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Dynamics on Differential One-Forms proposes a unifying principle for mathematical models of dynamic systems. In "Thermodynamics on One-Forms (chapter I)", the l
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Introduction to Differential Geometry with applications to Navier-Stokes Dynamics is an invaluable manuscript for anyone who wants to understand and use exterio
Differential Geometry Applied To Dynamical Systems (With Cd-rom)
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This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an
Electricity and Magnetism for Mathematicians
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Mechanics in Differential Geometry
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This course and reference book is autonomous and is based on differential geometry in a practical way with symplectic geometry as a tool. Didactic comparisons,