Asymptotic methods and pertubation method

Click For Summary
SUMMARY

This discussion centers on the relationship between asymptotic methods and perturbation methods in the context of mathematical analysis, specifically referencing the book "Advanced Mathematical Methods for Scientists and Engineers" by Bender and Orszag. Participants agree that while the perturbation chapter can be understood independently, a comprehensive understanding of asymptotic methods is beneficial. The consensus is that skipping asymptotic methods may hinder deeper comprehension of perturbation methods, despite time constraints faced by learners.

PREREQUISITES
  • Understanding of asymptotic analysis
  • Familiarity with perturbation theory
  • Basic mathematical skills, particularly in calculus
  • Knowledge of Bender and Orszag's methodologies
NEXT STEPS
  • Study asymptotic methods in detail, focusing on their applications
  • Explore perturbation methods with examples from Bender and Orszag
  • Practice mathematical problems related to both methods
  • Review supplementary materials that clarify complex concepts in the book
USEFUL FOR

Students and professionals in applied mathematics, physicists, and engineers seeking to enhance their understanding of asymptotic and perturbation methods for solving differential equations.

hanson
Messages
312
Reaction score
0
Hi all!
I am currently reading a book on asymptotic and pertubation methods for finding approximate solutions.

How asymptotic methods and pertubaion methods are related? I mean, can I skip asymptotic methods and directly jump to study pertubation methods? (I know it may be better to have a thorough view on the subject. But I am really out of time.)

Please kindly help.
 
Mathematics news on Phys.org
Is it Bender&Orszag you're reading?

The perturbation chapter is relatively understandable without the other stuff, I think (although I recommend you reading it!)
 
arildno said:
Is it Bender&Orszag you're reading?

The perturbation chapter is relatively understandable without the other stuff, I think (although I recommend you reading it!)

exactly. But, I am a but crap in math actually.
I face quite a lot problems rading that book.
You've read that book, right? could you please help answer some of my questions?
 

Similar threads

Help with Recurrence Equation
  • · Replies 4 ·
Replies
4
Views
2K
High School How to draw a plane intersecting a cylinder at a "compound angle"
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Why is (a+b)/2 not recommended in the Bisection method?
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Derivation for the indicial exponent in the Frobenius method
  • · Replies 1 ·
Replies
1
Views
3K
MHB Discontinuity: Asymptotic discontinuity
  • · Replies 4 ·
Replies
4
Views
5K
Books on D Operator Method
  • · Replies 5 ·
Replies
5
Views
2K
High School What are the different methods of factoring polynomials?
  • · Replies 6 ·
Replies
6
Views
6K
Intro Math Hassani's books on Mathematical Physics/Methods
  • · Replies 5 ·
Replies
5
Views
4K
MHB Explore the Multiple Grid Method: Get Accurate Solution Faster
  • · Replies 36 ·
2
Replies
36
Views
8K
Applied Blennow to follow up Altland?
  • · Replies 8 ·
Replies
8
Views
602