Introduction to Differential Geometry with applications to Navier-Stokes Dynamics
By Troy L Story
* Publisher: iUniverse, Inc.
* Number Of Pages: 164
* Publication Date: 2005-04-28
* ISBN-10 / ASIN: 0595339212
* ISBN-13 / EAN: 9780595339211
Product Description:
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.
Summary: Excellent Investment
Rating: 5
Beginning with a definiton of Euclidean geometry, this book presents a logical and rigorous introduction to differential geometry and exterior calculus. Rather than using the style of of writing theorems followed by proofs or sketches of proofs, the writer displays fundamental definitions followed by examples and a chapter on applications to dynamics. In contrast to one of the reviewers, my purchase of this book is an excellent investment.
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