Don't cut your nose off to spite your face. Just because your idiotic lecturer told you I am a joke, does not mean it is true. They are the JOKE!
These mainstream mathematics academics are vile creeps - they are dishonest to the core, ignorant beyond belief and incorrigibly stupid. Their beliefs are part of their cult of mainstream mathematics academia.
It's a shame these evil people get away scot-free after ruining my life. I hate them and cannot forgive any one of them.
The bogus mainstream calculus is inconsistent. Mainstream morons want to have derivatives at points of inflection, but there are no tangent lines at points of inflection.
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https://www.youtube.com/watch?v=D81DsTvm5sg
The difference between general measure and factor measure:
https://www.academia.edu/104575302/The_difference_between_general_measure_and_factor_measure
What exactly is a factor in mathematics:
https://www.academia.edu/105057161/What_exactly_is_a_factor_in_mathematics
Theory of fractions, arithmetic and algebra from Book V:
https://www.academia.edu/69488136/Theory_of_fractions_from_Book_5_of_Elements_for_Dummies
Teach your toddler the basic operations of arithmetic:
https://www.academia.edu/112005008/Unlocking_the_Mystery_of_Numbers_Fractions_and_the_Four_Basic_Arithmetic_Operations_A_Toddler_Friendly_Guide_Prerequisite_knowledge_Ability_to_count
h is ALWAYS a factor of f(x+h)-f(x):
https://www.academia.edu/111183695/h_is_always_a_FACTOR_of_f_x_h_f_x_in_the_finite_difference_quotient_f_x_h_f_x_h
Learn about the Holy Grail of Calculus:
https://www.academia.edu/105576431/The_Holy_Grail_of_Calculus
Download the best book ever written on the number concept:
https://www.academia.edu/105399167/The_Ultimate_Book_of_Numbers
Get the true Origins and History of Calculus:
https://www.academia.edu/106488069/The_Non_fictional_Origins_and_History_of_Calculus
Discover closed -form trigonometric functions never realised before:
https://www.academia.edu/109334669/Ancient_Greek_trigonometric_formulas_better_than_anything_ever_known
Follow me on Academia.edu:
https://independent.academia.edu/JohnGabriel30
Donate here:
https://gofund.me/af8a5312
All my YouTube videos are backed up here:
https://odysee.com/@NewCalculus:1
The scum of YouTube are constantly threatening and looking for excuses to shut down my channel.
Want to get instant updates for the newest math around? Join our discord server! https://discord.gg/CJ9Ks3WerR
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https://www.youtube.com/watch?v=6UD5MFmiiq0
In the bogus calculus there are inconsistencies using its definition of tangent line. While it is required for a derivative to have a tangent line, there are cases when there is a tangent line (according to bogus calculus) but NO derivative. An example is: (x-1)^(1/3)+1
Nothing is lost by not having derivatives at points of inflection.
You will often hear idiot academics claiming that "We want a derivative at a point of inflection."
Well, mathematics is not about what you want, but what are the facts.
The correct definition of tangent line is:
A finite line which meets a non-linear curve in one point, extends to both sides of the point and crosses it NOWHERE.
Thankfully the Ancient Greeks and Newton understood these things correctly otherwise you wouldn't even have your bogus calculus!
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https://www.youtube.com/watch?v=qL8NpcEu1Fw
No tangent line is possible at points of inflection. In this video I prove to you that the mean value theorem does not care about inflection points, that is, there is no derivative at inflection points possible.
The New Calculus handles inflection points correctly and consistently, unlike your bogus mainstream calculus.
Link to applet used in video:
https://drive.google.com/open?id=1brAnuZEF0rwj-sZG9D41XDAXO10tCDqg
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https://www.youtube.com/watch?v=0kyXjoJuUKQ
Synopsis: The second belief is required so that moronic set theorists can build sets from the non-existent empty set.
Download the most important mathematics book ever written here - it's free!
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO/view
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https://www.youtube.com/watch?v=3sgym7CJmBo
Synopsis: I discuss the proof of proposition 1 which Archimedes assumed. The actual proof was part of a book on conics which predated Euclid and was lost in the great fire of the library in Alexandria, Egypt along with so many other texts.
I provide a geometric proof because none of the theorems of calculus were known to Archimedes over 2000 years ago.
Download the most important mathematics book ever written here. It's free!
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO/view
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https://www.youtube.com/watch?v=AyZVb-n4yO8
I produced the first rigorous solution to the tangent line problem, not Newton or Leibniz or any of the lackeys and fools who came later.
