Algebra And Geometry Quotes & Sayings

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school - roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply. — Carl Sagan

Maths is at only one remove from magic. — Neel Burton

The application of algebra to geometry ... has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences. — John Stuart Mill

He was "a magician, a magician in the sense that he took what was given and simply forced the conclusions logically out of it, whether it was algebra, geometry, or whatever. He had some way of forcing out the results that made him different from the rest of the people." Israel Halperin about von Neumann — Robert Leonard

In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry ... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching. — Jean-Victor Poncelet

I write rhymes with addition and algebra, mental geometry. — Ice-T

118. There are gaps in my education which no one could ever fill. But, they don't matter to me. I do not need to know science or algebra or geometry. Literature and music, painting and history-these are my passions. These are things that still, somehow in hours of quiet and lonesomeness, keep me alive. — Anne Rice

Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry. — Vladimir Arnold

Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up cold relations of acquaintance confined to occasional calls upon one another; but that is now at an end; they are drawn together and are constantly becoming more and more intimately related and connected by a thousand fresh ties, and we may confidently look forward to a time when they shall form but one body with one soul. — James Joseph Sylvester

I succeeded at math, at least by the usual evaluation criteria: grades. Yet while I might have earned top marks in geometry and algebra, I was merely following memorized rules, plugging in numbers and dutifully crunching out answers by rote, with no real grasp of the significance of what I was doing or its usefulness in solving real-world problems. Worse, I knew the depth of my own ignorance, and I lived in fear that my lack of comprehension would be discovered and I would be exposed as an academic fraud
psychologists call this "imposter syndrome". — Jennifer Ouellette

Life isn't about algebra and geometry. Learning by making mistakes and not duplicating them is what life is about. — Lindsay Fox

Emotions are far harder things to understand than algebra and geometry, yet we spend hours in elucidating mathematics and expect such a problem as that of human relationships to solve itself. — Frances G. Wickes

I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst. — Nathan Kress

Algebra is but written geometry and geometry is but figured algebra. — Sophie Germain

This has been my difficulty. The difficulty with my life. Those well-built trig points, those physical determinants of parents, background, school, family, birth, marriage, death, love, work, are themselves as much in motion as I am. What should be stable, shifts. What I am told is solid, slips. The sensible strong ordinary world of fixity is folklore. The earth is not flat. Geometry cedes to algebra. The Greeks were wrong. — Jeanette Winterson

The fools think I am writing algebra but what I am really writing is geometry. — Ernest Hemingway,

The lock-step approach of algebra, geometry, and then more algebra (but rarely any statistics) is still dominant in U. S. schools, but hardly anywhere else. This fragmented approach yields effective mathematics education not for the many but for the few primarily those who are independently motivated and who will learn under any conditions. — Lynn Steen

He could not believe that any of them might actually hit somebody. If one did, what a nowhere way to go: killed by accident; slain not as an individual but by sheer statistical probability, by the calculated chance of searching fire, even as he himself might be at any moment. Mathematics! Mathematics! Algebra! Geometry! When 1st and 3d Squads came diving and tumbling back over the tiny crest, Bell was content to throw himself prone, press his cheek to the earth, shut his eyes, and lie there. God, oh, God! Why am I here? Why am I here? After a moment's thought, he decided he better change it to: why are we here. That way, no agency of retribution could exact payment from him for being selfish. — James Jones

No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root' of geometry and, just as understanding the square root of -1 took centuries, the same might be true of spinors. — Michael Atiyah

But Miss Ferguson preferred science over penmanship. Philosophy over etiquette. And, dear heavens preserve them all, mathematics over everything. Not simply numbering that could see a wife through her household accounts. Algebra. Geometry. Indecipherable equations made up of unrecognizable symbols that meant nothing to anyone but the chit herself. It was enough to give Miss Chase hives.

The girl wasn't even saved by having any proper feminine skills. She could not tat or sing or draw. Her needlework was execrable, and her Italian worse. In fact, her only skills were completely unacceptable, as no one wanted a wife who could speak German, discuss physics, or bring down more pheasant than her husband. — Eileen Dreyer

Arithmetic! Algebra! Geometry! Grandiose trinity! Luminous triangle! Whoever has not known you is without sense! — Comte De Lautreamont

As long as algebra and geometry have been separated, their progress have been slow and their uses limited; but when these two sciences have been united, they have lent each mutual forces, and have marched together towards perfection. — Joseph-Louis Lagrange

There is certainly the intention of efforts like the Common Core to raise education standards and make sure that every student masters advanced math concepts - algebra, geometry, statistics and probability. — Anya Kamenetz

Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements. — Omar Khayyam

As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid, but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid, but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer ... — Oliver Heaviside

Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. — Vladimir Arnold

As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra. — Augustin-Louis Cauchy

The solution which I am urging is to eradicate the fatal disconnection of subjects which kills the vitality of our modern curriculum. There is only one subject-matter for education, and that is LIfe in all its manifestations. Instead of this single unity, we offer children
Algebra, from which nothing follows; Geometry, from which nothing follows; Science, from which nothing follows; History, from which nothing follows; a Couple of Languages, never mastered; and lastly, most dreary of all, Literature, represented by plays of Shakespeare, with philological notes and short analyses of plot and character to be in substance committed to memory. Can such a list be said to represent Life, as it is known in the midst of living it? The best that can be said of it is, that it is a rapid table of contents which a deity might run over in his mind while he was thinking of creating a world, and has not yet determined how to put it together — Alfred North Whitehead

Fain would I turn back the clock and devote to French or some other language the hours I spent upon algebra, geometry, and trigonometry, of which not one principle remains with me. Stay! There is one theorem painfully drummed into my head which seems to have inhabited some corner of my brain since that early time: "The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides!" There it sticks, but what of it, ye gods, what of it? — Jessie Belle Rittenhouse

Preliminary accounting, banking and surveying (known as arithmetic, algebra and geometry). — Alan Watts

Algebra is nothing more than geometry, in words;
geometry is nothing more than algebra, in pictures. — Sophie Germain

Hindutava's nationalism ignores the rationalist traditions of India, a country in which some of the earliest steps in algebra, geometry, and astronomy were taken, where the decimal system emerged, where early philosophy - secular as well as religious - achieved exceptional sophistication, where people invented games like chess, pioneered sex education, and began the first systematic study of political economy. The Hindu militant chooses instead to present India - explicitly or implicitly - as a country of unquestioning idolaters, delirious fanatics, belligerent devotees, and religious murderers — Amartya Sen

It is hard to convince a high-school student that he will encounter a lot of problems more difficult than those of algebra and geometry. — E.W. Howe