This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing vector fields in three-dimensional Euclidean space, triply-orthogonal systems and applications in mechanics. Topics covered include Pfaffian forms, systems in n-dimensional space, and foliations and their Godbillion-Vey invariant. There is much interest in the study of geometrical objects in n-dimensional Euclidean space and this volume provides a useful and comprehensive presentation.
Preface; Part I: Vector Fields in Three-Dimensional Euclidean Space; Part II: Vector Fields and Differential Forms in Many-Dimensional Euclidean and Riemannian Spaces; References; Subject Index; Author Index
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