Live briefing
Everything about Contour integration
Method of evaluating certain integrals along paths in the complex plane
In complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is used to study complex-valued functions that are holomorphic in a region. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Contour integrationA 5-minute orientation
- Skim a recent paper: VBMicroLensing: Three algorithms for multiple lensing with contour integrationInfluential work since 2022
- Pick up a classic book: Contour integration and principles of perceptual groupingThe most-reprinted book on the subject
- Read the landmark paper: Functional determinants by contour integration methodsCited 121 times
- Go sideways: Residue theoremA closely related topic
- Go sideways: Cauchy's integral theoremA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Functional determinants by contour integration methods
Contour integration and cortical processing
Bayesian contour integration
Contour integration in amblyopic monkeys
Development of contour integration in macaque monkeys
Contour integration in the peripheral field
Contour integration in striate cortex
On numerical contour integration round a closed contour
🆕 Influential since 2022
VBMicroLensing: Three algorithms for multiple lensing with contour integration
Contour-Aware Dynamic Low-High Frequency Integration for Pan-Sharpening
Contour integration for the view factor calculation between two rectangular surfaces
It’s all in the timing: delayed feedback in autism may weaken predictive mechanisms during contour integration
Undergraduates’ exploration of contour integration: What is Accumulated?
📚 Books worth reading
- 📕Contour integration and principles of perceptual groupingMalte Persike · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Residue theorem In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions…
- Cauchy's integral theorem In mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard…
- Cauchy's integral formula In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a…
- Line integral In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral…
- Jordan's lemma In complex analysis, Jordan's lemma is a result frequently used in conjunction with the residue theorem to evaluate contour integrals and improper integrals…
- Morera's theorem In complex analysis, a branch of mathematics, Morera's theorem, named after Giacinto Morera, gives a criterion for proving that a function is holomorphic…
- Residue (complex analysis) In mathematics, more specifically complex analysis, the residue of a function at a point of its domain is a complex number proportional to the contour…
- Argument principle In complex analysis, the argument principle (or Cauchy's argument principle) is a theorem relating the difference between the number of zeros and poles…