/sci/ - Science & Math

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
>https://vixra.org/abs/2111.0072
>http://gg762.net/d0cs/papers/Fractional_Distance_v8-20230808.pdf
Recent analysis has uncovered a broad swath of rarely considered real numbers called real numbers in the neighborhood of infinity. Here we extend the catalog of the rudimentary analytical properties of all real numbers by defining a set of fractional distance functions on the real number line and studying their behavior. The main results of are (1) to prove with modest axioms that some real numbers are greater than any natural number, (2) to develop a technique for taking a limit at infinity via the ordinary Cauchy definition reliant on the classical epsilon-delta formalism, and (3) to demonstrate an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals. We axiomatize the arithmetic of such numbers, prove all the operations are well-defined, and then make comparisons to the similar axioms of a complete ordered field. After developing the many underlying foundations, we present a basis for a topology.

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>>15747951
i already read that, nothing interesting.

>>15747940
http://hbpms.blogspot.com

bump
I am self-studying math as well and finding the "right" source to study with is difficult. Outside of Precalc, Calc and Khancademy I am finding it overwhelming to find quality books

>>15748097
https://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html

found one for you, useless board. bye bye forever.

Sincerely, a /fit/izen

>>15747940
you sure do seem to like talking about yourself on social media

>>15748743
I am genuinely upset at whoever ruined that image with some goypharm supplement.

>>15748743
source please

>>15748853
>source
Brazil.

>>15748884
Please reverse image search is not giving me anything

>>15748912
>Please reverse image search is not giving me anything
Nothign at all? For me it immediately gives ads for that supplement. lol

>>15748935
Well yeah other than that

>>15748773
>>15748853
>>15748884
>>15748912
>>15748935

i ruined it with the suplement, its a whore i fuck (legal in europe) , i have more pics and will make a megaupload link if you drop me math resource books, although practically i already found what i need. up to you.
k going to sleep now you have 24 hours.

>>15749096
You will NEVER have sex. Ever.

>>15749096
This is enough for a few years if you're basically starting from scratch. All of these books can be found on libgen or annas-archive. Now send the pics and possibly videos as well

Anything by Lev Tarasov. Some of his books are written in form of dialog between teacher and student. Then I'd follow with Herb Gross' calculus revisited series found on the MIT website.

Bump

You should keep in consideration that calculus was developed alongside mechanics as a tool to study motion. Like its single variable brother, multivariable calculus was built up in the study of fluid flow and later electromagnetic phenomena. You will gain much intuition from revisting calculus within this bigger scope.

Check out OpenUniversity's math curriculum and just download the assigned books via genlib or something. These books were specifically designed for the self-learner in mind. Picrel is what's used for analysis.

>>15749109
in what world is Lang's Basic Mathematics accessible to people?

>>15750889
What? In what world is it not?

>>15750889
If I handed out Basic Mathematics around campus, 9/10 people would be unable to answer the questions, even less would learn anything from it. It's method is severely outdated due to the proving of everything and writing style, and design. Modern mathematics books are much better for teaching the same material.

>>15751072
It's meant to set a foundation for mathematical thinking as much as teach the specific content of a precalculus class. I think an average (excluding niggers) American high school student could get through it if they tried hard enough and were interested in math.

>>15751072
What is a modern alternative to Lang's Basic Mathematics?
>>15749096
>>15748743
He's not returning, is he?

>>15751125
It's AI generated bud there is no whore