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.
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