First order differential equations ?

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Discussion Overview

The discussion revolves around recommendations for books on first order differential equations, focusing on various titles and their perceived strengths and weaknesses. Participants share their personal experiences and preferences regarding different textbooks.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants recommend "Differential Equations" by Shepley L. Ross, noting it as a nice book.
  • Others mention "Differential Equations" by Maurris Terrabaun, although there is uncertainty about the spelling of the author's name.
  • Standard textbooks such as Zill and Boyce/Prima are mentioned as commonly used in universities, described as generic but effective.
  • One participant suggests purchasing Ross and supplementing it with either Boyce/Prima or Zill.
  • Concerns are raised about the operator method section in Ross being hard to read for some, while others found it readable.
  • It is noted that the Laplace Transform is well explained in Ross, but Zill provides more detailed explanations.
  • Some participants find Zill and Boyce to have more challenging problems compared to Ross.
  • The book by Simmons, "Differential Equations with Applications and Historical Notes," is described as interesting but lacking in coverage according to one participant.
  • A follow-up question is posed regarding specific topics that may be lacking in Simmons' book.

Areas of Agreement / Disagreement

Participants express differing opinions on the strengths and weaknesses of various textbooks, indicating that there is no consensus on a single best book for learning first order differential equations.

Contextual Notes

Some participants express personal preferences and experiences with the books, which may not reflect a comprehensive evaluation of the texts. There are also mentions of specific sections that may be challenging for some readers, indicating variability in individual learning experiences.

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what is a good book to learn first order differential equations ??
 
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Ross: Differential Equations
Maurris Terrabaun (Not sure how this is spelled): It is a dover title.
Zill or Boyce/Prima: These are the standard textbooks used at universities. Generic, but get the job done.

I would purchase Ross and supplement it with either Boyce/Prima or Zill.

The Terrabaun book is also nice, but for some reason I prefer Ross.

My only complaint with Ross, is that the operator method section can be hard to read for some people. A few of my friends found that section to be incoherent. I found it readable. Laplace Transform is explained well, but Zill gives a bit more explanation. That is the only thing I liked about ZIll.

Zill/Boyce have harder plug and chug problems.

The book by Simmons: Differential Equations with Applications and Historical Notes, is also nice. I found it to concise for my needs. Lots of thinking problems. It is an interesting read, like all of Simmons books. Found the coverage lacking.
 
MidgetDwarf ,

Shepley L. Ross - Differential Equations ,looks like a really nice book ...thanks a lot for all the book suggestions ...
 
MidgetDwarf said:
Ross: Differential Equations
Maurris Terrabaun (Not sure how this is spelled): It is a dover title.
Zill or Boyce/Prima: These are the standard textbooks used at universities. Generic, but get the job done.

I would purchase Ross and supplement it with either Boyce/Prima or Zill.

The Terrabaun book is also nice, but for some reason I prefer Ross.

My only complaint with Ross, is that the operator method section can be hard to read for some people. A few of my friends found that section to be incoherent. I found it readable. Laplace Transform is explained well, but Zill gives a bit more explanation. That is the only thing I liked about ZIll.

Zill/Boyce have harder plug and chug problems.

The book by Simmons: Differential Equations with Applications and Historical Notes, is also nice. I found it to concise for my needs. Lots of thinking problems. It is an interesting read, like all of Simmons books. Found the coverage lacking.
MidgetDwarf, what are the topics that you found lacking in the book by Simmons?
 

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