Math 215 – Calculus III
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If you are interested in the ultimate character of the physical world, or the complete world, and at the present time our only way to understand that is through a mathematical type of reasoning, then I don't think a person can fully appreciate, or in fact can appreciate much of, these particular aspects of the world, the great depth of character of the universality of the laws, the relationship of things, without an understanding of mathematics. I don't know any other way to do it, we don't know any other way to describe it accurately... or to see the interrelationships without it. So I don't think a person who hasn't developed some mathematical sense is capable of fully appreciating this aspect of the world — don't misunderstand me, there are many, many aspects of the world that mathematics is unnecessary for, such as love, which are very delightful and wonderful to appreciate and feel awed and mysterious about; and I don't mean to say that the only thing in the world is physics, but you were talking about physics and if that's what you're talking about, then to not know mathematics is a severe limitation in understanding the world.
Richard Feynman (Nobel Prize in Physics, 1965), The Pleasure of Finding Things Out
Parametric Curves Tangent Plane Maxima and Minima Level Curves Gradient Field Riemann Sums





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Last Modified: Wed Feb 1 16:04:46 2006