Series in Mathematics: From Zeno to Quantum Theory

[fresh_42]

Table of Contents
ToggleIntroductionZeno of Elea, Archimedes of Syracuse,
and John von Neumann of BudapestFunctionsConvergenceDomains of SeriesSources
Introduction
Series play a decisive role in many branches of mathematics. They accompanied mathematical developments from Zeno of Elea (##5##-th century BC) and Archimedes of Syracuse (##3##-th century BC), to the fundamental building blocks of calculus from the...

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[martinbn]

Where is the quantum theory and where did you use reference [7]?

 

[fresh_42]

Where is the quantum theory and where did you use reference [7]?

Greg changed the title without asking me. My title was only "Mathematical Series". The word 'Mathematical' was already a concession. I would have called it just "Series".

It is possible to write an article with that actual title, and Dieudonné did write the middle part of such an article (17th to 19th century) but it took him several hundred pages - without Zeno, Archimedes, and Bohr.

I mentioned QM/Lie theory in the introduction and one can find a proof for Ad exp = exp ad in Varadarajan [7]. Maybe it should have been placed behind the formula, but I didn't want it to conflict with "(*)" which I needed for reference, so I chose the second-best location for [7].