NONLINEAR PERRON-FROBENIUS THEORY by Bas Lemmens, Roger D. Nussbaum ( 9780521898812 )

Item Details

Title:

NONLINEAR PERRON-FROBENIUS THEORY

By:

Bas Lemmens, Roger D. Nussbaum

Format:

Hardback

List price:

£115.00

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£100.63

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12.5% off

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£14.37

ISBN 10:

0521898811

ISBN 13:

9780521898812

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

3 May, 2012

Series:

Cambridge Tracts in Mathematics 189

Pages:

336

Description:

Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.

Synopsis:

In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology.

Illustrations:

15 b/w illus.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

Some other items by this author:

DYNAMICAL SYSTEMS (PB)

GENERALIZATIONS OF THE PERRON-FROBENIUS THEOREM FOR NONLINEAR MAPS (PB)

ITERATED NONLINEAR MAPS AND HILBERT'S PROJECTIVE METRIC (PB)

NONLINEAR PERRON-FROBENIUS THEORY