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Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.
Published by: Springer
Publication Date: 1999-12-15
Format: Paperback
ISBN-13: 9783540521181
DOI: 10.1007/978-3-642-57134-3
Dimensions: 235cm x155cm
Pages: 304