book recs thread

[Anonymous No.16038574]

[Anonymous No.16038577]

>>16038574

[Anonymous No.16038580]

>>16038574
this is basically the khan academy curriculum lmao

[Anonymous No.16038597]

[El Arcón No.16038599]

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.

[El Arcón No.16038602]

The Time Travel Interpretation of the Bible
>https://vixra.org/abs/2304.0073
We describe the Biblical work of ages as a time travel program for saving humanity from extinction. God's existence is proven as a consequence of the existence of time travel, which is supposed. We present the case that Abraham's grandson Jacob, also called Israel, is Satan. We make the case that the Israelites are described as God's chosen people in the Bible despite their identity as the children of Satan because God's Messiah is descended from Abraham through Satan. They are chosen as the ancestors of the Messiah rather than as Satan's children. We propose an interpretation in which God commanded Abraham to kill his son Isaac to prevent Isaac from becoming the father of Satan. We suggest that God stayed Abraham's hand above Isaac because preventing the existence of Satan would also prevent the existence of Satan's descendant the Messiah. The history of the Israelites is summarized through Jesus and Paul. This book is written so that the number of believers in the world will increase.

[El Arcón No.16038603]

Sixty-Six Theses: Next Steps and the Way Forward in the Modified Cosmological Model
>https://vixra.org/abs/2206.0152
>http://gg762.net/d0cs/papers/Sixty-Six_Theses__v4-20230726.pdf
The purpose is to review and lay out a plan for future inquiry pertaining to the modified cosmological model (MCM) and its overarching research program. The material is modularized as a catalog of open questions that seem likely to support productive research work. The main focus is quantum theory, but the material spans a breadth of physics and mathematics. Cosmology is heavily weighted, and some Millennium Prize problems are included. A comprehensive introduction contains a survey of falsifiable MCM predictions and associated experimental results. Listed problems include original ideas deserving further study as well as investigations of others' work when it may be germane. A longstanding and important conceptual hurdle in the approach to MCM quantum gravity is resolved with a framework for quantum cosmology time arrow eigenstates. A new elliptic curve application is presented. With several exceptions, the presentation is high-level and qualitative. Formal analyses are mostly relegated to the future work which is the topic of this book. Sufficient technical context is given that third parties might independently undertake the suggested work units.

[El Arcón No.16038604]

The Weather Vane Kindle Edition
>https://www.amazon.com/Weather-Vane-Gedalia-Gershon-ebook/dp/B07HHV3N8T
From medieval fantasy to ultra-high tech, The Weather Vane is a fast-paced adventure full of fun and excitement, literary flourish, and colorful characters. A group of ascendant masters find themselves in the afterlife and learn that they are newly recruited into the cosmic battle of good versus evil. Before they can join the fight, shipwreck strikes and they are lost in the ether. Stranded in a magical land beyond the reaches of the universe, The Weather Vane follows our crew of heroes as they try to piece things back together.

[Anonymous No.16038610]

>>16038574
My first recommendation when it comes to books is to stop being retarded. A good book, you will pour through it for a long time, you will go back even afterwards and reduce it atomically. You will probably scan through lots of early books which are fucking shit and probably never have the feeling to go back because it's not fucking necessary.
I have never read a proofs book, I never even took a proofs class in college. Direct proof, induction, contradiction, construction, helpers, and these basic techniques can carry you into most of advanced mathematics.
Maybe you need a few sentences on shorthand symbols, qualifier order, and equivalencies and maybe relations in general, but nothing will be better than the experience. SO JUST START.
A lot of those "beginner" books are a waste of time, they're too retarded, or they're way too abstract for someone with low mathematical maturity. Some of them might be good references, or supplementation but only LATER ON. Only when you find yourself in a position to require that.
ESPECIALLY stay away from foundational schizophrenia as a beginner.
If you know calculus from high school then don't read a book called "advanced calculus" unless it's literally about advanced calculus techniques that might be useful to you, but it's not an essential at all.
I think that after high school elementary linear algebra is a good place to start it'll bring out your maturity and it's a great exercise in algebra, and it usually exposes you to tools like set theory and usually very easy proofs.
be careful a lot of LA books are shitted because they appeal to retarded engineers or even more retarded "C""S" students.

[Anonymous No.16038614]

>>16038610
that sternberg book on advanced calculus is really just an analysis book. Was called advanced calculus back in the 60s, hence the title

[Anonymous No.16038618]

>>16038610
lol Bondy & Murty is trash tier
use Diestel and Yufei Zhao for graph theory

[Anonymous No.16038619]

>>16038614
It's worse than an elementary analysis book

[Anonymous No.16038620]

>>16038618
>Chinese
no thanks

[Anonymous No.16038621]

>>16038619
it covers too much with too little depth imo. Still like some of the exercises.

[Anonymous No.16038624]

>>16038619
your loss, retard
https://yufeizhao.com/gtacbook/
the book is amazing
not that you /sci/ faggots would know that

[Anonymous No.16038634]

>>16038619
nah

[Anonymous No.16039868]

>>16038614
I thought analysis and calculus are two names for the same things, pretty much like algebra, abstract algebra, and modern algebra.

[Anonymous No.16039892]

>>16038604
Dude ur so fucking annoying, consider interacting with people instead of just posting your dog shit papers over and over

[Anonymous No.16040140]

>>16039868
Analysis is usually proof-based while calculus isn't.

[Anonymous No.16040338]

>>16038619
how so? It's better than Tao or Pugh imo

[Anonymous No.16041202]

>>16038574
bump

[Anonymous No.16041976]

>>16038574
Do another one of these but for documentaries (not movies)