Sequences and Series of Functions
Uniform convergence, power series, and term-by-term operations.
Sequences and Series of Functions. Uniform convergence, power series, and term-by-term operations. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of sequences and series of functions approach the subject from complementary angles. Rudin, Principles of Mathematical Analysis (1976) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for sequences and series of functions include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1976Principles of Mathematical Analysisrudin-1976
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