Physics/Mathematics
Every advanced undergraduate and graduate student of physics
must master the concepts of vectors and vector analysis. Yet most
textbooks cover this topic by merely repeating the
introductory-level treatment based on a limited algebraic or
analytic view of the subject.
By contrast, Geometrical Vectors introduces a more sophisticated
approach, which not only brings together many loose ends of the
traditional treatment, but also leads directly into the practical
use of vectors in general curvilinear coordinates by carefully
separating those relationships which are topologically invariant
from those which are not. Based on the essentially geometric nature
of the subject, this approach builds consistently on students'
prior knowledge and geometrical intuition.
Written in an informal and personal style, Geometrical Vectors
provides a handy guide for any student of vector analysis. Clear,
carefully constructed line drawings illustrate key points in the
text, and a set of problems is provided at the end of each chapter
(except the Epilogue) to deepen understanding of the material
presented. Pertinent physical examples are cited to show how
geometrically informed methods of vector analysis may be applied to
situations of special interest to physicists.
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