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Emphasises on the qualitative and geometric properties of Ordinary Differential Equations (ODEs) and their solutions. This book includes material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation.
Bemærk: Kan ikke leveres før jul.
Bemærk: Kan ikke leveres før jul.
First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a... Læs mere
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This book addresses the relationship between algebraic formulas and geometric images. In spite of the simplicity and importance of this problem, it remains unsolved to this day although, as the book shows, many remarkable results have been discovered.
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The main theme emerging in Arnold's work of this period is the development ofsingularity theory of smooth functions and mappings.Thevolume also contains papers by V.I. Arnold's lectures on bifurcations of discretedynamical systems, as well as a review by V.I.