Colombeau Algebra: A pedagogical introduction
Jonathan Gratus
TL;DR
This paper provides a straightforward, educational overview of the Colombeau algebra of generalized functions, guiding readers through its fundamental concepts and standard definitions.
Contribution
It offers a clear, pedagogical introduction to Colombeau algebra, making this complex mathematical framework accessible to learners.
Findings
Simplified explanation of Colombeau algebra
Step-by-step derivation of standard definitions
Enhanced understanding of generalized functions
Abstract
A simple pedagogical introduction to the Colombeau algebra of generalised functions is presented, leading the standard definition.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Clinical Reasoning and Diagnostic Skills · History and Theory of Mathematics