Real Analysis in Reverse
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Publication:2847006
DOI10.4169/amer.math.monthly.120.05.392zbMath1305.12002arXiv1204.4483OpenAlexW2964212444MaRDI QIDQ2847006
Publication date: 4 September 2013
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4483
Ordered fields (12J15) Analysis education (97I99) Groups, rings, fields (educational aspects) (97H40) Ordered algebraic structures (educational aspects) (97H50)
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Completeness of ordered fields and a trio of classical series tests ⋮ A Functional Equation Characterization of Archimedean Ordered Fields ⋮ Another Face of the Archimedean Property ⋮ Abstraction by Embedding and Constraint-Based Design ⋮ The Instructor’s Guide to Real Induction ⋮ Littlewood's principles in reverse real analysis ⋮ Unnamed Item ⋮ On the virtue of categoricity ⋮ More of Dedekind: his series test in normed spaces ⋮ Simple proof of existence of a complex eigenvalue of a complex square matrix …and yet another proof of the fundamental theorem of algebra with linear algebra
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