Uncover the truth behind the origins of calculus and how to become an expert in just 5 days.

This radical new perspective reveals calculus isn’t about infinity or limits - its about contrasting connections between slope and area. This flipped understanding transforms calculus into a rational language for modeling real-world change.

The mean value theorem (MVT) is the key to unlocking calculus. 

Mainstream calculus lost sight of the MVT's central role due to misunderstanding core concepts like:

• Arithmetic means
• Area/volume measures
• The the concept of number

Without grasping these foundations, academics missed the MVT's profound simplicity. Their flawed limit theories and confused infinitesimals obscured the innate links made clear by the MVT.

The MVT shows that the derivative at a point is the arithmetic mean of nearby slopes. 

This provides the bridge between differentiation and integration in a single identity, rather than disjointed theorems.

Even worse, trace calculus back 400 years you'll uncover a fateful assumption that locked calculus in an alternate universe completely removed from rationality. 

• It was the decision to build calculus on "real number" abstractions instead the geometric mean-value theorem.

  

  

Shown above: Encyclopedia Britannica exposes the connection yet appeals to real numbers.

-Does this really make sense to you? 

or help you in any way?

The mistake was embedding calculus in a theoretical number system that encouraged manipulation of symbols rather than quantifiable measurements. This missed the motivating insight behind calculus - comparing magnitudes to reveal coordination of change.

The fundamental purpose of calculus could have been preserved by redeveloping it through the use of reasoning about:

• ratio 
• proportion
• geometric relating

Once mathematics accepted the intuitive belief of real numbers, the rational element got pushed out.   

Limits, infinitesimals, and continuity become the doorway to a house of mirrors. The essence of calculus as a language for representing tangible relationships is lost.

    But what if calculus could be rebuilt from the ground up using natural rational reasoning wired into our brains?

Turns out it can - by focusing on comparisons rather than absolutes.

New Calculus returns calculus to its rational roots. Concepts like derivatives and integrals are transformed into common sense geometric relating. Impenetrable formulas dissolve into manipulable visual models.

Traditional calculus is a cryptic abstraction full of:

• perplexing epsilon-deltas
• infinite series
• continuity proofs
  
  This made calculus impossible to understand.
  
  It feels detached from practical meaning and applications.
  
  But it doesn't have to be this way.

In this free 5-day email course I will... 

• Guide you step-by-step through the key ideas of New Calculus and how it came to be.
•  Uncover the simplicity behind concepts like derivatives, integrals, and unboundedness.
• Transform your understanding of calculus with applicability in the real-world.

   Are you ready to change how you think about mathematics? 

Join the course now and let's explore this refreshing perspective together!

Calculus is one of the crowning achievements of human thought. But for centuries it has confounded even the most brilliant minds with its abstract symbols and infinite paradoxes. What went wrong?

Revisiting the 400-Year-Old Calculus Dilemma

For centuries, mathematicians struggled to find rigorous foundations for calculus. 

• Giants like Newton and Leibniz developed groundbreaking techniques, yet neither fully understood why their methods worked. This lack of rational explanation allowed contradictions and paradoxes to persist, miring calculus in controversy.
• Even into the modern era, orthodox limit theory failed to deliver the concrete reasoning needed to dispel doubts.
• Mystifying concepts like infinitesimals and arbitrary 'closeness' just obscured the essence of calculus further.
  

Genius but Flawed Ideas of Newton and Leibniz

• In their efforts to determine the slopes of tangent lines, Newton and Leibniz invented novel methods like "fluxions" and differentials.
• However, none of them were fully aware of the explanations behind why their shaky experimental methods produced consistent findings.
• Deductive rigor was lacking, which opened the door to criticism that persisted for generations.
  

The Struggle for Logical Foundations

•  Successors like Cauchy tried formalizing calculus through limits, but the intrinsic gaps remained.
• Contradictions around infinitesimals persisted, as critics pounced on the lack of concrete reasoning.
• Orthodox theory bred more paradoxes instead of dispelling them.

Calculus Origins in Ancient Greek Geometry

• The early emphasis on curves and areas by Greek geometers in the context of calculus was a forward-thinking idea.
• The strong connection between geometry and fundamental calculus concepts played a crucial role.
• If this approach had persisted, it might have helped prevent certain paradoxes. However, calculus ultimately went in a different direction.
  

Gabriel's Calculus Breakthrough

• In the 21st century, John Gabriel achieved what generations failed to - a calculus free of contradictions.
• Gabriel succeeded where Newton and Leibniz fell short, providing calculus' first rationally unimpeachable formulation. His New Calculus based on coordinated geometry restored the deductive certainty missing since Ancient Greek times.
• The 400-year dilemma was finally resolved through principle-based reasoning, eschewing the flawed abstractions that plagued mathematicians for centuries. 

