Quotes by Richard Courant - Page 1

Euler - The unsurpassed master of analytic invention.
Richard Courant / Mathematician
Invention
Masters
Mathematician
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Calculus is the outcome of a dramatic intellectual struggle which has lasted for twenty-five hundred years.
Richard Courant / Mathematician
Intellectual
Struggle
Years
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Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection.
Richard Courant / Mathematician
Expression
Mind
Perfection
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With an absurd oversimplification, the "invention" of calculus [method in mathematics] is sometimes ascribed to two men, Newton and Leibniz.
Richard Courant / Mathematician
Men
Sometimes
Two
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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 / Mathematician
Experience
Alone
Science
Active
Mathematics
Philosophy
Sensual
Alike
Itself
Question
Scholars
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Starting in the seventeenth century, the general theory of extreme values - maxima and minima - has become one of the systematic integrating principles of science.
Richard Courant / Mathematician
Education
Principles
Systematic
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It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas that must bind divergent interests together.
Richard Courant / Mathematician
Science
Essence
Motivation
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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.
Richard Courant / Mathematician
Active
Aesthetic
Analysis
Construction
Contemplative
Desire
Elements
Expression
Human Mind
Individuality
Intuition
Logic
Mathematics
Mind
Perfection
Reason
Will
Basic
Basic Elements
Human
Generality
Reflects
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With an absurd oversimplification, the 'invention' of the calculus is sometimes ascribed to two men, Newton and Leibniz. In reality, the calculus is the product of a long evolution that was neither initiated nor terminated by Newton and Leibniz, but in which both played a decisive part.
Richard Courant / Mathematician
Education
Men
Reality
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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 aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
Richard Courant / Mathematician
Expression
Perfection
Struggle
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Richard Courant Quotes - Page 1

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