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Essays in Mathematics and its Applications

In Honor of Vladimir Arnold

Panos M. Pardalos (Hrsg.), Themistocles M. Rassias (Hrsg.)

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.

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Schlagwörter

nonlinear mathematics, Cayley transform, augmentation ideal, Floer chain complex, algebraic and differential topology, Arnold conjecture, Rodrigues formula, extended lattice operations, mildly continuous relations, positive semidefinite cone, fundamental group, Rodrigues coefficients, generalized uniformities, classical mechanics, stability of integrable systems, variational inequalities, singularity theory, homology with local coefficients, exponential map