See what others are saying about the New Calculus:

Through years of learning mainstream calculus, I became frustrated with how little rational thought came from the teachers' instructions. I knew there had to be a clearer way. One that is grounded in common sense and reasoning.

That’s when I stumbled upon an obscure pedagogy that revealed a totally different essence hidden beneath calculus' complex symbols. One that is directly rooted in our everyday understanding of ratios, comparisons, and coordination.

This discovery led me to John Gabriel - teaching his breakthrough discovery called New Calculus that reframes calculus in terms of comparing magnitudes rather than manipulating symbols.

New Calculus returns calculus to its geometric roots as a descriptive language for modeling interconnected systems and dynamic change. Anyone can comprehend it with clear thinking.

- Chase Kwasniewski, mathematics researcher

After realizing that I am absolutely ignorant about maths, and that in school they have not taught us anything properly, I have studied mathematics mostly on my own, online, I started with Khanacademy.

Real Analysis proved to be a stumbling block - I could not understand the real numbers and how can the "infinite decimals" be a fixed "real number".

I tried to clarify these aspects by looking into more books, but all of them were ignoring the very concept of 'number' I started asking myself "what is a number??".

I was not able to arrive at a clear satisfying answer. Only had a (very) vague feeling for what it may be, and I proceeded studying further, but never forgetting that these things are not clear to me and that I am postponing them for later clarification.

I then studied a bit about what the mainstream derivative and integral are supposed to be, I understood the concept, but not deeply (of course, otherwise I would have noticed that it is flawed).

Seeing how difficult chapters on epsilonics are (in some books about Series), I thought it is going to take at least a few years to really understand all this stuff deeply and not just do superficial parroting.

So I postponed all real analysis studies, I thought I should first understand and practice geometry. After practicing for some time - and being lead astray by some mainstream books - by chance I found John Gabriel's youtube channel, which clarified many things.

- Andy M

I started to take an interest in New Calculus when I became frustrated with how mathematics seemed to complicate engineering with concepts like infinity and complex numbers, which didn't seem to have much connection to the real world.

The New Calculus has provided me with well-thought concepts that no one had realized before, and it has really helped me to understand mathematics and its connection to the real world, which has also helped me in my engineering studies.

Many problems in mainstream maths has ruined physics and engineering, and just because a mainstream concept works, it doesn't mean that it is a well-formed concept. For example, the concept of complex numbers is often used to solve signal systems in electronics.

That is why I would like to be a part of this community, and hopefully, I can share the knowledge that I have gained here with my colleagues and everyone around me.

- Reyhan, university student

My name is Rudy Land and I am an admirer of your work and your courage. First of all I must excuse myself; since English is not my first language, trying to write these words take extra effort and I apologize for any mistakes that I make.

I have to start by saying that you are amazingly courageous in taking as the objective of your life, the correction of a mistake that many people don't want to see corrected. I first found your blog a couple of months ago and I must admit that at first I didn't believe in your claims. As an amateur and recreational mathematician I didn't know what to make of someone who claimed everything I had learned was false, or better put, a scam. I am not talented in mathematics matters, so I just assumed that all the difficulty I had understanding some concepts in mainstream calculus (or how I say it now, "fakeulus") was due to my inability with the subject.

But when I started studying your work I got really interested. It didn't take long to see that it was something impossible to ignore if people actually read about it. In fact, for the first time in my life I understood some concepts that had always been a problem for me to understand, and for that I have to thank you.

I also have to say that you should keep doing what you are doing. I know that people are not going to acknowledge your ideas without a fight, and that might be tiring, but geniuses are not easy to come by, and your contributions are eventually going to become mainstream and help humanity progress, I hope, so keep fighting.

For the last few weeks I have been showing your ideas to some friends that are interested in mathematics, and some of them were actually able to understand the depth of your work. Unfortunately, a close friend of mine is a mathematician and still believes in the scam that is mainstream mathematics. He's a college professor and I would like to show him some of your work. I have briefly talked to him about New Calculus, but sadly he didn't give too much attention.

Here's my request: I would like to know if you have any introductory material made to bridge the transition between fake calculus and New Calculus, to make it more accessible to people who could eventually be interested in the subject. (I must say that when I present him your work I won't say it is a new and better formulation of calculus, otherwise he would doubt it at first sight. I will try to make him interested in the subject before saying how revolutionary it is. I have no intention of tricking him into giving New Calculus a try, but this might be the only way he gives it a chance.)

Thank you again for your work, and best regards.


- Rudy Land

In this free 5-day email course, you'll uncover the refreshing rationality of calculus through the lens of geometric relationships. The 400-year mistake will be undone right before your eyes.

- Join now to experience this revelation - a rediscovered calculus providing the tools for understanding our interconnected world as never before.