What would you recommend as the best book on Ordinary Differential Equations?
Dear Ghassan A. Al-Juaifri
I highly recommend these two books:
1. Hairer, Ernst, Nørsett, Syvert P., Wanner, Gerhard. "Solving Ordinary Differential Equations I" Nonstiff Problems (1993).
2. Wanner, Gerhard, and Ernst Hairer. "Solving ordinary differential equations II." Stiff and Differential-Algebraic Problems (1996).
Analyse numérique et équations différentielles
Livre de Jean-Pierre Demailly
Ordinary Differential Equations: Second Edition
Philip Hartman, SIAM, 1982
Dear Ghassan,
"Best" is a relative concept. I find the following textbooks very useful:
-Agarwal RP and O’Regan D (2008) An Introduction to Ordinary Differential Equations. Springer
-Zill DG, and Cullen MR (2009) Differential Equations with Boundary-Value Problems. Seventh Edition, Brooks/Cole Cengage Learning.
-Nagle, RK, Saff EB, Snider D (2012) Fundamentals of differential equations. 8th ed. Pearson.
-Simmons GF (2017) Differential Equations with Applications and Historical Notes,Third Edition, Taylor & Francis Group, LLC.
-Boyce and DiPrima Elementary Differential Equations and Boundary Value Problems, Wiley.
A. U. Keskin
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