R. Courant

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R. Courant



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Dirichlet's Principle, Conf...

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Differential and Integral C...

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Dirichlet's Principle, Conf...

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Supersonic Flow and Shock W...

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Methoden Der Mathematischen...

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Differntial & Integral Calc...

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Differencial & Integeral Ca...

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Differential and Integral C...

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Calculus of Variations

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Differential and Integral C...

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“...general theories emerge from consideration of the specific, and they are meaningless if they do not serve to clarify and order the more particularized substance below. The interplay between generality and individuality, deduction and construction, logic and imagination -- this is the profound essence of live mathematics. Anyone or another of these aspects of mathematics can be at the center of a given achievement. In a far-reaching development all of them will be involved. Generally speaking, such a development will start from the "concrete" ground, then discard ballast by abstraction and rise to the lofty layers of thin air where navigation and observation are easy; after this flight comes the crucial test of landing and reaching specific goals in the newly surveyed low plains of individual "reality". In brief, the flight into abstract generality must start from and return to the concrete and specific.

- Mathematics in the Modern World. Scientific American, Volume 211, No. 3, September 1964.”
R. Courant



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