Mathematics has been used since the early dawn of humanity. Over the course of the centuries, mathematics has evolved from simple counting to the analysis of abstraction to the study of shapes and motions of objects to the sifting of information and data in order to understand and make decisions.
Whether it be the agricultural revolution in Mesopotamia to the Scientific Revolution and Modern era, mathematical research and progress have taken place as thinkers, philosophers and mathematicians attempted to describe our natural world and to find a kind of logic and reasoning which would help to identity a form of truth.
Defined by the Oxford Dictionaries as the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering (applied mathematics), mathematics is part of our everyday lives.
The Story of Mathematics
For the greatest mathematicians such as Archimedes, Newton, and Gauss mathematics would help to solve the problems of our lives. Today it has become so: From autonomous driving to identifying Tsunamis to self-tracking our own selves, math has become more valuable and present.
Read our quotes about Mathematics to have an idea how mathematics has been perceived throughout the years.
The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.
Alfred North Whitehead
We know that God exists because mathematics is consistent and we know that the devil exists because we cannot prove the consistency.
The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
The greatest problem for mathematicians now is probably the Riemann Hypothesis.
Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they’re extremely hard to solve.
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.
Crystals grew inside rock like arithmetic flowers. They lengthened and spread, added plane to plane in an awed and perfect obedience to an absolute geometry that even stones – maybe only the stones – understood.
The mathematics is not there till we put it there.
The moving power of mathematical invention is not reasoning but imagination.
Augustus de Morgan
Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
The most savage controversies are those about matters as to which there is no good evidence either way. Persecution is used in theology, not in arithmetic.
Mathematics is as much an aspect of culture as it is a collection of algorithms.
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
Carl Friedrich Gauss
Mathematicians stand on each other’s shoulders.
Carl Friedrich Gauss
Mathematics is the Queen of the Sciences.
Carl Friedrich Gauss
In mathematics we have long since drawn the rein, and given over a hopeless race.
We are servants rather than masters in mathematics.
Abel has left mathematicians enough to keep them busy for 500 years.
I was always looking ahead. I used to do all kinds of things for entertainment. When I was young, we had no radio, no TV. We were 30 miles from the public library, out in the sticks in Western Kansas, and so I’d do arithmetic exercises.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
With me, everything turns into mathematics.
James Brown is important because he decorates the clock correctly and he’s good with lower mathematics. Don’t get me wrong – he’s good.
Don Van Vliet
The longer mathematics lives the more abstract – and therefore, possibly also the more practical – it becomes.
E. T. Bell
“Obvious” is the most dangerous word in mathematics.
E. T. Bell
There should be no such thing as boring mathematics.
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry
The hardest arithmetic to master is that which enables us to count our blessings.
There is no royal road to geometry.
Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
G. H. Hardy
The book of nature is written in the language of mathematics.
Music is the pleasure the human mind experiences from counting without being aware that it is counting.
Mathematicians are born, not made.
Mathematicians do not study objects, but relations between objects.
Need we add that mathematicians themselves are not infallible?
You can not apply mathematics as long as words still becloud reality.
Angling may be said to be so like the mathematics that it can never be fully learned.
The numbers may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.
James C. Maxwell
The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing.
It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer.
In my schooling through high school, I excelled mainly in chemistry, physics and mathematics.
What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.
I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959.
John Forbes Nash, Jr.
I was so pleased to be at university to do physics and mathematics.
John Henry Carver
He who refuses to do arithmetic is doomed to talk nonsense.
Algebra is the metaphysics of arithmetic.
A mathematician who is not also something of a poet will never be a complete mathematician.
An early fascination with higher mathematics at the university level blossomed into speculative thinking that could provide a basis for dealing with economic issues.
Lawrence R. Klein
To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.
Whatever the course, whether the course was boring or interesting to me, whether I was talented in mathematics or not talented in languages, my parents expected A’s.
Martin Lewis Perl
This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem – and in particular to perform integration – you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.
Mathematics is written for mathematicians.
Today’s scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.
Geometry existed before creation.
Wherever there is number, there is beauty.
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account.
I went to Princeton from Amherst, where I split my interests between mathematics and philosophy.
Stephen Cole Kleene
As I say, there was this movement to try to bring philosophers and mathematicians together into an organization where they would talk to each other. An organization wasn’t effective unless you had a journal. That’s about all I know.
Stephen Cole Kleene
We have the most crude accounting tools. It’s tragic because our accounts and our national arithmetic doesn’t tell us the things that we need to know.
All musicians are subconsciously mathematicians.
If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto.
And they’re also very good at math, these super boogers, and so they teach Billy the ways of mathematics.