Line Integral and parameterization

In summary, the conversation discusses a recommendation for an online reference or book on line integrals and parameterization. The speaker mentions their struggle with these concepts in the past and their desire to understand them better before taking a physics course. They are recommended to a Schaum's outline on Vector Analysis and plan to post questions about it either in the current conversation or in the Homework Help section.
  • #1
discoverer02
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1
Can anyone recommend an online reference or book on line integrals and parameterization that's clear and concise?

I've taken a course in multivariable calculus, but these were difficult concepts for me to grasp and I never fully understood them at the time.

It looks like they're going to come up again in Physics next semester, so I'd really like to nail them over the Summer.
 
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  • #2
I don't know of an online reference, but the Schaum's outline entitled Vector Analysis is good.
 
  • #3
Thanks Tom.

I checked it out on Amazon. It has very good reviews and is inexpensive, so I picked up a copy.

I will probably be posting some questions soon after receiving it.

Should I post them here or Homework Help?
 
  • #4

Should I post them here or Homework Help? [/B]


If it's direct questions about examples in the book go ahead and post it in HWH, otherwise discussion about the subject can be held here.
 

1. What is a line integral?

A line integral is a mathematical concept where the integral of a function along a curve in a two-dimensional or three-dimensional space is calculated. It is used to find the total value of a function along a given path.

2. How is a line integral calculated?

A line integral is calculated by breaking the given curve into small segments and calculating the integral of the function over each segment. The results are then added together to find the total value of the function along the entire curve.

3. What is a parameterization?

A parameterization is a way of representing a curve in terms of one or more parameters. It is used to simplify the calculation of line integrals by breaking the curve into smaller, more manageable segments.

4. How are parameterizations useful in line integrals?

Parameterizations make it easier to calculate line integrals as they allow us to break a complex curve into smaller segments and calculate the integral over each segment individually. This simplifies the overall calculation and makes it more manageable.

5. What are some real-life applications of line integrals and parameterizations?

Line integrals and parameterizations have various applications in physics, engineering, and other fields. They are used to calculate work done by a force, electric potential, fluid flow, and many other physical quantities. They are also used in computer graphics to generate smooth curves and surfaces.

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