Mathematics Quotes
Most Famous Mathematics Quotes of All Time!
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Thinking - in particular abstract thinking, which most of us are introduced to through the study of mathematics and literature - helps us learn that we can become problem solvers.
We will always have STEM with us. Some things will drop out of the public eye and will go away, but there will always be science, engineering, and technology. And there will always, always be mathematics.
If mathematics is to be understood widely, we need to emphasise its elegance and its applications. Sometimes it seems that universities want to emphasise how difficult it is!
I started John W. Henry & Company because I enjoyed applying mathematics to markets, and it was a profound challenge that resonated within me.
At the age of 12, I developed an intense interest in mathematics. On exposure to algebra, I was fascinated by simultaneous equations and read ahead of the class to the end of the book.
I abandoned chemistry to concentrate on mathematics and physics. In 1942, I travelled to Cambridge to take the scholarship examination at Trinity College, received an award and entered the university in October 1943.
I had changed from being a mathematician to a practicing scientist. I was increasingly embarassed that I could no longer follow some of the more modern branches of pure mathematics.
The mathematics of rhythm are universal. They don't belong to any particular culture.
I still don't like authority exercised without reason. But they laugh at you at Cambridge if you say that sort of thing. For them, the law is a system of rules not that different from mathematics.
My parents owned a pharmacy in Budapest, which gave us a comfortable living. As I was their only child, they wanted me to become a pharmacist. But my own preference would have been to study philosophy and mathematics.
How many of you have broken no laws this month? That's the kind of society I want to build. I want a guarantee - with physics and mathematics, not with laws - that we can give ourselves real privacy of personal communications.
I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959.
As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to 'Non-Cooperative Games,' also to make a nice discovery relating to manifolds and real algebraic varieties.
I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium, and symptoms of schizophrenia.
I must study politics and war that my sons may have liberty to study mathematics and philosophy.
This is a global fight to get the right people in the right place and we're talking about people with PhDs in engineering, computer science, mathematics.
I'd like to be able to design as easily as if I was using Photoshop. I'd like to be able to create a multicolumn layout and control source order without having to do advanced mathematics or hire Eric Meyer or Dan Cederholm to figure out the CSS, because I can't.
I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.
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.
When I was a college student at Yale, I was studying physics and mathematics and was absolutely intent on becoming a theoretical physicist.
In my schooling through high school, I excelled mainly in chemistry, physics and mathematics.
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.
The most painful thing about mathematics is how far away you are from being able to use it after you have learned it.
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.
The abstract analysis of the world by mathematics and physics rests on the concepts of space and time.
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the laws of human intelligence.
I went to a liberal arts college, and as part of my background, I was majoring in mathematics and physics.
Information theory began as a bridge from mathematics to electrical engineering and from there to computing.
Apart from two periods of intense study, of music between the ages of 12 and 14 and of mathematics between the ages of 14 and 16, I coasted, daydreaming, through most of my school years.
From a UX standpoint, the toughest battle is how to make a platform that's really open so kids can use it but has sort of hooks and constraints so it's actually driving towards revealing parts of the world through science or through mathematics.
I cannot recall a period when I did not draw; and at school, the studies that were distasteful to me, mathematics and grammar, were retarded by the indulgence of teachers who were proud of my drawing faculties, and passed over my neglect of uncongenial subjects.
Angling may be said to be so like the mathematics that it can never be fully learned.
Language is remarkable, except under the extreme constraints of mathematics and logic, it never can talk only about what it's supposed to talk about but is always spreading around.
In Libya, I did well at school because I was clever. In Egyptian public school, I got the highest marks for the basest of reasons. And in the American school, I struggled. Everything - mathematics, the sciences, pottery, swimming - had to be conducted in a language I hardly knew and that was neither spoken in the streets nor at home.
I started off thinking that maybe the social sciences ought to have the kinds of mathematics that the natural sciences had. That works a little bit in economics because they talk about costs, prices and quantities of goods.
I was always told that I was good in mathematics, and I guess my grades and standardized test scores supported that. My worst subjects were those that generally involved a lot of reading - English and history. So, having good test scores in math and mediocre ones in reading, I was naturally advised to major in engineering in college.
One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics.
People seem to be afraid of science, and certainly, people seem to be afraid of mathematics. And I think that's such a shame, because I don't think it's as hard as people seem to think it is.
Many of our young people spend four years getting very expensive college degrees. But our universities fail them and the nation if they continue to graduate students with expertise in biochemistry, mathematics or history without teaching them to think about what problems are important and why.
