Perturbation techniques examples please?

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SUMMARY

The discussion focuses on the need for clear examples of perturbation techniques, specifically within the context of the course "singular perturbations" using the textbook "Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1)" by Carl Bender. Participants emphasize the importance of narrowing down the specific types of problems, such as algebraic and transcendental equations, to provide relevant examples. A general reference to perturbation theory is mentioned, but specific worked-out solutions are requested for better understanding.

PREREQUISITES
  • Understanding of perturbation theory concepts
  • Familiarity with algebraic and transcendental equations
  • Basic knowledge of singular perturbations
  • Experience with mathematical methods for scientists and engineers
NEXT STEPS
  • Research specific examples of algebraic perturbation techniques
  • Study worked-out solutions for transcendental equations in perturbation theory
  • Explore resources on singular perturbations in differential equations
  • Review the textbook "Advanced Mathematical Methods for Scientists and Engineers" for additional context
USEFUL FOR

Students and educators in applied mathematics, particularly those studying perturbation techniques in engineering and scientific contexts, will benefit from this discussion.

ericm1234
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As expected, my textbook and teacher are both lacking clear, concise examples for me to work with, so would someone point me to early examples within the context of "perturbation techniques", preferably with WORKED OUT solutions for cross reference?

thanks
 
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You're going to have to give us some more info than that. There are lots of different kinds of perturbation techniques. You'll need to help narrow down what you want. e.g., what is the class, what is the book? What kinds of problems are you discussing? Nonlinear differential equations? Quantum mechanics? Something else?

Here's the general wikipedia page on Perturbation theory, but it might not be all that useful to you until we know what kind of problems you're looking for.
 
Ok, taking a class called "singular perturbations". Book is (he claims he's following it only loosely) Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1)" Bender, Carl.
We are starting with algebraic equations and transcendental equations.
 

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