By Antonio Ambrosetti, Giovanni Prodi

ISBN-10: 0521485738

ISBN-13: 9780521485739

This is often an advent to nonlinear practical research, specifically to these equipment in response to differential calculus in Banach areas. it truly is in elements; the 1st bargains with the geometry of Banach areas and encompasses a dialogue of neighborhood and international inversion theorems for differentiable mappings.In the second one half, the authors are extra excited by bifurcation concept, together with the Hopf bifurcation. They comprise lots of motivational and illustrative purposes, which certainly offer a lot of the justification of nonlinear research. particularly, they talk about bifurcation difficulties bobbing up from such components as mechanics and fluid dynamics.The publication is meant to accompany top department classes for college students of natural and utilized arithmetic and physics; workouts are accordingly incorporated.