Tekijä: Antonio Ambrosetti; Giovanni Prodi Kustantaja: Cambridge University Press (1995) Saatavuus: | Arvioimme, että tuote lähetetään meiltä noin 1-3 viikossa
Tekijä: Antonio Ambrosetti; Andrea Malchiodi Kustantaja: Cambridge University Press (2007) Saatavuus: | Arvioimme, että tuote lähetetään meiltä noin 1-3 viikossa
Tekijä: Matthew J. Gursky; Antonio Ambrosetti; Ermanno Lanconelli; Sun-Yung Alice Chang; Andrea Malchiodi; Gabriella Tarantello Kustantaja: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2009) Saatavuus: Noin 17-20 arkipäivää
This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.