Calculus What is the best textbook for understanding differentials?

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SUMMARY

The discussion centers on recommendations for textbooks on differential equations, specifically addressing the inadequacies of the original textbook listed by the user. Key suggestions include "Differential Equations" by Ross, which is praised for its clarity and depth suitable for both introductory and advanced courses, and "Differential Equations" by Arnold, noted for its rigorous approach and intuitive explanations. Participants emphasize the importance of selecting a textbook that covers essential concepts effectively, with Ross's book being particularly recommended for undergraduates.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with ordinary differential equations (ODE)
  • Knowledge of mathematical proofs and problem-solving techniques
  • Basic familiarity with mathematical terminology related to differential equations
NEXT STEPS
  • Research "Differential Equations" by Ross for a comprehensive introduction
  • Explore "Differential Equations" by Arnold for advanced insights and proofs
  • Investigate supplementary problem-solving books on differential equations
  • Look into online resources or courses that complement textbook learning
USEFUL FOR

Undergraduate mathematics students, educators seeking effective teaching materials, and anyone looking to deepen their understanding of differential equations.

jhami
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Hi,

I am an undergrad looking to purchase a good textbook on differentials for my course which I will be taking soon, and the textbook listed for the differentials course is this one (https://www.amazon.com/gp/product/1118531779/?tag=pfamazon01-20) which apparently is not very good. So can anyone recommend a good textbook on this subject which teaches the same concepts as this textbook?

Thanks,
 
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Are you looking for a book for differential equations? I like this Dover book. In addition, this is a good book for a begineer. Another good book is this. Fro problems, this is a good book.
 
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Likes l2p2l2t
Yeah, just one with all the same topics in the original textbook i posted.
 
An older book, would be the one by Ross. I am to lazy to look at the table of contents of your book, But Ross: Differential Equations, is a very good introduction to the subject that also has enough content for a second course. The best book on differential equations is by Arnold, but that's an advance book, and I doubt many undergraduate math majors could grasp it. The author provides proofs when they can be proved at that level. Or he gives an intuitive explanation. Also explains the methods of solutions for non-homogenous solutions, and how to derive them, instead of memorizing a chart, like many current books on ODE do.

I really hated the subject of Differential Equations, I like more pure mathematics, but Ross made me like the subject, and Arnold made me love it.

https://www.amazon.com/dp/B0006BM12I/?tag=pfamazon01-20
That is the link for the Ross book. It's no more than 10 shipped used.
 
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i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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