A Primer of Nonlinear Analysis (Cambridge Studies in Advanced Mathematics)

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9780521373906: A Primer of Nonlinear Analysis (Cambridge Studies in Advanced Mathematics)
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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 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.

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The first part of this introduction 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.

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"...will doubtless be a much-valued contribution to the vast literature on nonlinear analysis." Jean Mawhin, Mathematical Reviews

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9780521485739: A Primer of Nonlinear Analysis (Cambridge Studies in Advanced Mathematics)

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ISBN 10:  0521485738 ISBN 13:  9780521485739
Publisher: Cambridge University Press, 1995
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Ambrosetti, Antonio, Prodi, Giovanni
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Antonio Ambrosetti; Giovanni Prodi
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