Geometrical Properties Of Vectors And Covectors: An Introductory Survey Of Differentiable Manifolds, Tensors And Forms

Discover the fascinating world of geometry with Geometrical Properties Of Vectors And Covectors: An Introductory Survey Of Differentiable Manifolds, Tensors And Forms by Joaquim M. Domingos. Published by World Scientific Publishing Co Pte Ltd in 2006, this insightful hardback edition spans 84 pages and serves as an essential guide for anyone interested in the intricacies of mathematical physics and geometry.

This book offers a concise introduction to key geometrical topics, including topological spaces, the metric tensor, Euclidean space, and manifolds. It lays a solid foundation for understanding fundamental concepts such as the differential of a function as a covector, metric dual, inner product, wedge product, and cross product. Perfect for students and enthusiasts alike, Domingos' work is an invaluable resource that bridges the gap between abstract mathematical theories and practical applications.