  • Redrafting
  • Designing
  • Other technical undertaking...

We finally managed to compile our research and experience into a guide similar to the one described above...

The Definitive Guide to Learning Higher Mathematics

 — where we reveal 10 powerful, rarely-elaborated principles on higher mathematical learning.


The Definitive Guide to Learning 
Higher Mathematics

 — 10 Principles to Mathematical Transcendence

  • A 10-chapter, full-length 85+ page eBook — with each chapter focusing on a fundamental principle of mathematical learning.
  • A dense, primarily non-technical guide in higher mathematics learning — where structured learning principles meet actionable tips to saving years of wasted and misguided effort.
The Definitive Guide to Learning Higher Mathematics

So just what kind of principles and concepts are we talking about?

Well, here's the table of contents for the record:

The Definitive Guide to Learning Higher Mathematics
The Definitive Guide to Learning Higher Mathematics
The Definitive Guide to Learning Higher Mathematics

In particular, for each chapter:

  • We would introduce a learning principle by exploring the research and the rationale behind it.
  • We would then elaborate on how they can be adapted to the learning of higher mathematics — through a series of actionable tips, tricks and strategies.
  • From time to time, we would throw in some ancillary information along the way to fill in the gaps. 
  • And when all is done, we would conclude the chapter with a summary module.

In fact, even if we've structured the guide to be primarily non-technical, we've also taken care to include a wide range of examples from fields such as:

  • Calculus
  • Real analysis
  • Complex analysis
  • Linear algebra
  • Number theory

(to be sure, these are examples that are covered either before or during the first year of a typical math undergraduate study.)

The Definitive Guide to Learning Higher Mathematics

If anything, what's interesting is that most of the ideas and concepts featured in this guide are research-backed,

yet framed in an entirely original way.

These include:

  • Some powerful pedagogical concepts not made explicit elsewhere
  • Some not-so-obvious and controversial "cognitive buzzwords"
  • Other cognitive concepts and techniques coined by your truly
The Definitive Guide to Learning Higher Mathematics

In fact, you might even find some of the advice there counter-intuitive or shocking!

Heck, it might even change your conception of the role of a mathematical educator in our society!

The Definitive Guide to Learning Higher Mathematics
The Definitive Guide to Learning Higher Mathematics

And that's not to mention some of the modules we've introduced throughout the guide such as:

  • Definition modules
  • Pro-tip modules
  • Did-you-know modules
  • Famous mathematicians and their quotes

And some other notable features such as:

  • Extensive annotations
  • Illustrative diagrams
  • Linkable table of contents
  • 9-page linkable index
  • Other design-intensive features...

And of course. The overview wouldn't be complete without mentioning some of the memorable lines in the guide such as:

"Taking responsibility in choosing our own math materials is better than getting struck with resources which we don't find particularly useful."

Translation? We've tried our best to turn this guide into some sort of piece of art — or at the very least a unique guide of its genre!

The Definitive Guide to Learning Higher Mathematics
The Definitive Guide to Learning Higher Mathematics

In fact, this is the guide we wished we've had read — before starting our journey in higher mathematics

Alright. Time for some questions...

What are the pre-requisites for this guide — if any?

How self-sufficient / self-contained is The Definitive Guide to Learning Higher Mathematics?

How come this project took 5 months to complete?

How is this guide different from other math learning guides on the market? 

Will this guide teach me to become a better problem solver?

Will this guide make me a better mathematical thinker?

Will this guide teach me any new mathematics?

Will this guide train me to become a better mathematician — amateur or professional-wise?

Get the most out of higher mathematics with the Definitive Guide to Learning Higher Mathematics today.

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The Definitive Guide to Learning Higher Mathematics
The Definitive Guide to Higher Mathematics — Cover
P.S. — Congratulation! Looks like you've just made it through the end of our rambling! For any question, please feel free to reach us at [email protected] and we would be more than happy to help you out!