Contributions to the Founding of the Theory of Transfinite Numbers (Classic Reprint) - Softcover

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Excerpt from Contributions to the Founding of the Theory of Transfinite Numbers

Hankel attempted to exhibit the theory of functions of a real variable as leading, of necessity, to the restrictions and extensions from which we start in Riemann's theory of functions of a complex variable and yet Hankel's researches entitle him to be called the founder of the independent theory of functions of a real variable. At about the same time, Heine initiated, under the direct influence of Riemann's Habilitationsschrift, a new series of investigations on trigonometrical series.

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