Introduction to Differential Geometry with applications to Navier-Stokes Dynamics

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.<p>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:<br><ul><li>Geometry <li>Exterior calculus<li>Homology and co-homology<li>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.