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.
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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.
'There's no more economical or lucid introduction to the subject than this great little book.' The Mathematical Intelligencer
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : New. 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. N° de réf. du vendeur LU-9780521485739
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Etat : New. This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 180 pages, 36 b/w illus. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 154 x 12. Weight in Grams: 306. . 1995. Illustrated. paperback. . . . . N° de réf. du vendeur V9780521485739
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