Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different… — Richard Courant Copy Share Image
For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics? — Richard Courant Copy Share Image
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements… — Richard Courant Copy Share Image
With an absurd oversimplification, the "invention" of calculus [method in mathematics] is sometimes ascribed to two men, Newton and Leibniz. — Richard Courant Copy Share Image
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. — Richard Courant Copy Share Image
Calculus is the outcome of a dramatic intellectual struggle which has lasted for twenty-five hundred years. — Richard Courant Copy Share Image
With an absurd oversimplification, the 'invention' of the calculus is sometimes ascribed to two men, Newton and Leibniz. In reality, the calculus is the… — Richard Courant Copy Share Image
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements… — Richard Courant Copy Share Image
It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas that must… — Richard Courant Copy Share Image
Starting in the seventeenth century, the general theory of extreme values - maxima and minima - has become one of the systematic integrating principles… — Richard Courant Copy Share Image
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