Introduction to Differential Geometry with applications to
Navier-Stokes Dynamics is an invaluable manuscript for anyone who
wants to understand and use exterior calculus and differential
geometry, the modern approach to calculus and geometry.
Author Troy Story makes use of over thirty years of research
experience to provide a smooth transition from conventional
calculus to exterior calculus and differential geometry, assuming
only a knowledge of conventional calculus. Introduction to
Differential Geometry with applications to Navier-Stokes Dynamics
includes the topics:
Geometry Exterior calculusHomology and co-homologyApplications of
differential geometry and exterior calculus to: Hamiltonian
mechanics, geometric optics, irreversible thermodynamics, black
hole dynamics, electromagnetism, classical string fields, and
Navier-Stokes dynamics.
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