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Everything about Non-analytic smooth function
Mathematical functions which are smooth but not analytic
In real analysis, a smooth function is infinitely differentiable at each point in its domain, while a real analytic function is, at each point in its domain, the limit of a convergent power series in a neighbourhood of that point. All real analytic functions are smooth, but there exist smooth real functions that are not real analytic, as given below. Wikipedia →
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- Read the overview: Non-analytic smooth functionA 5-minute orientation
- Pick up a classic book: Differential and combinatorial topologyThe most-reprinted book on the subject
- Go sideways: SmoothnessA closely related topic
- Go sideways: Flat functionA closely related topic
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đź“š Books worth reading
- 📕Differential and combinatorial topologyStewart S. Cairns · 1965
Business Analytics, Global EditionEvans, James R. · 1920
Solving Problems in Scientific Computing Using Maple and MATLAB®Walter Gander · 1997- 📕Proceedings of the International Congress of Mathematicians Madrid, August 22-30, 2006Marta Sanz-Solé, Javier Soria · 2007
Science of inexact mathematics. Investment performance measurement. Mortgages and annuities. Computing algorithms. Attribution. Risk valuationYuri K. Shestopaloff · 2009- 📕CONCREEP 10International Conference on Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete and Concrete Structures (10th 2015 Vienna, Austria) · 2015
The Human Planet · 2009
Foundation designN. S. V. Kameswara Rao · 2011
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đź”— Related topics
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