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/sci/ - Science & Math


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16023383 No.16023383 [Reply] [Original]

I want to study math again, could you recommend me a book? Honestly, the only thing I feel confident about understanding right now is basic arithmetic operations

I'd prefer a single-volume book that I can refer to like a dictionary whenever I get confused or forget specific concepts

>> No.16023851

>>15833831
>>15833832

>> No.16024075

>>16023383
>I'd prefer a single-volume book that I can refer to like a dictionary whenever I get confused or forget specific concepts
And why do you think such a book exists?

>> No.16024224
File: 1.23 MB, 1x1, TIMESAND___Fractional_Distance__20230808.pdf [View same] [iqdb] [saucenao] [google]
16024224

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.