Books on D Operator Method

AI Thread Summary
The discussion focuses on finding comprehensive resources for studying the D Operator Method in Ordinary Differential Equations (ODEs). Participants suggest several texts, including a notable recommendation of Evans' work, though specific titles covering the D Operator Method rigorously are limited. A contributor mentions their experience teaching mathematics in the '90s, noting a scarcity of textbooks on the topic at that time. They provide links to their own articles on solving homogeneous and nonhomogeneous linear ODEs using annihilators, which may be beneficial. Additionally, Spiegel’s "Applied Differential Equations" is mentioned as having relevant content. The conversation highlights that Laplace transforms have largely supplanted the D Operator Method, and it is advised to explore online resources for the latest research developments in the field.
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TL;DR Summary: Comprehensive books on D Operator method

Currently I am studying (Ordinary) Differential equation but the book I am following doesn't include much on D Operator Method of solving differential equations. Please suggest me some (Ordinary Differential Equation) books that goes through D Operator Method rigorously with theory and ample examples.
 
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This is quite general, but here's a good text by Evans.
 
lekh2003 said:
This is quite general, but here's a good text by Evans.
Thanks. But sorry, I should have been more specific. I am studying ordinary differential equations
 
PLAGUE said:
Please suggest me some (Ordinary Differential Equation) books that goes through D Operator Method rigorously with theory and ample examples.
Back when I was teaching college-level mathematics in the '90s, there weren't many textbooks that covered this technique. It's possible some newer textbooks cover it, but I haven't kept up with them.

I wrote a couple Insights articles that might be helpful to you. Here are links to them.
Solving Homogeneous Linear ODEs using Annihilators
https://www.physicsforums.com/insights/solving-homogeneous-linear-odes-using-annihilators/

How to Solve Nonhomogeneous Linear ODEs using Annihilators
https://www.physicsforums.com/insights/solving-nonhomogeneous-linear-odes-using-annihilators/
 
Are you talking about Heavyside’s Operational Calculus? If yes, try some of the references from https://en.wikipedia.org/wiki/Operational_calculus.

Spiegel’s “Applied Differential Equations” (1981) has a section on it.

Laplace transforms have generally replaced the approach.
 
Just general advice that you may want to train yourself from online sources if you want at some point to do research, as the most recent stuff may not be all in books.
 
For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
I’ve heard that in some countries (for example, Argentina), the curriculum is structured differently from the typical American program. In the U.S., students usually take a general physics course first, then move on to a textbook like Griffiths, and only encounter Jackson at the graduate level. In contrast, in those countries students go through a general physics course (such as Resnick-Halliday) and then proceed directly to Jackson. If the slower, more gradual approach is considered...

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