Applications of elliptic integrals

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SUMMARY

The discussion centers on the applications of elliptic integrals in solving problems related to electromagnetism and gravitation. Participants recommend two key resources: "The Use of Integral Transforms" by Ian Sneddon and "Elliptic Functions and Applications" by Derek F. Lawden. These texts provide exercises and examples that illustrate the practical use of elliptic integrals in various mathematical contexts. The discussion emphasizes the importance of these integrals in advanced mathematical applications.

PREREQUISITES
  • Understanding of elliptic integrals and their mathematical properties
  • Familiarity with integral transforms and their applications
  • Basic knowledge of electromagnetism and gravitation principles
  • Experience with mathematical problem-solving techniques
NEXT STEPS
  • Research "The Use of Integral Transforms" by Ian Sneddon for practical applications of integral transforms
  • Study "Elliptic Functions and Applications" by Derek F. Lawden for exercises on elliptic integrals
  • Explore advanced topics in electromagnetism that utilize elliptic integrals
  • Investigate the role of elliptic integrals in gravitational theory and related mathematical models
USEFUL FOR

Mathematicians, physicists, and engineers interested in advanced applications of elliptic integrals in electromagnetism and gravitation.

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On the page about http://mathworld.wolfram.com/EllipticIntegral.html" it says:

Many other problems in electromagnetism and gravitation are solved by elliptic integrals

Where could I find a collection of such problems? or do you have any nice examples of this?
 
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Try this reference book


The Use of Integral Transforms

by

Ian Sneddon
 
least_action said:
On the page about http://mathworld.wolfram.com/EllipticIntegral.html" it says:
Where could I find a collection of such problems? or do you have any nice examples of this?
You may look at the excersices in the book

Elliptic Functions and Applications (Applied Mathematical Sciences) [Hardcover] by Derek F. Lawden

https://www.amazon.com/dp/0387969659/?tag=pfamazon01-20
 
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