A Primer of Nonlinear Analysis
Book Details
Format
Paperback / Softback
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521485738
ISBN-13
9780521485739
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 9th, 1995
Print length
180 Pages
Weight
306 grams
Dimensions
22.90 x 15.40 x 1.20 cms
Product Classification:
Differential calculus & equationsDifferential calculus and equations
Ksh 8,650.00
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This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory. The book is intended to accompany advanced courses for students of pure and applied mathematics and physics; exercises are consequently included.
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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