Introduction to Differential Geometry with Applications to Navier-Stokes Dynamics

Introduction to Differential Geometry with Applications to Navier-Stokes Dynamics
Author :
Publisher : iUniverse
Total Pages : 165
Release :
ISBN-10 : 9780595339211
ISBN-13 : 0595339212
Rating : 4/5 (11 Downloads)

Book Synopsis Introduction to Differential Geometry with Applications to Navier-Stokes Dynamics by : Troy L Story

Download or read book Introduction to Differential Geometry with Applications to Navier-Stokes Dynamics written by Troy L Story and published by iUniverse. This book was released on 2005 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 calculus, Homology and co-homology, Applications 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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curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth an