Quotes of All Topics . Occasions . Authors
Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by numerous examples that the rigorous method is at the same time the simpler and the more easily comprehended. The very effort for rigor forces us to find out simpler methods of proof.
Over the years, we settled into American life and embraced it fully. But having come from a different culture, I didn't know the boundaries of American culture. Which is that, as a girl, you didn't play football or soccer at lunch with the boys, and to be cool, you didn't get into math Olympiad.
I was excellent at English and Drama. Maths and Science I was terrible at. I didn't have any interest in them. I was happiest at lunchtime, playing with my friends. But I love science now, that's the funny thing. And I'd be so good at geography, as I've been fortunate enough to travel the world.
One day we were sitting in our little classroom in the middle of Australia Zoo, and Dad bursts in and says, 'OK, today we're going to go climb a mountain,' - the Glass House Mountains are about 20 minutes away - so we packed up all our math work and ran out the door and climbed Mount Tibrogargan.
Next you'd see a raft sliding by, away off yonder, and maybe a galoot on it chopping. . . you'd see the ax flash and come down-you don't hear nothing; you see the ax go up again, and by the time it's above the man's head then you hear the k'chunk!-it had took all that time to come over the water.
Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions; the peculiar difficulty, complication, and stress of its reasonings; the perfect exactitude of its results; their broad universality; their practical infallibility.
My dad said, 'Go to college and take whatever you want.' So, I went to the University of Miami. When I got up to the line at registration, I saw that you had to take math and history. I said, 'There's no way I'm taking math and history.' And right next to it was the line for the drama department.
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.
We may discover resources on the moon or Mars that will boggle the imagination, that will test our limits to dream. And the fascination generated by further exploration will inspire our young people to study math, and science, and engineering and create a new generation of innovators and pioneers.
It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.
It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse chance was 1:10. Mathematics is a dangerous profession; an appreciable proportion of us go mad, and then this particular event would be quite likely.
The problem with cinema nowadays is that it's a math problem. People can read a film mathematically; they know when this comes or that comes; in about 30 minutes, it's going to be over and have an ending. So film has become a mathematical solution. And that is boring, because art is not mathematical.
Ask a kid who's struggling in math if he likes being in a mixed-level class, and he'll tell you he feels like a moron. Ask the math genius if he likes being in a mixed-level class, and he'll tell you he's sick of doing all the work during group projects. Sometimes, it's better to sort like with like.
To be sure, mathematics can be extended to any branch of knowledge, including economics, provided the concepts are so clearly defined as to permit accurate symbolic representation. That is only another way of saying that in some branches of discourse it is desirable to know what you are talking about.
I had decent but not great grades in high school because I was highly motivated in some subjects, like the arts, drama, English, and history, but in math and science I was a screw-up. Wooster saw something in me, and I really flourished there. I got into theatre, took photography and painting classes.
Throughout the 1960s and 1970s devoted Beckett readers greeted each successively shorter volume from the master with a mixture of awe and apprehensiveness; it was like watching a great mathematician wielding an infinitesimal calculus, his equations approaching nearer and still nearer to the null point.
Find your self-respect now. Don't dumb yourselves down. Think of yourself as capable and worthy of finding a guy who is going to respect you, too. It's so important, I mean, and the confidence you get from feeling smart and tackling something like mathematics, which is a challenge, right? Math is hard.
I've learned that I've just barely scratched the surface of knowledge of the profession, and I have deep envy of and appreciation for filmmakers who really, truly understand the physics, the design of filmmaking. They can do story and color and composition and geometry and math and science all at once.
Fashion is not just about what we wear, but...fashion is also a business. It is an art, it's a career that involves science, engineering, accounting and so much more. People can learn about the math behind Charles James' designs, and think, 'Maybe I should pay closer attention to geometry this semester'
There's a fundamental disconnection in society in the way we live, this way we live that we take so for granted, and we've become very separate from one another and we don't really take lot of time to realize that. And the math is overwhelming to the point of despair, but the answers could be so simple.
I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.
When I was in 7th grade, we were all given an exam. It was science and math, and the boys who did well were skipped ahead so that when they got to be juniors or seniors in high school they would be able to go to the local community college and take calculus and physics there. And I wasn't skipped ahead.
Music is such an incredible tool for kids in general. They learn discipline; they learn how to express themselves. You learn math. You learn language. It's the ideal teaching tool, and that's why it's mind-boggling when any school superintendent decides that music is something we can kind of do without.
I loved doing problems in school. I'd take them home and make up new ones of my own. But the best problem I ever found, I found in my local public library. I was just browsing through the section of math books and I found this one book, which was all about one particular problem - Fermat's Last Theorem.
When I was a boy, I was called a nerd all the time - because I didn't like sports, I loved to read, I liked math and science, I thought school was really cool - and it hurt a lot. Because it's never OK when a person makes fun of you for something you didn't choose. You know, we don't choose to be nerds.
America's demographic shift was obvious to everyone in the 2010 Census - but Republicans stubbornly rejected math, facts, and polls to their electoral peril. While Republicans tailored their platform by and for the pale stale and male, among us, Obama and Democrats are embracing America's diverse mosaic.
