Introductory Differential Equations Textbook

In summary, Marty G's review of the book An Introduction to Differential Equations and Their Applications recommends that students supplement the book with another. Schaum's Outline of Differential Equations seems to provide a good overview of the material for this particular class.
  • #1
_N3WTON_
351
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Ok, for my differential equations class we are using a textbook called "An Introduction To Differential Equations and Their Applications" by Stanley Farlow. The book can be found here:
https://www.amazon.com/dp/048644595X/?tag=pfamazon01-20
and I must say that I 100% agree with the assessment provided by Marty G in the first review. Therefore, I feel that it would be wise to obtain a second textbook in order to supplement the first one (or perhaps replace it all together) so that I can more fully understand the material. I was hoping someone could provide some recommendtions. Topics to be covered in the class include: First Order ODE, Second Order ODE, Series Solutions, The Laplace Transformation, and System of DiffEq. The focus is one applications. Thank you. :)
 
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  • #2
Schaum's Outline of Differential Equations seemed to cover the topic nicely, from using standard solution techniques to covering the various numerical solution methods.

https://www.amazon.com/dp/0071611622/?tag=pfamazon01-20

As with all titles in the Schaum's series, there are plenty of worked example problems and additional practice problems.
 
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  • #3
SteamKing said:
Schaum's Outline of Differential Equations seemed to cover the topic nicely, from using standard solution techniques to covering the various numerical solution methods.

https://www.amazon.com/dp/0071611622/?tag=pfamazon01-20

As with all titles in the Schaum's series, there are plenty of worked example problems and additional practice problems.
awesome, thank you so much! I'm ordering a copy now :)
 
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  • #5
mathwonk said:
in my opinion, this is probably the best intro to diff eq:

https://www.amazon.com/dp/0486649407/?tag=pfamazon01-20
Damn, I was really hoping you posted the same book as SteamKing...they are both cheap though so I guess I'll just have an abnormally large collection of DiffEq textbooks :p...also thanks for your advice
 
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What is an introductory differential equations textbook?

An introductory differential equations textbook is a learning resource that covers the basic concepts and techniques of differential equations. It is designed for students who are new to the subject and provides a foundation for further study in mathematics, science, engineering, and other fields.

Who is an introductory differential equations textbook intended for?

An introductory differential equations textbook is intended for students who have a basic understanding of calculus and are interested in learning about differential equations. It is commonly used in undergraduate courses in mathematics, physics, engineering, and other related fields.

What topics are typically covered in an introductory differential equations textbook?

An introductory differential equations textbook typically covers topics such as first-order differential equations, higher-order differential equations, systems of differential equations, and applications of differential equations in various fields. It may also include discussions on numerical methods, series solutions, and Laplace transforms.

What makes a good introductory differential equations textbook?

A good introductory differential equations textbook should have clear and concise explanations of concepts, a variety of examples and exercises for practice, and a good balance between theory and applications. It should also have a well-organized structure and provide helpful resources for further learning, such as online resources or supplementary materials.

How can an introductory differential equations textbook be used effectively?

An introductory differential equations textbook can be used effectively by following the recommended sequence of topics and practicing regularly. It is also helpful to seek additional resources, such as online tutorials or study groups, and to seek help from instructors or peers when needed. It is important to understand the concepts rather than just memorizing formulas and to apply them to real-world problems.

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