A Primer of Nonlinear Analysis
Antonio Ambrosetti, Giovanni Prodi
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 differential 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.
年:
1993
出版社:
Cambridge University Press
语言:
english
页:
178
ISBN 13:
9780521373906
系列:
Cambridge Studies in Advanced Mathematics 34
文件:
DJVU, 1.74 MB
IPFS:
,
english, 1993