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Full-Text Articles in Education
Connectedness- Its Evolution And Applications, Nicholas A. Scoville
Connectedness- Its Evolution And Applications, Nicholas A. Scoville
Topology
No abstract provided.
Connecting Connectedness, Nicholas A. Scoville
Topology From Analysis, Nicholas A. Scoville
Topology From Analysis, Nicholas A. Scoville
Topology
Topology is often described as having no notion of distance, but a notion of nearness. How can such a thing be possible? Isn't this just a distinction without a difference? In this project, we will discover the notion of nearness without distance by studying the work of Georg Cantor and a problem he was investigating involving Fourier series. We will see that it is the relationship of points to each other, and not their distances per se, that is a proper view. We will see the roots of topology organically springing from analysis.