Differential equation book and topics

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SUMMARY

The discussion centers around the book "Differential Equations" by Paul Blanchard, Robert L. Devaney, and Glen R. Hall, which is used in university courses. Participants express a mix of support and criticism regarding the book's pedagogical approach, particularly its emphasis on dynamics and qualitative analysis. Some users appreciate its innovative teaching methods, while others cite negative reviews highlighting a lack of depth and substance. Overall, the book is recognized as a significant resource for self-study in differential equations.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with differential equations terminology
  • Knowledge of qualitative analysis techniques
  • Experience with mathematical pedagogy
NEXT STEPS
  • Research advanced topics in "Differential Equations" such as stability analysis
  • Explore supplementary materials for qualitative analysis techniques
  • Investigate alternative differential equations textbooks for comparison
  • Study pedagogical approaches in mathematics education
USEFUL FOR

Students in their second year of university, educators in mathematics, and anyone interested in self-studying differential equations will benefit from this discussion.

Manaf
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Hello,
I have got a book called " Differential Equations", by Paul Blanchard, Robert L. Devaney, and Glen R. Hall.
Here is the book: http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M2b&product_isbn_issn=0495012653&discipline_number=1
I am doing now some self-study on it,,,can you tell me please what you think of the book? and which topics do you recommend for the 2nd year in the university?
thanks a lot.
 
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Manaf said:
Hello,
I have got a book called " Differential Equations", by Paul Blanchard, Robert L. Devaney, and Glen R. Hall.
Here is the book: http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M2b&product_isbn_issn=0495012653&discipline_number=1
I am doing now some self-study on it,,,can you tell me please what you think of the book? and which topics do you recommend for the 2nd year in the university?
thanks a lot.

Rock and Roll! I'm a big believer of that book. They emphasized dynamics and qualitative analysis of differential equations and although some may argue texts of a more rigorous nature, it represents from what I've been told, a fundamentally new way of teaching differential equations. :smile:
 
Last edited by a moderator:
Manaf said:
Hello,
I have got a book called " Differential Equations", by Paul Blanchard, Robert L. Devaney, and Glen R. Hall.
Here is the book: http://www.brookscole.com/cgi-wadsw...duct_isbn_issn=0495012653&discipline_number=1
I am doing now some self-study on it,,,can you tell me please what you think of the book? and which topics do you recommend for the 2nd year in the university?
thanks a lot.


Funny that you ask. About 2 weeks ago I was going to ask the same question because that is the same book that my school uses. What prompted my concern were some particularly harsh reviews of the second addition of that book on Amazon:



As an example one guy wrote:

"Horrible paedagogical dreck ... his book is a DE text for students who've had the misfortune to have been subjected to "reformed calculus"--- i.e., calculus without algebra. There is very little substance here, only high-school level chit-chat and "qualitative analysis" of nearly trivial problems. The writing style is insulting to anyone other than brain-dead pedagogs."

Of course a few Amazon reviews don't make and break a book but I was very curious to know if others had used it, and what their thoughts were.
 
Last edited by a moderator:

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