Yet in another way, calculus is fundamentally naive, almost childish in its optimism. Experience teaches us that change can be sudden, discontinuous, and wrenching. Calculus draws its power by refusing to see that. It insists on a world without accidents, where one thing leads logically to another. Give me the initial conditions and the law of motion, and with calculus I can predict the future -- or better yet, reconstruct the past. I wish I could do that now.
Tag: calculus
Nothing takes place in the world whose meaning is not that of some maximum or minimum.
Leonhard EulerTag: mathematics calculus
I abandoned the assigned problems in standard calculus textbooks and followed my curiosity. Wherever I happened to be--a Vegas casino, Disneyland, surfing in Hawaii, or sweating on the elliptical in Boesel's Green Microgym--I asked myself, "Where is the calculus in this experience?
Jennifer OuelletteTag: life-lessons mathematics calculus
Normal. She wanted normal and so did I. "You know what's normal?"
"What?" She wiped away her remaining tears. "Calculus.
It is an unfortunate fact that proofs can be very misleading. Proofs exist to establish once and for all, according to very high standards, that certain mathematical statements are irrefutable facts. What is unfortunate about this is that a proof, in spite of the fact that it is perfectly correct, does not in any way have to be enlightening. Thus, mathematicians, and mathematics students, are faced with two problems: the generation of proofs, and the generation of internal enlightenment. To understand a theorem requires enlightenment. If one has enlightenment, one knows in one's soul why a particular theorem must be true.
Herbert S. GaskillTag: inspirational mathematics calculus
Looking at numbers as groups of rocks may seem unusual, but actually it's as old as math itself. The word "calculate" reflects that legacy -- it comes from the Latin word calculus, meaning a pebble used for counting. To enjoy working with numbers you don't have to be Einstein (German for "one stone"), but it might help to have rocks in your head.
Steven H. StrogatzTag: einstein math rocks calculus calculate
If you put it as 'complex nervous systems' it sounds pretty deflationary. What's so special about a complex nervous system? But of course, that complex nervous system allows you to do calculus. It allows you to do astrophysics… to write poetry... to fall in love. Put under that description, when asked 'What’s so special about humans...?', I’m at a loss to know how to answer that question. If you don’t see why we’d be special… because we can do poetry [and] think philosophical thoughts [and] we can think about the morality of our behavior, I’m not sure what kind of answer could possibly satisfy you at that point.
...I could pose the same kinds of questions of you... So God says, 'You are guys are really, really special.' How does his saying it make us special? 'But you see, he gave us a soul.' How does our having a soul make us special? Whatever answer you give, you could always say… 'What’s so special about that?
Tag: poetry purpose humanity meaning humans debate special calculus complex-nervous-systems
You can't teach calculus to a chimpanzee. So just share your banana.
John RachelTag: education golden-rule calculus banana chimpanzee lyme-disease
I studied calculus for the first time, which to me was an amazingly empowering experience which I could really see how you could understand all sorts of things, and I decided that chemistry and biology just had too much memory for me to be interested. Physics was very easy.
Marshall Nicholas RosenbluthTag: science biology easy empowering physics math chemistry nobel-laureate calculus
Accordingly, we find Euler and D'Alembert devoting their talent and their patience to the establishment of the laws of rotation of the solid bodies. Lagrange has incorporated his own analysis of the problem with his general treatment of mechanics, and since his time M. Poinsot has brought the subject under the power of a more searching analysis than that of the calculus, in which ideas take the place of symbols, and intelligent propositions supersede equations.
James Clerk MaxwellTag: science talent intelligence d-alembert equations analysis mechanics calculus lagrange euler leonard-euler louis-poinsot poinsot scientific-laws
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