Quotes about calculus (16 Quotes)





    This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.



    A little studied, but essential aspect of human natural-language production is the ability to form concise descriptive expressions.... A very simple model of sentence production involves two steps first one has a thought, and then a sentence is chosen out of an infinite number of possibilities which expresses the thought. For example, a formal semantic model can be given in which the same 'thought' (an expression in first-order predicate calculus) is expressed by the following four sentences I see the big red thing I see the thing that both big and red It is the thing which is red and which is big I see What I here and now see is the thing which is big and not small and that is either round or not round and which has the property of being red.

    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. So died, for each of us, still bravely fighting, our mathematical training except for a set of people called 'mathematicians' born so, like crooks.

    If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing.

    But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.

    10th August 1851 On Tuesday evening at Museum, at a ball in the gardens. The night was chill, I dropped too suddenly from Differential Calculus into ladies' society, and could not give myself freely to the change. After an hour's attempt so to do, I returned, cursing the mode of life I was pursuing next morning I had already shaken hands, however, with Diff. Calculus, and forgot the ladies....





    Gout produces calculus in the kidney... the patient has frequently to entertain the painful speculation as to whether gout or stone be the worst disease. Sometimes the stone, on passing, kills the patient, without waiting for the gout.

    If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus.



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