Thoughts: One of the great things about Mathematics is how things get built upon each other, into wildly new fields, yet retaining fundamental concepts, and being relatable to other field: $c$ and $d$ are functions of $ax + by$ and $ax + by + cz$ respectively, and this also relates to the function focused aspect of the fundamentals of calculus, in that we can say $y = f(x) = ax+by+cz$. Also, we know that we are dealing with real numbers, due to the nature of the coordinate system not being complex, so we can assume that $a,b,c,x,y,z \in \mathcal{R}$, which is the set of real numbers for which they have membership, so there are even reminisces of set theory hidden within this. This makes sense though, because the foundations of mathematics have been set theoretic since the early 1900's.

Tags:: Mathematics Philosophy

He feels as if, more than anything, the study of Mathematics, has suffered from this degree of negligence.

The function, is the most fundamental concept in Mathematics, coined by Leibniz in 1673.

Time has been central in Mathematics, from its inception, however time itself, has remained mysteries.

In Mathematics, topology is concerned with the properties of geometric objects under continuous deformations.

Tags:: Mathematics

In the field of Mathematics, a distance function or Metric, is a generalization of the concept of physical distance.

Mathematics Science Physics

Because it does not conform to Naturalness, or their ideas of beauty in Mathematics, physicists have actually sought to poke holes in Quantum Mechanics, which has one of, if not the best track record of any theory.

One of, if not the earliest drivers for the development of Mathematics, was time, as the passage of time governed the important cycles of nature, such as the passing of the seasons, harvesting times, and the flooding of the nile, for the Egyptians.

While acceptable in modern times, the advent of infinite numbers after decimal points was not warmly received when the idea was first put forth. David Hilbert was in support of the idea, where as LEJ Brouwer felt Mathematics was a construct, and that numbers are finite, their digits being the result of calculation or random selection, one at a time.

Mathematics

Due to the deep interrelation of Mathematics and Physics, there is inherent tension between the two fields, perceived by mathematicians, physicists and mathematical physicists. Also, an attempt is made to explain why mathematical rigor is typically unwelcome in Physics.

In short, this is my lournal or learning journal, for Physics and Mathematics, mostly from scratch, and constitutes my Personal Curriculum.