Differential calculus in several variables

Marius Ghergu is an Associate Professor at University College Dublin. He holds a Ph.D. from Universite de Savoie, France. His interests lie at the interface of Calculus and Partial Differential Equations. He is the author and co-author of four research monographs. He has published over 60 research articles in major journals in the field and has been invited to give talks at various international meetings such as conferences and summer schools for graduate students.

Ch 1. Vectors and Sets Ch 2. Functions of several variables Ch 3. Limits and continuity Ch 4. Differentiable functions Ch 5. Chain rule and the Mean Value Theorem Ch 6. Directional derivative Ch 7. Higher order derivatives Ch 8. Taylor’s theorem and approximations Ch 9. Inverse and Implicit Function Theorem Ch 10. Maxima and Minima Ch 11. Constrained optimisation and applications Ch 12. Solutions