Algebra Quotes - Page 5

• 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

  Science, Giving, Reason

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• If anyone takes me seriously then they actually must have a problem .. Music is fun its not algebra.

  Diplo

  Fun, Problem, Music Is

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• Who cares for Algebra?Who delights in solving math?I only want to live my lifeAlong the creative path.

  Jennifer Niven

  Math, Creative, Who Cares

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• Blessed influence of one true loving human soul on another! Not calculable by algebra, not deducible by logic, but mysterious, effectual, mighty as the hidden process by which the tiny seed is quickened, and bursts forth into tall stem and broad leaf, and glowing tasseled flower.

  George Eliot

  Love, Flower, Blessed

  George Eliot (2013). “Delphi Complete Works of George Eliot (Illustrated)”, p.3798, Delphi Classics

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• We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free , but when the chips are down we close the office door and compute with matrices like fury.

  Irving Kaplansky

  Philosophy, Writing, Thinking

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• ... commutative algebra is a lot like topology, only backwards.

  John C. Baez

  Math, Topology, Backwards

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• Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number or you haven't. You get the feeling that the result you have discovered is forever, because it's concrete. Other branches of mathematics are not so clear-cut. Functional analysis of infinite-dimensional spaces is never fully convincing; you don't get a feeling of having done an honest day's work. Don't get the wrong idea - combinatorics is not just putting balls into boxes. Counting finite sets can be a highbrow undertaking, with sophisticated techniques.

  Gian-Carlo Rota

  Cutting, Math, Ideas

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• The voice belonged to Mr. Pzyrbovich, an algebra teacher who was always called Mr. P, for obvious reasons. He has a heavy accent, which a lot of kids said made him hard to understand, although to be fair some of these kids would have never understood algebra anyway.

  Dave Barry

  Teacher, Kids, Voice

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• Problem solving, and I don't mean algebra, seems to be my life's work. Maybe it's everyone's life's work.

  Beverly Cleary

  Mean, Problem, Seems

  Beverly Cleary, Paul O. Zelinsky (1995). “Strider”

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• Cam was so much clearer, easier to figure out. Like he was algebra and Daniel was calculus.

  Lauren Kate

  Easier, Figures, Calculus

  Lauren Kate (2011). “The Fallen Sequence: An Omnibus Edition”, p.203, Delacorte Press

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• Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing.

  Vladimir Arnold

  Lying, Groups, Analysis

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• We live through myriads of seconds, yet it is always one, just one, that casts our entire inner world into turmoil, the second when (as Stendhal has described it) the internal inflorescence, already steeped in every kind of fluid, condenses and crystallizes—a magical second, like the moment of generation, and like that moment concealed in the warm interior of the individual life, invisible, untouchable, beyond the reach of feeling, a secret experienced alone. No algebra of the mind can calculate it, no alchemy of premonition divine it, and it can seldom perceive itself.

  Stefan Zweig

  Feelings, Secret, Mind

  Stefan Zweig (2015). “The Collected Novellas of Stefan Zweig: Burning Secret, A Chess Story, Fear, Confusion, Journey into the Past”, p.144, Pushkin Press

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• Of possible quadruple algebras the one that had seemed to him by far the most beautiful and remarkable was practically identical with quaternions, and that he thought it most interesting that a calculus which so strongly appealed to the human mind by its intrinsic beauty and symmetry should prove to be especially adapted to the study of natural phenomena. The mind of man and that of Nature's God must work in the same channels.

  Benjamin Peirce

  Beautiful, God, Nature

  "The American Mathematical Monthly: The Official Journal of the Mathematical Association of America, Volume 32". Book published by The Association (p. 6), 1925.

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• Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be supposed to have on a Browning or a Tennyson. Indeed it seems to me that an exact homology exists between painting and poetry on the one hand and modem chemistry and modem algebra on the other. In poetry and algebra we have the pure idea elaborated and expressed through the vehicle of language, in painting and chemistry the idea enveloped in matter, depending in part on manual processes and the resources of art for its due manifestation.

  James Joseph Sylvester

  Art, Hands, Ideas

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• I do not believe there is anything useful which men can know with exactitude that they cannot know by arithmetic and algebra.

  Nicolas Malebranche

  Believe, Knowledge, Science

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• It is not always the most brilliant speculations nor the choice of the most exotic materials that is most profitable. I prefer Monsieur de Reaumur busy exterminating moths by means of an oily fleece; or increasing fowl production by making them hatch without the help of their mothers, than Monsieur Bemouilli absorbed in algebra, or Monsieur Leibniz calculating the various advantages and disadvantages of the possible worlds.

  Noel-Antoine Pluche

  Mother, Mean, Science

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• Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science which have been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity.

  Mary Somerville

  Math, Men, Unity

  Kathryn A. Neeley, Mary Somerville (2001). “Mary Somerville: Science, Illumination, and the Female Mind”, p.180, Cambridge University Press

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• In high school, I loved history. I also loved cosmography, algebra. Mexico is so rich in culture and history, and I have always enjoyed that.

  Carlos Slim

  School, Culture, Mexico

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• We think only through the medium of words. Languages are true analytical methods. Algebra, which is adapted to its purpose in every species of expression, in the most simple, most exact, and best manner possible, is at the same time a language and an analytical method. The art of reasoning is nothing more than a language well arranged.

  Antoine Lavoisier

  Art, Learning, Simple

  "Elements of Chemistry". Book by Antoine Lavoisier, 1790.

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• Spoken of the young Archimedes: . . . [he] was as much enchanted by the rudiments of algebra as he would have been if I had given him an engine worked by steam, with a methylated spirit lamp to heat the boiler; more enchanted, perhaps for the engine would have got broken, and, remaining always itself, would in any case have lost its charm, while the rudiments of algebra continued to grow and blossom in his mind with an unfailing luxuriance. Every day he made the discovery of something which seemed to him exquisitely beautiful; the new toy was inexhaustible in its potentialities.

  Archimedes

  Beautiful, Discovery, Broken

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• Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

  Mary Schmich

  Real, Worry, Tuesday

  Mary Schmich (2012). “The Best of Mary Schmich: Selected Writings by the Chicago Tribune's Winner of the 2012 Pulitzer Prize for Commentary”, p.31, Agate Digital

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• As I made my way home, I thought Jem and I would get grown but there wasn't much else for us to learn, except possibly algebra.

  Harper Lee

  Home, Literature, Way

  Harper Lee (1960). “TO KILL A MOCKINGBIRD”

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• Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the "language."

  John Backus

  Law, Understanding, Ordinary

  "Can Programming Be Liberated From the von Neumann Style?". John Backus' 1977 Turing Award lecture, published in "Communications of the ACM", Volume 21, No. 8 (pp. 639-640), August 1978.

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• They have the idea that non-commutative algebra should remind one of commutative algebra, but the former is more sophisticated. I believe that non-commutative algebra is just as simple, but it is different.

  Israel Gelfand

  Believe, Science, Simple

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• How can you shorten the subject? That stern struggle with the multiplication table, for many people not yet ended in victory, how can you make it less? Square root, as obdurate as a hardwood stump in a pasturenothing but years of effort can extract it. You can't hurry the process. Or pass from arithmetic to algebra; you can't shoulder your way past quadratic equations or ripple through the binomial theorem. Instead, the other way; your feet are impeded in the tangled growth, your pace slackens, you sink and fall somewhere near the binomial theorem with the calculus in sight on the horizon.

  Stephen Leacock

  Fall, Struggle, Math

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