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Gecko
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what are some of the best intros to ODEs? also, has anyone read any of the Dover books on ODEs and know which one is best? thanks.
rachmaninoff said:I need to find the Tenenbaum & Pollard, never heard of it before...
I second the Boyce-DiPrima - it's very clear, and also the pictures are really great (it matters!)
Ordinary Differential Equations (ODEs) are mathematical equations that describe the relationships between a function and its derivatives. These equations are used to model a wide range of phenomena in physics, engineering, and other fields.
ODEs are important because they allow us to understand and predict the behavior of systems that change over time. This is crucial in many scientific fields, as it allows us to make accurate predictions and design effective solutions.
The best books for learning about ODEs should have a clear and concise explanation of the concepts, a variety of examples and exercises for practice, and a strong focus on real-world applications. It should also be written in a way that is accessible to readers with different levels of mathematical background.
A solid foundation in calculus and linear algebra is highly recommended for studying ODEs. It is also helpful to have a good understanding of basic physics and differential equations.
Some popular books for learning about ODEs include "Ordinary Differential Equations" by Morris Tenenbaum and Harry Pollard, "Differential Equations: An Introduction" by James R. Brannan and William E. Boyce, and "Elementary Differential Equations and Boundary Value Problems" by William E. Boyce and Richard C. DiPrima. However, the best book for you will depend on your individual learning style and background, so it is recommended to explore different options and choose the one that best suits your needs.