Newton and Leibniz were groping around in the dark using brute force methods that made sense "intuitively" (very dangerous way of doing things!) but lacked any rigour. Their methods are proof that they did not understand calculus at a sufficiently profound level. The connection between derivative and integral remained hazy until my New Calculus:
drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
Link to where Prof. Don Redmond (redmond@siu.edu) claims my theorem was known:
https://groups.google.com/g/sci.math/c/LYEhpApA0sg/m/dM-GuQW0CAAJ
My historic geometric theorem:
https://drive.google.com/file/d/1RDulODvgncItTe7qNI1d8KTN5bl0aTXj
Applet to verify that it works on any smooth function:
https://drive.google.com/file/d/1ON1GQ7b6UNpZSEEsbG14eAFCPv8p03pv
Greek version of applet:
https://drive.google.com/file/d/120g3VfFFqAzyZWHzHljXZYuWYpl5kUDB
I included the above link because a Greek professor of mathematics (Mihalis Lamvros) dared to call me a "crank". See here: https://www.mathematica.gr/forum/viewtopic.php?f=9&t=65422
How it fixes the bogus mainstream definition of integral:
https://drive.google.com/file/d/1uIBgJ1ObroIbkt0V2YFQEpPdd8l-xK6y
Labarre's Intermediate Analysis:
https://drive.google.com/file/d/1aABeT9e57630Bq90R6pJaCN8wBaNvuup
On page 118, Labarre makes his first attempt at defining "differentiability" using "neighbourhoods". What idiot mainstream math academics still haven't come to terms with, is that you can't prove differentiability without assuming it. In 6.2, the fool Labarre uses a Taylor expansion. To say "Let f be differentiable" is absolutely circular. There he writes:
f(p) = f(q) + f'(q) (p-q) + a(q,p) (p-q)
Implies ( f(p)-f(q) ) / (p-q) = f'(q) + a(q,p)
If we let p=x+h and q=x then:
( f(x+h)-f(x) ) / h = f'(x) + a(x,x+h)
which is decidedly NOT the same as my identity:
(f(x+h)-f(x) )/h = f'(x) + Q(x,h)
since x =/= x+h.
But small details aside (which mainstream academics normally miss because they do not pay attention to detail!), Labarre's text is full of errors of circularity. That Labarre noticed the extra term is the difference in slope was pure accident because if he realised its importance, he would have made the connection to the definite integral. He did not!
Important: You CANNOT use ANY of the methods of calculus without assuming a SMOOTH function, meaning there that over any given interval, we call a function smooth IF AND ONLY IF, it is possible to produce no more than one tangent line at any point in the given interval, where tangent line is defined sensibly (and not circularly as in the mainstream) as a line that meets in one point, extends t
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https://www.youtube.com/watch?v=9S16hNi3Cj0
To be prepared, it is recommended that you read the following article a few times in order to increase the benefit of watching these videos:
www.academia.edu/45486033/What_is_time
In part 3, we define **time units** and how we can formulate these units. However, in order to understand, you WILL NEED to know how we arrive at the concept of unit and number correctly:
https://www.academia.edu/89274499/What_exactly_is_a_rate
Can numbers be derived from set theory?
https://www.academia.edu/116832399/Can_numbers_be_derived_from_set_theory_and_ZFC_axioms
Download the best book ever written on the number concept:
https://www.academia.edu/105399167/The_Ultimate_Book_of_Numbers
Link to critique of Claes Johnson:
https://claesjohnsonmathscience.wordpress.com/article/did-einstein-not-understand-math-yvfu3xg7d7wt-70/
Learn about the Holy Grail of Calculus:
https://www.academia.edu/105576431/The_Holy_Grail_of_Calculus
Get the true Origins and History of Calculus:
https://www.academia.edu/106488069/The_Non_fictional_Origins_and_History_of_Calculus
Discover closed -form trigonometric functions never realised before:
https://www.academia.edu/109334669/Ancient_Greek_trigonometric_formulas_better_than_anything_ever_known
Follow me on Academia.edu:
https://independent.academia.edu/JohnGabriel30
Donate here:
https://gofund.me/af8a5312
or here:
https://wise.com/pay/me/johng3933
All my YouTube videos are backed up here:
https://odysee.com/@NewCalculus:1
The scum of YouTube are constantly threatening and looking for excuses to shut down my channel.
Want to get instant updates for the newest math around? Join our discord server! https://discord.gg/CJ9Ks3WerR
Merchandise Store:
https://new-calculus.printify.me/products
...
https://www.youtube.com/watch?v=EdZAw7uhdJE