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Everything about Line integral
Definite integral of a scalar or vector field along a path
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, and curvilinear integral are also used; contour integral is used as well, although that is typically reserved for line integrals in the complex plane. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Line integralA 5-minute orientation
- Skim a recent paper: Low-thermal-budget synthesis of monolayer molybdenum disulfide for silicon back-end-of-line integration on a 200 mm platformInfluential work since 2022
- Pick up a classic book: Transmission lines in digital and analog electronic systemsThe most-reprinted book on the subject
- Read the landmark paper: An iteration method for the solution of the eigenvalue problem of linear differential and integral operatorsCited 3,651 times
- Go sideways: Cauchy's integral theoremA closely related topic
- Go sideways: Cauchy's integral formulaA closely related topic
đź“– Definitions
Noun An integral whose integrand's domain is a curve.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
tRNAscan-SE On-line: integrating search and context for analysis of transfer RNA genes
CONTIN: A general purpose constrained regularization program for inverting noisy linear algebraic and integral equations
A constrained regularization method for inverting data represented by linear algebraic or integral equations
🆕 Influential since 2022
Low-thermal-budget synthesis of monolayer molybdenum disulfide for silicon back-end-of-line integration on a 200 mm platform
Analysis of distance measures in intuitionistic fuzzy set theory: A line integral perspective
Stability and Stabilization of TS Fuzzy Systems via Line Integral Lyapunov Fuzzy Function
Integral representations for the double-diffusivity system on the half-line
Integral Line of Sight Guidance Scheme-Based Tracking Method for Snake Robots
đź“š Books worth reading
Transmission lines in digital and analog electronic systemsClayton R. Paul · 2010- 📕PMDRVLawrence M. Baker · 1988
Foundations for Microstrip Circuit DesignTerry C. Edwards, Michael B. Steer · 2016
Analysis Methods for RF, Microwave, and Millimeter-Wave Planar Transmission Line StructuresCam Nguyen · 2000
Stripline-like transmission lines for microwave integrated circuitsBharathi Bhat, Shiban K. Koul · 1989
Design and analysis of high efficiency line drivers for xDSLTim Piessens, Michiel Steyaert · 2004
Foundations for microstrip circuit designT. C. Edwards · 1981
Microwave engineering using microstrip circuitsE. H. Fooks · 1990
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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- Gradient theorem The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated…
- Contour integration In complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is used to study…
- Stokes' theorem Stokes' theorem, also known as the Kelvin–Stokes theorem, is a theorem in vector calculus that relates the behavior of a vector field along the edge of…
- Green's theorem In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in ℝ2)…
- Scalar potential In mathematical physics, a scalar potential is a function depending only on position (and possibly time) that is used to describe a vector 'function' (more…
- Vector field In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space ℝn. A vector field…