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About the Book

An Introduction to Differential Geometry with Tensor Applications discusses the theory of tensor, curves, and surfaces and its application in Newtonian Mechanics. Since tensor analysis deals with entities and properties that are independent of choice of reference frames, it forms an ideal tool for the study of Differential Geometry and classical and celestial mechanics. This book provides a profound introduction to the basic theory of Differential Geometry: curves and surfaces. The author has tried to keep the treatment of the advanced material as lucid and comprehensive as possible mainly by including the utmost detailed calculations, numerous illustrative examples, and a wealth of complementing exercises with complete solutions making the book easily accessible even to beginners in the field. Differential Geometry, from the beginning on, characterizes the author’s utmost efficient didactical approach. This book is one of the outstanding standard primers of modern Differential Geometry and a basic source for a profound introductory course or as a highly recommendable reference for effective self-study of the subject.