There's actually an awful lot of mathematics that goes into designing a railway, keeping it running, making sure everything runs optimally. Every time you need something to be optimal there's going to be some mathematics at play.
I was very good at history, often scoring 99 out of 100, whereas in mathematics, I usually scored zero.
It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to mathematics, though she is still forbidden to resort to physics or chemistry.
One of the basic principles when you dealing with mathematics and Islam: Seek knowledge.
Mathematics cannot handle physical quantities like density that literally go to infinity.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
In mathematics the art of proposing a question must be held of higher value than solving it.
If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.
But however measurable, there is much more life in music than mathematics or logic ever dreamed of.
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
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.
I was fortunate to grow up in a middle-class home with two hardworking parents who enjoyed both reading and mathematics.
I'm a mathematician, basically. What I do is look around for problems where I can find useful applications for mathematics. All I do, really, is the math, and other people have the ideas.
Film is one of the three universal languages, the other two: mathematics and music.
I became an atheist because, as a graduate student studying quantum physics, life seemed to be reducible to second-order differential equations. Mathematics, chemistry and physics had it all. And I didn't see any need to go beyond that.
Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.
Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.
At Tenafly High, I was lucky to have some dedicated teachers; I'm especially indebted to my calculus instructor, Francis Piersa, who opened my eyes to the striking beauty of mathematics.
I enjoyed mathematics from a very young age. At the beginning of college, I had this illusion, which was kind of silly in retrospect, that if I just understood math and physics and philosophy, I could figure out everything else from first principles.
The exact sciences, which would be considered a priori as little adapted to women, for example mathematics, astronomy and physics, are exactly those in which thus far they have most distinguished themselves. This contains a warning against too precipitate conclusions about the intellectual life of woman.
From the ages of five to twelve, I attended the Saint Laurence O'Toole elementary school in Lawrence, a city next to Methuen, and was taught by sisters of the Catholic order of Notre Dame de Namour. I enjoyed all my subjects there. I do not remember ever learning any science, except for mathematics.
I could never accept findings based almost exclusively on mathematics. It ain't ignorance that causes all the trouble in this world. It's the things people know that ain't so.
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.
If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.
It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.
The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.
The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future.
I sort of was good at writing essays. I was never very good at mathematics, and I was never very good at algebra. I loved science, but I wasn't sure of it.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
From the age of 13, I was attracted to physics and mathematics. My interest in these subjects derived mostly from popular science books that I read avidly.
Across a range of inferences involving not just language but mathematics, logic problems, and spatial reasoning, sleep has been shown to enhance the formation and understanding of abstract relations, so much so that people often wake having solved a problem that was unsolvable the night before.
The ability to perform basic math calculations is certainly an integral part of playing fundamental poker. But in tournament poker, it's equally important to understand that survival often trumps mathematics in coin flip situations.
The problem is that no ethical system has ever achieved consensus. Ethical systems are completely unlike mathematics or science. This is a source of concern.
When we talk about music, we talk about our reaction to it. One person might say that music is so poetic, while another says it's all mathematics. Yet another might say it's about sensuality, and so on. That's all true. But music is not just one of these things. It's everything all at once.
My main concern with the condition of mathematics in high school is that there's a lot of fear involved! Math is not, generally speaking, presented in a fun way. The concepts, as I see them, are fun, and that's the way I'd like to convey them myself.
I was a good student with mathematical ability and interests. As such, I took the usual college preparatory program in high school for one looking to become an engineer: all the available courses in mathematics and science.
Calculating does not equal mathematics. It's a subsection of it. In years gone by it was the limiting factor, but computers now allow you to make the whole of mathematics more intellectual.
The social science on the impact of desegregation is clear. Researchers have consistently found that students in integrated schools - irrespective of ethnicity, race, or social class - are more likely to make academic gains in mathematics, reading, and often science than they are in segregated ones.
I wonder if economics has less basic core material than is necessary for fields such as mathematics, physics, or chemistry, say.
I preferred to use mathematics in some practical fashion and thought that meteorology sounded promising.
My high school, the Illinois Mathematics and Science Academy, showed me that anything is possible and that you're never too young to think big. At 15, I worked as a computer programmer at the Fermi National Accelerator Laboratory, or Fermilab. After graduating, I attended Stanford for a degree in economics and computer science.
Fractions, decimals, algebra, geometry, trigonometry, calculus, mechanics - these are the steps up the mountain side. How high is one going to get? For me, the pinnacle was Projective Geometry. Who today has even heard of this branch of mathematics?
Mathematics is like music. Neither needs to be useful. It is enough that each gives delight to those who seek delight from it.
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