Essays on the theory of numbers: Continuity and irrational numbers. The nature and meaning of numbers / by Richard Dedekind. Authorized translation by Wooster Woodruff Beman, Late Professor of Mathematics, The University of Michigan

Richard Dedekind · W. W. Beman

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History and Theory of Mathematics Advanced Topology and Set Theory Mathematical and Theoretical Analysis

Abstract

Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties of the natural numbers.

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2001Can Mathematics Education and History of Mathematics Coexist?

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