I see it as this: I send my kids to school not only to learn how to read and write and do math, but also to develop socially. So if there's a negative interaction between my child and another child, what I want to know is, how was it handled, what lessons came out of it, and, of course, is my child okay?
You know there's always that kid in your class — and every class has one — the kid who draws all the time and is really good? That was not me. I was a lousy draftsman. But as soon as I figured out that I could make things come alive, like using the corners of my math book to make flipbooks, I was hooked.
The physical five oranges goes up the ladder to the picture of the five oranges which goes up to the representation of the five oranges as a numeral. This points in the direction of a definition of abstraction: when we abstract we voluntarily ignore details of a context, so that we can accomplish a goal.
I attended a high school with more than 4,000 students and met with a guidance counselor only once during my four-year stint. Despite my clear strengths in science and math, my counselor's advice was to pursue a degree in business. A career in engineering was never encouraged nor, in fact, ever mentioned.
I don't think they understand it's as important as math and science. It rounds you out as a person. I think it gives you a love of certain things. You don't have to become the next great composer. It's just nice to have heard certain things or to have seen certain things. It's part of being a human being.
To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
Textbook science is beautiful! Textbook science is comprehensible, unlike mere fascinating words that can never be truly beautiful. Elementary science textbooks describe simple theories, and simplicity is the core of scientific beauty. Fascinating words have no power, nor yet any meaning, without the math.
Most of the time I liked school and got good grades. In junior high, though, I hit a stumbling block with math - I used to come home and cry because of how frustrated I was! But after a few good teachers and a lot of perseverance, I ended up loving math and even choosing it as a major when I got to college.
It is more important that a proposition be interesting than that it be true. This statement is almost a tautology. For the energy of operation of a proposition in an occasion of experience is its interest and is its importance. But of course a true proposition is more apt to be interesting than a false one.
By keenly confronting the enigmas that surround us, and by considering and analyzing the observations that I had made, I ended up in the domain of mathematics. Although I am absolutely without training in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.
I'm a fairly ordinary person - a lifelong reader, a former software engineer, and former math teacher. I come from a wonderful family of teachers, musicians, librarians, and engineers. I think I surprised them as well as my friends and coworkers when I took up writing as a hobby and let it take over my life!
Students never think it can be the teacher's fault and so I thought I was stupid. I was frustrated and would come home and cry because I couldn't do it. Then we got a new teacher who made math accessible. That made all the difference and I learned that it's how you present it that makes it scary or friendly.
The ultimate act of cowardice is the fat-headed wrestling guy sitting behind the frail kid in math class, clipping him on the ear, saying: 'What are you going to do about that, faggot?' That is cowardice. When the bullets start flying past that jock's saucer-shaped ears, that's not cowardice. That's payback.
In our travels, we have come across many equations--math for understanding the universe, for making music, for mapping stars, and also for tipping, which is important. Here is our favorite equation: Us plus Them equals All of Us. It is very simple math. Try it sometime. You probably won’t even need a pencil.
Of all the intellectual faculties, judgment is the last to mature. A child under the age of fifteen should confine its attention either to subjects like mathematics, in which errors of judgment are impossible, or to subjects in which they are not very dangerous, like languages, natural science, history, etc.
Mathematics is much more than computation with pencil and a paper and getting answers to routine exercises. In fact, it can easily be argued that computation, such as doing long division, is not mathematics at all. Calculators can do the same thing and calculators can only calculate they cannot do mathematics.
The Mathematician's Shiva is a brilliant and compelling family saga full of warmth, pathos, history, and humor, not to mention a cast of delightfully quirky characters, and a math lesson or two; all together, a winning equation! When Rojstaczer writes about mathematics, you'd think he was writing about poetry.
My go-to gifts are scarves from my friend Matin Maulawizada's nonprofit organization, Afghan Hands, which supports disenfranchised women in Afghanistan. In exchange for their beautiful embroidery, the women are given financial aid and classes in math and literacy. The scarves are all stunning and one of a kind.
When my kids were growing up, I wanted their teachers to teach them science, reading, math and history. I also wanted them to care about my kids. But I did not want my children's public school teachers teaching them religion. That was my job as a parent and the job of our church, Sunday school, and youth group.
Everything useful in mathematics has been devised for a purpose. Even if you don't know it, the guy who did it first, he knew what he was doing. Banach didn't just develop Banach spaces for the sake of it. He wanted to put many spaces under one heading. Without knowing the examples, the whole thing is pointless.
We know that to compete for the jobs of the 21st century and thrive in a global economy, we need a growing, skilled and educated workforce, particularly in the areas of science, technology, engineering and math. Americans with bachelor's degrees have half the unemployment rate of those with a high school degree.
One may ask the question as to the extent to which the quest for beauty is an aim in the pursuit of science. . . . It is, indeed, an incredible fact that what the human mind, at its deepest and most profound, perceives as beautiful finds its realization in external nature. What is intelligible is also beautiful.
You're not born knowing how to do math. You're taught that. You're not born knowing how to hate someone. You're taught that. And so I feel I want to use my platform to raise awareness about it. To help raise something positive. In America, you look around and a lot of things that happen - it all stems from that.
People in the media and press often say they've never been good at math. It might be that people that consider themselves creative didn't consider themselves good at math or didn't find math interesting at those early stages. And those creative people are disproportionately represented in those influential roles.