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Math10

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- Thread starter Math10
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In summary: An Introduction to Differential Equations", is a great introduction to the subject, and it's much more reader-friendly than Arnol'd.

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Math10

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- #2

verty

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I didn't respond till now because my answer was always going to be somewhat disappointing: differential equations are very theoretical and most books are quite similar. They also seem to be quite expensive.

But I've found an older edition book for you that should have sufficiently many problems and answers for you to have no trouble learning from it. The authors also write a very good calculus book, and you can always ask questions here on the forums, so this is my recommendation for you.

https://www.amazon.com/dp/0130113018/?tag=pfamazon01-20.

I chose this 4th edition because the newer editions are very expensive; this one is from 1999, not so long ago.

Hope this helps.

But I've found an older edition book for you that should have sufficiently many problems and answers for you to have no trouble learning from it. The authors also write a very good calculus book, and you can always ask questions here on the forums, so this is my recommendation for you.

https://www.amazon.com/dp/0130113018/?tag=pfamazon01-20.

I chose this 4th edition because the newer editions are very expensive; this one is from 1999, not so long ago.

Hope this helps.

Last edited by a moderator:

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Math10

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Thank you!

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mathwonk

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- #5

Modest Learner

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Or you may want to get Dennis G. Zill's book.

- #6

Modest Learner

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mathwonk said:

Off topic: If I am not wrong, you also write reviews on amazon.

- #7

ZetaOfThree

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Modest Learner said:How about Tenebaum and Pollard.

I second this. T&P is probably my favorite DEs book. It's good for self-study and has all the answers to the problems. It's only like $16 on Amazon too.

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Modest Learner said:Or you may want to take G.F. Simmon's Differential Equations with Historical Notes.

I recommend this book very highly. It's truly excellent.

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fisicist

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- #10

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Boyce and Diprima

A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It is commonly used in physics, engineering, and other sciences to model and predict the behavior of physical systems.

A textbook provides a comprehensive and organized approach to learning differential equations. It presents the fundamental concepts, theories, and methods used in solving differential equations, making it an essential resource for students and researchers in the field.

A good textbook for differential equations should have clear explanations, relevant examples, and a variety of practice problems. It should also cover a wide range of topics, from basic concepts to advanced techniques, and include applications in various fields.

There are many excellent textbooks for differential equations, so the best one for you will depend on your level of knowledge and your specific needs. Some popular options include "Differential Equations with Applications and Historical Notes" by George F. Simmons, "Elementary Differential Equations and Boundary Value Problems" by William E. Boyce and Richard C. DiPrima, and "Differential Equations: An Introduction" by James R. Brannan and William E. Boyce.

To make the most out of a textbook for differential equations, it is recommended to read and study the material thoroughly, practice solving problems regularly, and seek help from your instructor or peers when needed. It is also helpful to supplement your learning with other resources, such as online tutorials, videos, and study groups.

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