Question

Definition of rectifiable curve in complex analysis

Answer 1

Definition. Rectifiable curve: A curveis called rectifiable curve, if it is of finite length. In other words, if the measure (for example, arc length or distance) between any two points of the curve is finite. A.Swaminathan and V.K.Katiyar (NPTEL) Complex Analysis.

Answer 2

Answer:

Rectifiable curve has a proper defined length which is finite.

Step-by-step explanation:

• Rectifiable curves are important in complex and hard analysis.
• They are important as they are needed to define a proper path.
• For example: length of an arc or distance of arc.
• Complex analysis are known as theory of functions .
• It is a branch of math's that investigate function of complex numbers.

• It has important connections to asymptotic, harmonic and numerical analysis.
• Complex analysis is very important factor in human life as a view in mathematical landscape.
• It can serve as an effective capstone course for the mathematical major.
• And to solve this complex analysis we use rectifiable curve.

Hence rectifiable curve is very important.